MBA CET 2026 Slot 3 question paper with solutions

Approach: HCF takes the lowest power of each common prime; LCM takes the highest power of every prime.

Solution:
2472 = 2³ × 3 × 103 and 1284 = 2² × 3 × 107.
HCF of all three = 12 = 2² × 3 → N must be divisible by 2² × 3, and N's power of 2 is at most 3.
LCM = 2³ × 3² × 5 × 103 × 107. The two given numbers supply 2³, 103, 107 but only 3¹ and no 5.
So N must supply 3² (exactly, not 3³) and 5¹, and must not bring any new prime.
Minimum such N = 2² × 3² × 5 = 180 → matches option C.

Why the other options are wrong:

• A: contains 7 and no 5 → LCM would have 7 and lack 5.
• B: 3³ makes LCM contain 3³, and 5 is missing.
• D: no factor 2² → HCF would become 3, not 12; also 3³ and no 5.
• E: no 5 → LCM would lack 5.

Cetking shortcut: Look only for the prime missing from the two given numbers (here 5) plus the exact power 3² — only C has both.

Answer: C

Approach: Least perfect square divisible by a set = LCM of the set made to have all even exponents.

Solution:
LCM(2, 3, 4, 6, 9, 18, 30, 60) = 2² × 3² × 5 = 180.
Exponent of 5 is odd → multiply by 5: 180 × 5 = 900 = 30².
k = 30 = 2 × 3 × 5.
Sum of prime factors of k = 2 + 3 + 5 = 10.

Cetking shortcut: Primes appearing anywhere in the list are 2, 3, 5 — k must contain each, so the sum is 10 directly.

Answer: C

Approach: Remainder of a sum = remainder of the sum of individual remainders.

Solution:
Sum = 73 + 75 + 78 + 57 + 197 = 480.
34 × 14 = 476.
480 − 476 = 4.

Cetking shortcut: Remainders by 34: 5 + 7 + 10 + 23 + 27 = 72 → 72 − 68 = 4.

Answer: B

Approach: Heads–legs problem: two linear equations in two unknowns.

Solution:
Let horses = h, ostriches = o.
Heads: h + o = 86. Legs: 4h + 2o = 250.
Halve legs: 2h + o = 125 → subtract heads equation: h = 39.
o = 86 − 39 = 47.

Cetking shortcut: If all 86 were ostriches → 172 legs; extra 250 − 172 = 78 legs ÷ 2 per horse = 39 horses → ostriches = 47.

Answer: C

Approach: Translate each transfer statement into a linear equation and solve.

Solution:
Let hall X = x, hall Y = y.
I: x − 15 = y + 15 → x − y = 30.
II: x + 25 = 2(y − 25) → x = 2y − 75.
Substitute: 2y − 75 − y = 30 → y = 105, x = 135.
Check: 135+25 = 160 = 2 × 80 = 2 × (105−25). ✓

Cetking shortcut: Only options with x − y = 30 survive (A, B, C, D); test II on them — only 135, 105 gives 160 = 2 × 80.

Answer: D

Approach: Three numbers in GP: take them as a/r, a, ar so the product is a³.

Solution:
Product a³ = 216 → a = 6.
Sum: 6/r + 6 + 6r = 26 → 6/r + 6r = 20 → 3r² − 10r + 3 = 0.
r = 3 or 1/3 → numbers 2, 6, 18.
Check: 2 + 6 + 18 = 26, 2 × 6 × 18 = 216. ✓

Why the other options are wrong:

• A, B: 4, 6, 16 sums to 26 but 6/4 ≠ 16/6 (not a GP); product 384.
• C: 9, 6, 11 is not a GP; product 594.
• E: 5, 7, 14 is not a GP; product 490.

Cetking shortcut: Middle term of a 3-term GP = cube root of the product = 6; then check which option has 6² = first × third (2 × 18 = 36).

Answer: D

Approach: Difference series — differences are consecutive perfect squares.

Solution:
Differences: 650→601 = −49, 601→565 = −36, 565→540 = −25, 540→524 = −16.
These are −7², −6², −5², −4² → next is −3² = −9.
524 − 9 = 515.

Cetking shortcut: Whenever differences are 49, 36, 25… think squares immediately.

Answer: C

Approach: Second-difference series — the differences grow by a constant 16.

Solution:
Known differences: 118 − 94 = 24, 158 − 118 = 40 (+16).
Next differences: 56, 72, 88.
Missing term = 158 + 56 = 214.
Check: 214 + 72 = 286, 286 + 88 = 374. ✓

Cetking shortcut: Use the end: 374 − 286 = 88, so the difference before is 72 → 286 − 72 = 214.

Answer: C

Approach: Telescoping product: (1 − 1/n) = (n − 1)/n.

Solution:
Product = (2/3)(3/4)(4/5)…(99/100).
Every numerator cancels the previous denominator.
Only the first numerator (2) and last denominator (100) remain → 2/100 (= 1/50).

Why the other options are wrong:

• A: 99/100 is just the last factor.
• C: the product of fractions less than 1 cannot be 1.
• D, E: 101/100 is greater than 1 — impossible for a product of proper fractions (D and E are identical in the paper).

Cetking shortcut: First numerator over last denominator.

Answer: B

Approach: x + 1/x = 2 forces x = 1 (for real x).

Solution:
x + 1/x = 2 → x² − 2x + 1 = 0 → (x − 1)² = 0 → x = 1.
(2x² + 2)/(3x² + 5x + 3) = (2 + 2)/(3 + 5 + 3) = 4/11.

Cetking shortcut: Divide numerator and denominator by x: 2(x + 1/x) / (3(x + 1/x) + 5) = 4/(6 + 5) = 4/11.

Answer: A

Approach: Shift the decimal in pairs: √(13 × 100ⁿ) and √(130 × 100ⁿ) only move the decimal point.

Solution:
√1.3 = √(130/100) = √130 / 10 = 11.40 / 10 = 1.140.
√1300 = √(13 × 100) = 10√13 = 36.05.
√0.013 = √(130/10000) = √130 / 100 = 0.114.
Sum = 1.140 + 36.05 + 0.114 = 37.304.

Cetking shortcut: Count digits in pairs from the decimal point: 1.3 → 130 family, 1300 → 13 family, 0.013 → 130 family. No √10 needed.

Answer: D

Approach: List the primes, drop the end values, then average.

Solution:
First ten odd primes: 3, 5, 7, 11, 13, 17, 19, 23, 29, 31.
Exclude smallest 3 and largest 31.
Sum of remaining 8 = 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 = 124.
Average = 124 / 8 = 15.5.

Cetking shortcut: Total of all ten = 158; 158 − 34 = 124; 124/8 = 15.5.

Answer: A

Approach: Weighted average / alligation of two groups.

Solution:
Let total workers = n.
9000n = 15 × 5000 + (n − 15) × 10000.
9000n = 75000 + 10000n − 150000 → 1000n = 75000 → n = 75.

Cetking shortcut: Alligation: officers are 4000 below average, others 1000 above → officers : others = 1 : 4 → 15 : 60 → total 75.

Answer: A

Approach: Chain the ratios by making the common term equal.

Solution:
A : B = 3 : 4 = 6 : 8 and B : C = 8 : 10 → A : B : C = 6 : 8 : 10.
C : D = 15 : 17; make C = 30 (LCM of 10 and 15): A : B : C = 18 : 24 : 30 and C : D = 30 : 34.
A : B : C : D = 18 : 24 : 30 : 34, total 106 parts.
1 part = 212 / 106 = 2 → D = 34 × 2 = 68.

Cetking shortcut: 212 = 2 × 106, so the answer must be 2 × (D's parts); only 68 = 2 × 34 fits once C is scaled to 30.

Answer: A

Approach: Write the final quantities as ratio multiples k, then add back what was removed.

Solution:
After changes: Aman = 46k, Rohit = 41k, Suresh = 34k.
Original: Aman = 46k + 30, Rohit = 41k + 30, Suresh = 34k + 25.
Total: 121k + 85 = 2505 → 121k = 2420 → k = 20.
Rohit received 41 × 20 + 30 = 850.

Cetking shortcut: 2505 − 85 = 2420 is divisible by 121 (= 46 + 41 + 34) → k = 20 at once.

Answer: B

Approach: Convert every average into a total at a fixed time point, then shift ages carefully.

Solution:
5 years ago: P + Q = 2 × 15 = 30 → now P + Q = 40.
5 years from now: (P + Q + 10) + (R + 5) = 3 × 25 = 75.
50 + R + 5 = 75 → R = 20 (present age).
Check with R = Q − 5: Q = 25, P = 15 → consistent.
R after 10 years = 20 + 10 = 30.

Why the other options are wrong:

• E (40): does not satisfy the totals; R is 20 now, so 30 after 10 years.
• A (20): R's present age, not after 10 years.
• B, D: do not satisfy the totals.

Cetking shortcut: Total of P, Q at +5 years = 30 + 2 × 10 = 50; three-person total 75 → R at +5 = 25 → R at +10 = 30.

Answer: C

Approach: Overall pass % = total passed / total students (weighted, not simple average).

Solution:
Total students = 20 + 40 + 60 + 80 = 200.
Passed = 10% of 20 + 20% of 40 + 30% of 60 + 40% of 80 = 2 + 8 + 18 + 32 = 60.
Pass % = 60/200 × 100 = 30%.

Cetking shortcut: Weights 1 : 2 : 3 : 4 → (10 + 40 + 90 + 160)/10 = 30%.

Answer: B

Approach: Add the actual water quantities and divide by total volume.

Solution:
Water in first = 20% of 40 = 8 L.
Water in second = 30% of 60 = 18 L.
Total water = 26 L in 100 L → 26%.

Cetking shortcut: Weighted average: (40 × 20 + 60 × 30)/100 = 26%.

Answer: B

Approach: Depreciation: Value = P(1 − r/100)ⁿ.

Solution:
Value = 3,20,000 × (0.95)⁶.
(0.95)² = 0.9025; (0.95)³ = 0.857375; (0.95)⁶ = 0.857375² ≈ 0.73509.
Value ≈ 3,20,000 × 0.73509 ≈ ₹2,35,229 ≈ ₹2,35,230.

Cetking shortcut: Binomial: (1 − 0.05)⁶ ≈ 1 − 0.30 + 0.0375 − 0.0025 ≈ 0.735 → 3,20,000 × 0.735 ≈ 2,35,200 → C.

Answer: C

Approach: Fix the old total cost; let usage of raw material become a fraction u and keep total cost equal.

Solution:
Old: raw material cost = 100, labour = 25% of 100 = 25, total = 125.
New price of raw material = 115 per old unit of usage; labour = 30% of raw material cost.
New total = 115u + 0.30 × 115u = 149.5u.
149.5u = 125 → u = 0.8361.
Reduction in usage = (1 − 0.8361) × 100 ≈ 16.4%.

Cetking shortcut: Reduction = 1 − 125/149.5 = 24.5/149.5 ≈ 16.4%.

Answer: B

Approach: False weight: Profit % = error / (true value given) × 100.

Solution:
Let CP of 1 kg = ₹100.
He gives 900 g (cost ₹90) but charges ₹100.
Profit = 10 on cost 90 → 10/90 × 100 = 11 1/9 %.

Cetking shortcut: Profit % = shortfall / weight actually given = 100/900 = 1/9 = 11.11%.

Answer: B

Approach: Find CP from the first sale, then profit % for the new SP.

Solution:
CP = 3600 / 1.2 = ₹3000.
New SP = 3150 → profit = 150.
Profit % = 150/3000 × 100 = 5%.

Cetking shortcut: 3150/3600 = 7/8 of the old SP → 1.2 × 7/8 = 1.05 → 5% profit.

Answer: B

Approach: Use the second loan to find time, then reverse simple interest for the first.

Solution:
Second case: SI = 840 − 750 = 90 = 750 × 4 × t/100 → t = 3 years.
First case: Amount = P(1 + 5 × 3/100) = 1.15P = 575.
P = 575 / 1.15 = ₹500.

Cetking shortcut: Test options: 500 × 1.15 = 575 ✓ directly.

Answer: B

Approach: Crossing a pole: distance = length of the train.

Solution:
Speed = 200 m / 8 s = 25 m/s.
In km/h: 25 × 18/5 = 90 km/h.

Why the other options are wrong:

• A, B: wrong conversions (18 and 72 km/h = 5 and 20 m/s).
• D: 25 m/s is numerically the same speed as 90 km/h; the official key takes the km/h form.
• E: 30 m/s = 108 km/h.

Cetking shortcut: m/s → km/h: multiply by 3.6.

Answer: C

Approach: Average speed = total distance / total time (not the mean of speeds).

Solution:
Take total distance = 6 units (LCM of 2 and 3): parts 3, 2, 1.
Time = 3/30 + 2/40 + 1/20 = 0.1 + 0.05 + 0.05 = 0.2.
Average speed = 6 / 0.2 = 30 km/h.

Cetking shortcut: Better: take distance = 120 km → 60/30 + 40/40 + 20/20 = 2 + 1 + 1 = 4 h → 120/4 = 30.

Answer: D

Approach: Work done by each pipe = rate × time it stays open.

Solution:
A works all 18 min: 18/24 = 3/4 of the tank.
B must fill the remaining 1/4: x/32 = 1/4 → x = 8 min.
B should be closed after 8 minutes.

Cetking shortcut: Remaining fraction × B's time = 1/4 × 32 = 8.

Answer: A

Approach: Leak rate = filling rate without leak − net rate with leak.

Solution:
Pipe alone: 1/6 per hour; with leak the tank takes 10 h → 1/10 per hour.
Leak rate = 1/6 − 1/10 = (5 − 3)/30 = 1/15.
The leak empties a full tank in 15 hours.

Cetking shortcut: Leak time = (6 × 10)/(10 − 6) = 60/4 = 15 h.

Answer: A

Approach: Rates in AP: first = x, second = x + d, third = x + 2d; use the 10-day/14-day equality.

Solution:
10(x + 2d) = 14x → 20d = 4x → x = 5d.
Rates: 5d, 6d, 7d → together 18d per day (one shift per day).
6 days: 6 × 18d = 108d = 324 → d = 3.
First digger = 5d = 15 m per shift.

Why the other options are wrong:

• B (18 m): second digger's rate (6d).
• C (21 m): third digger's rate (7d).
• D, E: do not satisfy 10 × third = 14 × first.

Cetking shortcut: Third : first = 14 : 10 = 7 : 5 → rates 5 : 6 : 7; daily total 324/6 = 54 = 18 parts → 1 part = 3 → first = 15.

Answer: A

Approach: Upstream speed = boat speed − stream speed.

Solution:
Upstream = 8 − 4 = 4 km/h.

Why the other options are wrong:

• A: 12 km/h is the downstream speed (8 + 4).

Answer: D

Approach: In 12 hours the hands are at right angles 22 times (not 24); double it for a day.

Solution:
In 12 hours the minute hand gains 11 full rounds on the hour hand.
Each round produces 2 right angles → 22 right angles in 12 hours.
In 24 hours: 22 × 2 = 44.
Overlaps and straight-line positions are separate events and are not counted anyway.

Why the other options are wrong:

• E (48): assumes 2 per hour × 24 — ignores that the hands gain only 22 rounds in a day.
• A, B, D: miscounts.

Cetking shortcut: Right angles = 44, straight (opposite) = 22, coincide = 22 in a day — memorise this triplet.

Answer: C

Approach: Count odd days from 26 January to 14 November (2026 is not a leap year).

Solution:
Odd days after 26 Jan: Jan 5, Feb 0, Mar 3, Apr 2, May 3, Jun 2, Jul 3, Aug 3, Sep 2, Oct 3, Nov 14 → 0.
Total = 5 + 0 + 3 + 2 + 3 + 2 + 3 + 3 + 2 + 3 + 0 = 26 → 26 mod 7 = 5.
(Check: 292 days = 41 weeks + 5 days.)
Monday + 5 = Saturday.

Cetking shortcut: Month codes: 26 Jan Monday → 14 Nov is 292 days later; 292 = 287 + 5 → Monday + 5 = Saturday.

Answer: C

Approach: With replacement the draws are independent: multiply probabilities.

Solution:
P(red) = 5/12 on each draw.
P(both red) = 5/12 × 5/12 = 25/144.

Why the other options are wrong:

• A: probability of a single red.
• C, D: mix of without-replacement / red-green products (35/144 = one red and one green in a fixed order).

Answer: B

Approach: Addition rule: P(M ∪ S) = P(M) + P(S) − P(M ∩ S).

Solution:
P(M ∪ S) = 0.30 + 0.20 − 0.10 = 0.40 = 2/5.

Why the other options are wrong:

• B, E: too large; would require fewer students in both.
• C: 5/3 > 1 — impossible as a probability.
• D: 3/10 is P(Maths) alone.

Answer: A

Approach: Joint variation: V = kAh. Keep all units in dm.

Solution:
150 cm = 15 dm, 180 cm = 18 dm.
240 = k × 48 × 15 → k = 240/720 = 1/3.
420 = (1/3) × A × 18 → A = 420/6 = 70 dm².
70 dm² = 70 × 100 cm² = 7000 cm².

Cetking shortcut: A₂ = A₁ × (V₂/V₁) × (h₁/h₂) = 48 × 7/4 × 5/6 = 70 dm²; 1 dm² = 100 cm².

Answer: B

Approach: Number of fills = tank volume / volume carried per fill (π = 22/7).

Solution:
Tank = 99 × 120 × 80 = 9,50,400 cm³.
Water per fill = π × 12² × (75% of 20 = 15) = (22/7) × 144 × 15 = 47520/7 cm³.
Fills = 950400 × 7 / 47520 = 140.

Cetking shortcut: 99 = 9 × 11 and 7 pairs with 22/7 — the numbers are built to cancel; 950400 ÷ 6788.57 = 140 exactly with π = 22/7.

Answer: C

Approach: Curved surface area of a cone = πrl.

Solution:
Equal diameters → equal r.
CSA₁ : CSA₂ = πrl₁ : πrl₂ = l₁ : l₂ = 5 : 7.

Why the other options are wrong:

• B: squares the ratio (that would be for similar figures' areas).
• A, C, E: no basis.

Answer: D

Approach: Find the rule linking the two numbers of each pair: second = 3 × first + 1.

Solution:
15 → 46 (45 + 1), 12 → 37 (36 + 1), 9 → 28 (27 + 1), 20 → 61 (60 + 1).
8 → 3 × 8 + 1 = 25, but the pair shows 33 → odd one out.

Why the other options are wrong:

• A, C, D, E: all follow ×3 + 1 (E is the stem's 15–46 pair, printed as '5 – 46' in the option).

Answer: B

Approach: Compare each number with the nearby perfect cube.

Solution:
25 = 3³ − 2, 62 = 4³ − 2, 123 = 5³ − 2, 341 = 7³ − 2.
218 = 6³ + 2 → the only one with +2 → odd one out.

Why the other options are wrong:

• A, C, D, E: all are n³ − 2.

Cetking shortcut: Numbers just below/above 27, 64, 125, 216, 343 → test cubes first.

Answer: B

Approach: Women together → treat them as one block.

Solution:
Units: 5 men + 1 women-block = 6 → 6! = 720 ways.
Women inside the block: 4! = 24 ways.
Total = 720 × 24 = 17,280.

Why the other options are wrong:

• A: forgets the internal 4! arrangement.
• B, C: partial counts (e.g. 6! × 3!, 6! × 4!/2).
• E: double-counts (×2).

Answer: D

Approach: Place vowels in their allowed positions, then consonants in the rest.

Solution:
EDUCATION: 9 distinct letters — vowels E, U, A, I, O (5), consonants D, C, T, N (4).
Odd positions 1, 3, 5, 7, 9 = 5 places → vowels: 5! = 120.
Remaining 4 even places → consonants: 4! = 24.
Total = 120 × 24 = 2880.

Why the other options are wrong:

• A: halves the answer (counts only one group fully).
• E: only 5! × 3! style partial count.
• C, D: arithmetic misreads of 2880.

Cetking shortcut: 5 vowels exactly fill 5 odd slots → answer is simply 5! × 4!.

Answer: B

Approach: Value = (central angle / 360°) × total.

Solution:
Rice − Wheat = 108° − 90° = 18°.
18/360 × 4800 = 4800/20 = 240 tonnes.

Cetking shortcut: Work with the angle difference directly: 1° = 4800/360 = 13.33 t → 18° = 240 t.

Answer: C

Approach: Increase one sector and recompute its share over the NEW total.

Solution:
Sugarcane = 72/360 = 20% of total (take total = 100).
After 20% increase: 20 × 1.2 = 24; new total = 100 + 4 = 104.
New share = 24/104 × 100 ≈ 23.08% ≈ 23%.

Why the other options are wrong:

• A: ignores the increase.
• C: uses a 25% increase and/or forgets the total grows.
• D, E: overstated shares.

Cetking shortcut: If a part p% grows by r%, new share = p(1 + r)/(100 + pr) → 24/104.

Answer: B

Approach: Apply the changes to the sector angles and compare.

Solution:
Rice: 108 × 0.9 = 97.2°.
Wheat: 90 × 1.1 = 99°.
Others unchanged: Sugarcane 72°, Maize 54°, Pulses 36°.
Wheat (99°) is now the highest.

Why the other options are wrong:

• A: Rice drops to 97.2°, below Wheat.
• C, D, E: 72°, 54°, 36° are far below.

Answer: B

Approach: Compare the summed angles of the two groups.

Solution:
Rice + Wheat + Sugarcane = 108 + 90 + 72 = 270°.
Maize + Pulses = 54 + 36 = 90°.
Ratio = 270 : 90 = 3 : 1.

Why the other options are wrong:

• A (2 : 1): ratio of the excess (270 − 90 = 180) to 90 — the question asks for the ratio of the two totals.
• C, D, E: do not match 270 : 90.

Cetking shortcut: The two groups make the whole 360°: 90° vs 270° → 1 : 3 instantly.

Answer: B

Approach: Apply the changes to the angles and test each statement.

Solution:
Pulses: 36 × 0.8 = 28.8°. Sugarcane: 72 × 1.2 = 86.4°.
Others: Rice 108°, Wheat 90°, Maize 54°.
Pulses (28.8°) is still the lowest → A is true.

Why the other options are wrong:

• B: Sugarcane 86.4° < Wheat 90°.
• C: 86.4° ≠ Rice 108°.
• D: Pulses 28.8° < Maize 54°.
• E: Rice 108° remains on top.

Cetking shortcut: Pulses was already the smallest and it only falls — A is true without calculating.

Answer: A

Approach: Ratio of averages over the same period = ratio of totals.

Solution:
Training: 5 + 10 + 15 + 5 + 10 = 45 → average 9.
Salaries: 20 + 30 + 30 + 15 + 30 = 125 → average 25.
9/25 × 100 = 36%.

Cetking shortcut: Skip averages: 45/125 = 36%.

Answer: A

Approach: Read the Salaries and Training segments for each year and subtract.

Solution:
2021: 20 − 5 = 15; 2022: 30 − 10 = 20; 2023: 30 − 15 = 15; 2024: 15 − 5 = 10; 2025: 30 − 10 = 20.
Maximum difference 20 occurs in 2022 and 2025.

Why the other options are wrong:

• B: 2021 (15), 2024 (10).
• C: 2024 is the minimum.
• D: 15 each.
• E: 2023 gives only 15.

Answer: A

Approach: Total expenditure = height of the full stacked bar.

Solution:
Totals: 2021 = 45, 2022 = 75, 2023 = 65, 2024 = 40, 2025 = 65.
Highest = 2022 (75).

Cetking shortcut: Just compare bar tops — no segment reading needed.

Answer: B

Approach: Sum the Training segments and match with a year's bar total.

Solution:
Training total = 5 + 10 + 15 + 5 + 10 = 45.
Year totals: 2021 = 45, 2022 = 75, 2023 = 65, 2024 = 40, 2025 = 65.
45 matches 2021.

Answer: D

Approach: Filter the years by the condition, then add Overhead for those years.

Solution:
Training − Promotion: 2021: 5 − 10 = −5; 2022: 10 − 15 = −5; 2023: 15 − 5 = 10; 2024: 5 − 5 = 0; 2025: 10 − 10 = 0.
Only 2023 satisfies 'at least ₹10 lakh'.
Overhead in 2023 = 50 − 45 = ₹5 lakh.

Why the other options are wrong:

• A, B, E: add Overhead of years that fail the condition (e.g. all five years = 30).
• D: misreads the 2023 Overhead segment as 10 (or adds 2025's 10).

Cetking shortcut: Only one bar (2023) has a tall Training and a thin Promotion segment — read just that bar.

Answer: C

Approach: Inference — paraphrase the second sentence of the passage.

Solution: Line 2: "The authenticity of democracy requires in addition that these reflective preferences influence collective outcomes and action." Reflection (reordering of preferences) must flow into action (collective outcomes). That is a strong reflection–action interaction — exactly option C.

Why the other options are wrong:
A: Rhetoric-laden talk is called strategic, "deceptive and coercive" — a threat to authenticity, not its source.
B: The passage says values may be realised only when individuals behave non-rationally; it never says only irrational persons have values.
D: Competition is an unstated theme that introduces strategy; 'alone can sustain' is unsupported and extreme.
E: Direct opposite of C — reflection must influence action, so the link is strong, not weak.

Cetking shortcut: When two options are exact opposites (C vs E), one of them is usually the answer — check which one the text supports.

Answer: C

Approach: Inference — decode 'ante' (= before) and see what it does to the deliberative-democracy argument.

Solution: Para 2: "Most human actions and discourses are actuated by a deeper or primordial ante-deliberation Desire… Engaging in a deliberation or else in an action is possible only since there has been such a Desire." So something non-deliberative comes before every deliberation. A position that says democracy is constituted by deliberative action is then undercut by its own starting point — a temporal (before/after) inconsistency. Option D captures this.

Why the other options are wrong:
A, B, E: The passage does not call deliberation irrational, useless or thoughtless — Desire is what makes deliberation possible.
C: Desire is the source of deliberation, not a substitute for it; the passage never says people act without thinking.

Cetking shortcut: 'Ante' = before (ante-date, ante-room). The only option dealing with timing/sequence is D.

Answer: D

Approach: Specific detail — match an option to a sentence in the passage.

Solution: Sentence 1: "Deliberative democracy demands a reflexive (or reflection driven) reordering of preferences in a non-coercive manner." Option E reproduces this almost word for word.

Why the other options are wrong:
A: The author questions authenticity under coercion; never says democracy is bound to fail.
B: Desire is described as primordial, but that is not the claim being argued about democracy; E is the stated thesis.
C: The author says Desire makes deliberation possible; there is no call to end it.
D: Contradicts sentence 1 — democracy demands reflexive reordering.

Cetking shortcut: 'Which is true' with a near-verbatim option of the first sentence — take it after a quick check of the rest.

Answer: E

Approach: NOT question — list what the passage attributes to Foucauldian discourse, then find the label it does not carry.

Solution: The passage says two separate things. (1) "A talk or a rhetoric, otherwise, is strategic and is employed with the intention of signalling certain information." (2) "The illocutionary force and the normative trappings of a Foucauldian discourse, while allowing identification with a community and differences with the others, do simultaneously pose through coercion a threat…" So Foucauldian discourse = power-based (normative force, coercion, discipline), community-based (identification with a community), and it works without a deliberate plan: the norms discipline thought on their own (non-strategic, unplanned). Strategy, the intentional signalling of information, is the mark of rhetoric. So Foucauldian discourse does NOT refer to strategic discourse.

Why the other options are wrong:
A: Power-based — its 'illocutionary force' and coercion are power.
B: Community-based — it allows 'identification with a community'.
D, E: Unplanned / non-strategic — fits: the discipline comes from norms, not from a speaker's intent.

Cetking shortcut: In NOT questions on dense passages, map each option to a phrase; the one that belongs to a different subject in the passage (here rhetoric) is the odd one.

Answer: C

Approach: Vocabulary in context.

Solution: "A deeper or primordial ante-deliberation Desire" — the Desire is the original, most basic force behind action. Primordial = existing from the beginning, fundamental. Elemental = basic, fundamental, primary.

Why the other options are wrong:
B: Anarchist — against authority; unrelated.
C: Animalistic — beast-like; primordial is about origin, not animal nature.
D: Nihilistic — rejecting all values; unrelated.
E: Discursive — related to discourse/rambling; unrelated.

Cetking shortcut: 'Deeper or primordial' — the word 'deeper' already tells you it means basic/fundamental.

Answer: A

Approach: Word root — bio = life, -logy = study of.

Solution: Bio-logy = study of life and living organisms.

Why the other options are wrong:
A: Earth — geology.
B: Animals — zoology (only one part of biology).
D: Disease — pathology.
E: Society — sociology.

Cetking shortcut: Break the word: bio + logy.

Answer: C

Approach: Word root — anthropos = human.

Solution: Anthropo-logy = study of humans as a whole: biological, cultural and social.

Why the other options are wrong:
A: Culture — only cultural anthropology.
B: Society — sociology.
D: Behavior — psychology.
E: Fossils — palaeontology.

Cetking shortcut: Anthropo- as in philanthropy (love of humans).

Answer: C

Approach: Word root — archaios = ancient.

Solution: Archaeo-logy = study of the past culture of humans through artefacts, sites and remains.

Why the other options are wrong:
A: Animals — zoology.
B: Earth layers — geology/stratigraphy.
D: Weather — meteorology.
E: Fossils — palaeontology.

Answer: C

Approach: Word root — psyche = mind/soul.

Solution: Psycho-logy = scientific study of the mind and behaviour.

Why the other options are wrong:
A: Brain only — neuroscience; 'only' makes it too narrow.
B: Society — sociology.
C: Culture — anthropology.
E: Emotions only — too narrow.

Cetking shortcut: Reject any option with 'only' in a definition question.

Answer: D

Approach: Word root — geo = earth.

Solution: Geo-logy = study of the Earth, its rocks and physical processes.

Why the other options are wrong:
A: Atmosphere — meteorology.
B: Climate — climatology.
D: Environment — environmental science/ecology.
E: Oceans — oceanography.

Cetking shortcut: Geo- as in geography, geometry (earth-measuring).

Answer: C

Approach: Phrase meaning in context.

Solution: Para 1: "old French Tonic bottles and 'limited edition' cans can often fetch considerable sums from collectors, and there are even stores which deal exclusively in French Tonic products and memorabilia." To 'fetch a sum' = to be sold for that amount. So the phrase means certain cans are worth a lot of money as collectable items — option E. The official MahaCET key marks D, linking the phrase to the very next clause about exclusive stores; the passage, however, speaks of stores selling products and memorabilia, not of collectors drinking there.

Why the other options are wrong:
A: About the price of the drink, not of collectable cans.
B: Collectors paying 'carefully' is not the sense of 'fetch'.
C: Technological innovation/sustainability — unrelated to the passage.
D (official key): The exclusive-stores detail is in the passage, but it is about stores dealing in products and memorabilia, not collectors drinking.

Cetking shortcut: 'Fetch' + money = sell for. Match the option that keeps both 'cans' and 'collectors'.

Answer: D (official MahaCET key; the text-based meaning of the phrase is E)

Approach: Idiom in context.

Solution: Para 3: "cola extract contains caffeine… and the French Tonic company adds extra caffeine for good measure." The idiom means 'in addition, as an extra'. The author stresses that caffeine is already present and more is added — so the drink has a lot of caffeine (and the next lines link this to repeat sales).

Why the other options are wrong:
B: Literal reading of 'measure'; the idiom does not mean careful measurement.
C: Taste is never mentioned.
D: 'Balance' is opposite — extra caffeine adds to, not balances, the natural amount.
E: Health benefit not claimed; the passage says the drink is hardly healthy.

Answer: A

Approach: Tone through word choice.

Solution: "French Tonic has enjoyed phenomenal success worldwide" — phenomenal = extraordinary, remarkable. The author is describing the success as impressive (he even calls it 'amazing success' in para 2).

Why the other options are wrong:
A, C: 'Strange' / 'beyond explanation' — the author goes on to explain it (name, caffeine, marketing).
D, E: No disapproval or 'undeserved' judgement in this sentence.

Answer: B

Approach: Word meaning, confirmed by the next sentences.

Solution: Para 4: "the company's enviable marketing strategies… Few other companies (arguably including P Tonic) have been able to match such marketing ploys." Enviable = arousing envy in others because it is so good. So rivals envy French Tonic's successful marketing.

Why the other options are wrong:
A: Strategies are not 'based on envy'.
B: Staff envying each other — not stated.
C: Customers buying out of envy — not stated.
E: Restates the word without explaining what the author means.

Cetking shortcut: An option that merely repeats the question's word (E) is almost never the 'meaning' answer.

Answer: D

Approach: Inference from the final sentence plus the one before it.

Solution: "French Tonic has somehow come to represent a vision of the United States that much of the rest of the world dreams about and aspires to. Perhaps drinking French Tonic brings people that little bit closer to the dream." The 'dream' is an imagined American way of life that people aspire to — so many people wish for a lifestyle like they imagine Americans have.

Why the other options are wrong:
A: 'Live in America' is too literal and too strong ('most people').
C: Nothing about remembering visits to America.
D: Says nothing about real life in the US.
E: The drink is a route to the dream, not a part of the 'American dream' idea.

Answer: B

Approach: Check each statement against the first sentence.

Solution: "It is difficult to compare countries because various factors such as size, Culture, History, Geography, natural endowments, geopolitics and internal polity come into play."
A (different internal political systems) = internal polity ✔
B (own culture and natural resources) = culture, natural endowments ✔
C (many countries with homogeneous backgrounds) — not stated ✘
So only A and B.

Why the other options are wrong:
A, B alone: each misses one supported statement.
D, E: include C, which is not in the passage.

Answer: C

Approach: Match each statement to the 'lessons from past performance' sentences.

Solution: Para 3: (1) "failure to promote science and technology as strategic tools for empowerment" = C ✔ (2) "absence of mechanisms and motivations in their economic activity to promote dependence on science and technology" = B ✔ (3) "their scientific and technological efforts were not oriented… achievements were not converted into productive forces as they were too far removed from China's immediate economic and social needs" = A ✔. All three are stated.

Why the other options are wrong:
A, B, C, E: each leaves out at least one pitfall the passage lists.

Cetking shortcut: The passage lists three lessons in three consecutive sentences — when three statements map to three sentences, choose 'all three'.

Answer: D

Approach: Match each statement to the 'Chinese vision is therefore aimed at…' sentence.

Solution: "The Chinese vision is therefore aimed at exploiting state-of-art science and technology to enhance the nation's overall power and strength, to improve the people's living standards, … and to effectively control and alleviate pressures brought on by population resources and the environment."
A (augment standard of living) ✔
B (tackle population pressure) ✔
C (use modern technology to harness the nation's power) — paraphrase of the first aim ✔
All three are expected results.

Why the other options are wrong:
A (Only A and B): misses the first aim — using modern S&T for national power.
B, C, E: each leaves out a stated aim.

Cetking shortcut: One sentence lists the aims — tick every option that maps to a clause of that sentence.

Answer: D

Approach: Main idea — the claim repeated across paragraphs.

Solution: Para 2: growth "by relying on advances in science and technology is pivotal". Para 3: S&T "constitute premier productive forces… can propel economic and social development". The whole passage says economic growth needs to be driven by science and technology.

Why the other options are wrong:
A: Population is a pressure to alleviate, not a resource to use.
B, E: Contradict the passage — S&T is the engine of growth.
C: Contradicts the passage — development needs technology upgradation.

Cetking shortcut: Three of the five options deny the S&T–growth link; the passage asserts it — that leaves D.

Answer: D

Approach: Specific detail — last sentence of the passage.

Solution: "…to enable parity in defense, science and technology with the advanced world." Also: "The aim is to bridge an overall gap with the advanced world."

Why the other options are wrong:
A: Agriculture is to be improved ('agricultural production'), not eliminated.
C: The passage emphasises defence technologies — opposite of 'civilian only'.
D: Targets run to 2020 and beyond — long-term, not short-term.
E: There is 'special emphasis on research and development' — opposite.

Answer: B

Approach: Decode the double negative — 'all are not true, except' means pick the one true statement.

Solution: Passage: "Traditional theories of climate change have held that the effects of global warming ought to be magnified at the Poles. Nonetheless… the Antarctic is definitely getting cooler." Antarctica is 'bucking the trend', the 'only one of Earth's seven continents to react differently'. So the effect on Antarctica is on unexpected lines — D is true.

Why the other options are wrong:
A: Theories did not 'fail to calculate' effects; they predicted magnification at the Poles.
B: Antarctic cooling goes against traditional theory.
C: Only the theory claims this; Antarctica is cooling, so not established as true.
E: Direct opposite of D.

Cetking shortcut: D and E are opposites — one of them is the true statement; 'bucking the trend' decides it.

Answer: D

Approach: Specific detail — test each option against the numbers in the passage.

Solution: "while temperatures in every other continent have risen over the past century, Antarctica has become appreciably colder over the past 35 years and continues to cool." Earth: +0.06°C a decade (100 years); Antarctic: −0.7°C a decade. So, compared with the warming Earth, Antarctica has become colder over the last 35 years — B.

Why the other options are wrong:
A: Opposite — Antarctica is cooling.
C: Antarctic 'decade growth' is negative (a fall of 0.7°C a decade).
D: Compares a 1979–1998 figure with a century-long average — not a like-for-like comparison, and the question asks about Antarctica; B is the statement the passage states directly.
E: The Arctic is getting warmer; only the Antarctic is cooling.

Answer: B

Approach: Inference — follow the passage's repeated word 'contradiction'.

Solution: The passage opens with pundits "blowing hot and cold", shows Antarctica cooling against traditional theory, says earlier sea-level estimates "will have to be suitably revised", asks "what is the mystery", and ends with "here's another contradiction" — icebergs breaking away in a cooling South. The inference: it is a matter of great contradiction that we have not understood the full impact of global climatic change — B.

Why the other options are wrong:
A: Too broad — the theories still explain the global warming trend; only Antarctica is the exception.
C: 'Importance' is never in doubt; the gap is in understanding effects.
D: Close, but drops the passage's key idea of contradiction — B states it.
E: The Antarctic cooling, if anything, runs against the warming trend; no 'accentuated threat' is drawn.

Cetking shortcut: When the passage literally uses a word (contradiction) twice, the inference option that carries it is usually the answer.

Answer: B

Approach: NOT/EXCEPT detail — tick off every option the passage mentions.

Solution: Para 2: emissions waft to the North Pole "creating a greenhouse effect, warming the air and loosening the ice sheets"; "complex interplay of ocean currents" changes temperatures; the whole passage is about global warming. Deforestation is not mentioned anywhere.

Why the other options are wrong:
A, B, D, E: each is named in the passage as part of the temperature story.

Cetking shortcut: Outside knowledge is the trap in EXCEPT questions — the unmentioned item is the answer.

Answer: C

Approach: Specific detail.

Solution: "Climatologists are, however, unanimous… the Earth as a whole is becoming warmer — and largely due to increased human activity."

Why the other options are wrong:
A: Hot summers are an effect/symptom, not the cause.
C: Shrinking biodiversity is listed as an observed change, not a cause.
D, E: Narrower subsets; the passage names human activity.

Answer: B

Approach: Spot the error in each option: verb form, idiom, time expression.

Solution: B: "It looks as if it is going to rain this afternoon." — correct linking phrase, correct 'going to + base verb', idiomatic time phrase.

Why the other options are wrong:
A, E: 'looks likes' — wrong verb form after 'it looks'.
C: 'going to raining' — needs base verb 'rain'; also 'today afternoon'.
D: 'today's afternoon' is not idiomatic — 'this afternoon'.

Cetking shortcut: 'Today morning/afternoon/evening' is always wrong — use 'this'.

Answer: B

Approach: Parallelism first, then agreement.

Solution: The two subject parts must be in the same form: "Believing that he is humble and really being humble" — two gerunds, parallel. The pair is presented as one combined quality that makes him likeable, so it takes the singular 'is what makes'. ('Likeable' and 'likable' are both accepted spellings — spelling is not the issue.)

Why the other options are wrong:
A, B, E: 'A belief… and being' mixes a noun with a gerund — not parallel; E also has 'A beliefs'.
D: Parallel, but the plural 'are' clashes with the singular 'makes' in the same clause.

Cetking shortcut: Eliminate non-parallel options first (A, B, E), then choose between C and D on agreement with 'makes'.

Answer: C

Approach: Passive of a reporting verb + that-clause.

Solution: Step 1: People believe → It is believed (tense stays present).
Step 2: the committee will announce the results → the results will be announced by the committee.
Combined: "It is believed that the results will be announced by the committee tomorrow."

Why the other options are wrong:
A: Only half the sentence changes voice.
B: 'The results are believed that…' — ungrammatical structure.
C: 'was believed' — wrong tense (original is present).
E: 'believed to announce' — wrong meaning and form; needs 'to be announced'.

Cetking shortcut: In 'change the voice' questions, the option that converts every active clause usually wins.

Answer: D

Approach: Ambiguous comparison.

Solution: "I can understand my sister better than my mother" has two readings: (i) better than I understand my mother, (ii) better than my mother understands my sister. D removes the doubt: "I can understand my sister better than I can understand my mother."

Why the other options are wrong:
A, B, C: Same ambiguity; B also uses 'more' where 'better' fits 'understand'.
E: 'I can understands' — modal must take base verb.

Cetking shortcut: In comparison questions, prefer the option that repeats the verb to make both sides clear.

Answer: D

Approach: Reported speech — shift tense back and change time words.

Solution: Direct: "Raj had a fall last week and he was injured." Reported after 'She said': had a fall → had had a fall; last week → the previous week; was injured → had been injured. Only D does all three.

Why the other options are wrong:
A: Keeps 'had a fall' and 'last week'.
B: 'he had injured' — no object; needs passive 'had been injured'.
C: Keeps 'last week'; 'was injured' not shifted.
E: 'She saids' — wrong verb form.

Cetking shortcut: Look for 'the previous week / the day before' — options keeping 'last week/yesterday' are out.

Answer: D

Approach: Dangling modifier — who is doing the 'speaking'?

Solution: The subject right after the comma must be the person speaking with the Minister. In B: "While speaking with the Minister, we were informed…" — we were speaking with the Minister. Logical and grammatical.

Why the other options are wrong:
A, D: 'he' is unclear — 'he' (the Minister?) speaking with the Minister; 'In speaking' is also awkward here.
C: The Minister speaking with the Minister — illogical.
E: 'At speaking' is wrong; 'there was any payoffs' — agreement error.

Cetking shortcut: Read the -ing phrase and the first noun after the comma together; if they don't make sense as doer + action, reject.

Answer: B

Approach: Tense consistency.

Solution: 'Intended' sets the time in the past, so the following actions must also be past: "She intended to get married to him, but then she went and broke relations with him."

Why the other options are wrong:
A: intended (past) + goes/breaks (present) — tense clash.
B: intends… goes and breaks — reads as a habitual present; not the completed past event the sentence narrates.
D: intended (past) + will go (future) — illogical.
E: 'will go and breaks' — tense clash and wrong verb form.

Answer: C

Approach: Pronoun case — who (subject) vs whom (object).

Solution: Strip the inserted clause 'do you think': the teacher likes ___ the most. The blank is the object of 'likes' → 'him/her' → whom. A: "Of all the students in the class, whom do you think the teacher likes the most?" — formally correct, with 'the most' for a superlative among many.

Why the other options are wrong:
B, C, D: 'who' used as object of 'likes'.
E: 'who' as object and 'the teachers likes' — agreement error.

Cetking shortcut: He/him test: if the answer would be 'him', use whom.

Answer: A

Approach: Articles with designations + concision.

Solution: When a person is promoted, appointed or elected to a unique post, the title takes no article: "She was promoted in 2009 to General Manager, Systems." D does this cleanly and concisely.

Why the other options are wrong:
A: Grammatical but wordy ('to the position of'); D is the tighter standard form.
B, C: 'a General Manager, Systems post/position' — indefinite article before a unique designation; clumsy.
E: 'She were' — subject–verb agreement error.

Cetking shortcut: With 'promoted to / appointed as / elected', drop the article before a specific title.

Answer: D

Approach: Fixed conjunction pair Hardly… when.

Solution: Structure: Hardly had + subject + past participle … when + simple past. "Hardly had the train arrived when the passengers started boarding."

Why the other options are wrong:
A: Past continuous 'were starting' — not the simple past this structure needs.
C, D: 'than' goes with 'No sooner', not 'Hardly'; D also keeps present 'start'.
E: Past perfect in the second clause — boarding came after arrival, so simple past.

Cetking shortcut: Hardly/Scarcely → when; No sooner → than.

Answer: B

Approach: Synonym — direct vocabulary.

Solution: Stipulation (noun) = a condition laid down as part of an agreement, e.g. 'The contract has a stipulation that payment be made in 30 days.' Closest: requirement.

Why the other options are wrong:
A: imitation — copying.
B: signal — sign.
C: excitement — thrill.
E: dislike — aversion.

Cetking shortcut: Stipulate = specify as a condition → stipulation = requirement.

Answer: D

Approach: Synonym — direct vocabulary.

Solution: Eloquent = expressing ideas fluently and persuasively. Articulate = able to express ideas clearly and effectively.

Why the other options are wrong:
A: elusive — hard to catch.
C: best — superlative, unrelated.
D: meaningful — significant, not about expression.
E: mantle — a cloak/role.

Cetking shortcut: Root 'loqu' = speak (loquacious, soliloquy) → eloquent is about speech.

Answer: B

Approach: Synonym — legal vocabulary.

Solution: Defendant = the person against whom a charge or claim is brought in court → the accused.

Why the other options are wrong:
B: appellant — one who appeals a decision.
C: arrogant — proud.
D: defoliant — chemical that strips leaves (sound-alike trap).
E: pill — tablet.

Answer: A

Approach: Synonym — choose the closest of two near options.

Solution: Abase (verb) = to lower someone in dignity, rank or esteem. Degrade = to lower in rank or dignity — exact match.

Why the other options are wrong:
A: adjourn — postpone.
C: humble — near, but milder and also an adjective; degrade is the direct sense of 'lower in dignity'.
D: pacify — calm.
E: tablet — unrelated noun.

Cetking shortcut: a-base → bring to a 'base' (low) level → degrade.

Answer: B

Approach: Synonym — direct vocabulary.

Solution: Aplomb = self-confidence and calmness in a demanding situation, e.g. 'She handled the press with aplomb.' Closest: composure.

Why the other options are wrong:
B: ribald — vulgar, coarse humour.
C: repose — rest, sleep; not poise under pressure.
D: concern — worry, the opposite feel.
E: cast away — discard.

Answer: A

Approach: Collocation — which noun goes with 'on his character'?

Solution: "This is a slur on his character" — slur = an insinuation or remark that damages someone's reputation. 'A slur on' is the standard collocation.

Why the other options are wrong:
A: table — meaningless here.
B: blue — not a noun that fits.
D: statement — 'a statement on his character' is neutral and unidiomatic; the phrase implies damage.
E: weakness — would be 'in', not 'on', his character.

Cetking shortcut: Slur / slight / reflection / blot + on someone's character.

Answer: C

Approach: Fit the noun to the adjective 'efficient'.

Solution: Efficiency describes functioning/management. "The administration of the state is efficient" — the running of the state is efficient.

Why the other options are wrong:
B, D, E: democracy, autocracy, plutocracy are forms of government, not things judged on efficiency.
C: policy — a policy is judged effective/sound; 'policy of the state is efficient' is unidiomatic.

Answer: A

Approach: Meaning + agreement.

Solution: "The ___ of private limited companies is in the hands of its directors." We need a singular noun meaning 'running/control'. Management fits: control of the company rests with the directors.

Why the other options are wrong:
A, B: plural (managers, administrators) — disagree with 'is'; also people cannot be 'in the hands of' directors in this sense.
D: department — a unit, not control.
E: society — unrelated.

Cetking shortcut: Check the verb: 'is' rules out plural options instantly.

Answer: C

Approach: Meaning + confusable pair adored/adorned.

Solution: Ram is known for his love for his brothers: "Ram, the prince of Ayodhya, adored his siblings" — loved them deeply.

Why the other options are wrong:
A: adorned — decorated; does not fit people as object here.
C: vitiated — spoiled/corrupted.
D: endangered — put at risk.
E: abhorred — hated; opposite tone.

Answer: B

Approach: Meaning + collocation 'adorned with'.

Solution: "The Christmas tree was adorned with stars and other decorative items" — decorated with.

Why the other options are wrong:
B: endowed with — provided with a quality/talent/fund.
C: encased — enclosed in a case.
D: enticed — tempted.
E: encompassed — surrounded/included.

Cetking shortcut: 'Decorative items' in the sentence is the clue — pick the word meaning decorated.

Answer: A

Approach: Idiom meaning.

Solution: Above board = done openly and honestly, with nothing hidden (from card players keeping hands above the table). E.g. 'The deal was completely above board.'

Why the other options are wrong:
A, B: secretive/dishonest — opposites.
D, E: careless/confusing — unrelated.

Answer: C

Approach: Phrasal verb meaning.

Solution: Account for = to give an explanation or reason for something. E.g. 'He could not account for the missing money.'

Why the other options are wrong:
A: Ignore completely — opposite.
B: Take revenge — unrelated.
C: Hide the truth — opposite.
E: Argue loudly — unrelated.

Answer: D

Approach: Idiom meaning.

Solution: All agog = in a state of eager excitement or curiosity. E.g. 'The children were all agog at the circus.'

Why the other options are wrong:
A, E: angry / afraid — wrong emotion.
B, C: bored / calm — opposite of excitement.

Answer: D

Approach: Idiom meaning.

Solution: (Make) one's hair stand on end = to cause great fear, horror or shock. E.g. 'The ghost story made my hair stand on end.'

Why the other options are wrong:
A, B, E: happiness, confidence, pride — positive feelings; wrong.
C: laziness — unrelated.

Answer: D

Approach: Idiom meaning.

Solution: Throw in the towel (from boxing, where a towel thrown into the ring signals surrender) = to give up, admit defeat.

Why the other options are wrong:
B: start a new journey — unrelated.
C: criticise harshly — unrelated.
D: celebrate victory — opposite.
E: hide feelings — unrelated.

Answer: A

Approach: Interleaved series — a +3 series with two odd terms (35, 40) inserted after every two terms.

Solution:
Mark the terms that clearly break the flow: 35 and 40.
Remaining terms: 7, 10, 13, __, 19, 22 → each term is +3.
13 + 3 = 16, and 16 + 3 = 19 confirms it.
Full series: 7, 10, [35], 13, 16, [40], 19, 22 — the inserted terms themselves rise by 5 (35 → 40).

Why the other options are wrong: 18, 23, 31, 28 do not keep the 13 → ? → 19 gap of +3, +3.

Cetking shortcut: When one or two terms are far out of line, strike them out first and read the remaining series.

Answer: A

Approach: Letter-position shift in each slot of a 4-letter group.

Solution:
1st letter: O, Q, S, ?, W → +2 each → U.
2nd letter: L constant.
3rd letter: P, R, T, ?, X → +2 each → V.
4th letter: A constant.
Missing term = U L V A.

Why the other options are wrong: OLPA repeats the first term; KLMA and LLMA move backwards; ULAV swaps the last two letters.

Answer: B

Approach: Analogy — person : quality essential to that person's work.

Solution:
A spy must work in a clandestine (secret) way — secrecy is the defining trait of the job.
An accountant must be meticulous (careful, precise) — precision is the defining trait of that job.

Why the other options are wrong:
B: a furrier need not be rambunctious (noisy, unruly).
C: a lawyer is not defined by being ironic.
D: a shepherd need not be garrulous (talkative).
E: an astronaut is not defined by being opulent (rich).

Answer: A

Approach: Odd one out by meaning.

Solution:
Demonstrate, Illustrate, Exemplify, Exhibit — all mean to show / make visible.
Camouflage means to hide / disguise — the opposite idea.

Why the other options are wrong: A, B, D, E all belong to the 'show' group.

Answer: C

Approach: Build the family tree from the given links.

Solution:
Zara is the mother of Qadira; Chitra and Qadira are sisters → Zara is also Chitra's mother.
Prem is Zara's son → Prem is the brother of Chitra.
Arun is Chitra's son → Prem is the brother of Arun's mother = maternal uncle of Arun.

Why the other options are wrong:
A: Prem is Arun's uncle, not cousin.
C: Qadira is Arun's maternal aunt; Zara is the grandmother.
D: Zara is Chitra's mother.
E: Prem is one generation above Arun, not two.

Answer: B

Approach: Decode each symbol and look for: I is female, I is the child of J's sibling.

Solution: Option D: I × C + N – J
I × C → I is the sister of C (I is female).
C + N → C is the daughter of N → I is also N's child.
N – J → N is the brother of J.
So I is the daughter of J's brother → I is J's niece.

Why the other options are wrong:
A: J – N % C × I → I is N's child, but I's gender is not fixed (could be nephew).
B: I × C – N % J → C is brother of N, N is father of J → I is J's aunt.
C: J + M × C % I → J is M's daughter, M is C's sister, C is I's father → I and J are cousins.
E: N – C % M + I → M is the daughter of I, so I is a parent (C's wife), not a niece of J.

Cetking shortcut: A niece needs a female marker on I — only options starting with 'I ×' (I is sister) qualify; check those first.

Answer: D

Approach: A conclusion must follow from the statement itself — no outside assumptions.

Solution:
Conclusion I: The statement says only that the distance and the fuel bill fall. Total transport cost by sea (ships, ports, handling, time) is not compared with road, so 'sea transport is cheaper' is a broader claim than the data — it does not follow beyond reasonable doubt.
Conclusion II: The statement presents the fuel saving as the whole point of switching to sea transport, so the aim of saving fuel is taken as given → II follows.
Hence only II follows → option (2).

Why the other options are wrong: (1) and (5) need I, which compares total costs the statement never gives; (3) is for complementary pairs; (4) ignores the fuel-saving purpose.

Cetking shortcut: In CET, a conclusion that generalises (‘X is cheaper than Y’) from one specific case is usually rejected.

Answer: B

Approach: Statement–conclusion read in the setter's intended sense: the example is offered to illustrate the rule.

Solution:
Statement: organised people find time for rest; Rutuja, despite a very busy schedule, finds time for rest.
Conclusion I: Rutuja is presented as managing rest in spite of a heavy schedule — the hallmark of the organised person the first line describes → I is taken to follow.
Conclusion II: 'Very busy schedule' directly tells us she works hard → she is industrious → II follows.
Hence both follow → option (5).

Why the other options are wrong: (1) ignores the clear 'very busy schedule' clue for II; (2) ignores the link between the rule and the example; (3) applies only to complementary pairs; (4) rejects both stated clues.

Note: In a pure syllogism question, 'All organised → rest' cannot be reversed; this item is framed as a statement–conclusion, where the intended reading accepts I.

Answer: E

Approach: Split the word into two halves and reverse each half.

Solution:
COMPUTER = COMP | UTER → PMOC | RETU = PMOCRETU ✓
DECIPHER = DECI | PHER → ICED | REHP = ICEDREHP.

Why the other options are wrong: A (ICEDERHP) and E (ICEDPREH) misreverse the second half; B and C use letter shifts that the example does not show.

Cetking shortcut: If the coded word uses exactly the same letters, it is a position code — test 'reverse halves' first.

Answer: D

Approach: Letter → alphabet position; two-digit positions are reduced to their digit sum.

Solution:
HARYANA: H=8, A=1, R=18→1+8=9, Y=25→2+5=7, A=1, N=14→1+4=5, A=1 → 8197151 ✓
DELHI: D=4, E=5, L=12→1+2=3, H=8, I=9 → 45389.

Why the other options are wrong: 32167, 45321, 49723, 42379 do not match D=4, E=5 and the digit-sum rule for L.

Cetking shortcut: D=4, E=5 already leaves only A (45389) and C (45321); I=9 settles it.

Answer: A

Approach: Arrange the number names in increasing value.

Solution:
Hundred (10²) < Thousand (10³) < Million (10⁶) < Billion (10⁹) < Trillion (10¹²)
= 4, 2, 5, 3, 1.

Why the other options are wrong: A, B, E start from Trillion and break the order; C places Billion before Million.

Answer: D

Approach: Read which circles contain the region and which do not.

Solution:
Region 1 lies inside the Honest (yellow), Advocates (green) and Swimmers (olive) circles.
It lies just left of the Europeans (purple) circle — outside it (region 2 is the one inside all four).
So region 1 = honest advocates who are swimmers and NOT European.

Why the other options are wrong:
A: says European and omits advocates.
B: does not exclude Europeans (that covers regions 1 and 2).
D: omits advocates.
E: European advocates who are honest swimmers = region 2.

Cetking shortcut: For any region, list IN-circles and OUT-circles; the right option names both.

Answer: C

Approach: Replace symbols, then apply BODMAS.

Solution:
Rules: × → –, + → ÷, – → ×, ÷ → +.
11 – 2 ÷ 700 + 70 × 50 becomes 11 × 2 + 700 ÷ 70 – 50
= 22 + 10 – 50
= –18.

Why the other options are wrong: 10 / –10 / –32 / –24 come from wrong substitution or from solving left to right without BODMAS.

Cetking shortcut: Rewrite the whole expression first, then compute — never substitute and calculate at the same time.

Answer: C

Approach: Assertion–Reason: check truth of each, then whether R explains A.

Solution:
A: Republic Day is 26 January — true.
R: The Constitution came into force on 26 January 1950, making India a Republic — true.
We celebrate Republic Day on that date precisely because the Constitution came into force then → R explains A.

Why the other options are wrong: B denies the causal link; C, D, E call a true statement false.

Answer: A

Approach: A strong argument is relevant, logical and not based on prejudice.

Solution:
I: 'sons are more intelligent than daughters' — a baseless gender stereotype → weak.
II: 'daughters get married and go away' — a social prejudice, and it does not justify giving less education → weak.
Neither argument is strong.

Why the other options are wrong: A, B, E treat a prejudiced argument as strong; C needs two strong, complementary arguments.

Answer: D

Approach: Decode the speaker's relation step by step.

Solution:
Chandrapal is Neha's father-in-law; his only son Omveer must be Neha's husband.
Priyanka is Omveer's daughter → Chandrapal's granddaughter.
Ruchi is Priyanka's sister → also Omveer's daughter → Chandrapal's granddaughter.

Why the other options are wrong: Niece, daughter, wife, daughter-in-law are the wrong generation or link (Neha is the daughter-in-law).

Answer: E

Approach: Sort the letters alphabetically and compare position by position.

Solution:
Original: C R E A T I O N
Sorted:   A C E I N O R T
Position 3: E = E — the only match.
All other positions differ.

Answer: B

Approach: For each pair, letters between them in the word must equal letters between them in the alphabet (count both forward and backward pairs).

Solution: B(1) E(2) A(3) U(4) T(5) I(6) F(7) Y(8) I(9) N(10) G(11)
E–I: 3 letters between in word (A,U,T), alphabet E→I has F,G,H = 3 ✓
U–T: adjacent in word, adjacent in alphabet (T,U) ✓
U–Y: 3 between in word (T,I,F), alphabet U→Y has V,W,X = 3 ✓
I–G (positions 9, 11): 1 between (N), alphabet G→I has H = 1 ✓
Total = 4 pairs.

Cetking shortcut: Check each letter only against the next 4–5 letters; far-apart pairs rarely match.

Answer: D

Approach: Total in a list = rank from top + rank from bottom – 1.

Solution:
Selected students = 18 + 36 – 1 = 53.
Add those not in the list: 12 (did not opt) + 7 (disqualified) = 19.
Class strength = 53 + 19 = 72.

Why the other options are wrong: 61 / 57 / 65 omit one group or miscount Vinay; 82 adds wrongly.

Answer: B

Approach: Convert both positions to the same end, then take the midpoint.

Solution:
Riya from left = 68 – 17 + 1 = 52.
Smita = 22nd from left.
Middle position = (22 + 52) ÷ 2 = 37.

Why the other options are wrong: 34 is the middle of the whole row; others come from not converting Riya's position.

Answer: C

Approach: Count the digit 4 in the units place and the tens place separately.

Solution:
Units place: 4, 14, 24, …, 94 → 10 times.
Tens place: 40, 41, …, 49 → 10 times (44 counted again here — it has two 4s).
100 has no 4.
Total = 10 + 10 = 20.

Why the other options are wrong: 15 counts tens only partly; 25/32/35 over-count.

Cetking shortcut: For any digit 1–9 in 1 to 100, the count is always 20.

Answer: C

Approach: Each handshake is a pair of people → ⁿC₂.

Solution:
Handshakes = 57 × 56 ÷ 2
= 57 × 28
= 1596.

Answer: A

Approach: Letter positions in the outer triangles add up to the number in the adjoining inner region.

Solution:
Top-left: E(5) + J(10) = 15 ✓
Bottom-left: J(10) + N(14) = 24 ✓
Top-right: E(5) + L(12) = 17 ✓
Bottom-right: ? + C(3) = 29 → ? = 26 = Z.

Why the other options are wrong: M(13), L(12), R(18), Q(17) do not make the total 29.

Cetking shortcut: Number next to two letters in a figure → try the sum of their alphabet positions first.

Answer: C

Approach: Column rule with alphabet positions: row 1 – row 2 = row 3.

Solution:
Column 1: E(5) – A(1) = 4 = D ✓
Column 2: J(10) – C(3) = 7 = G ✓
Column 3: O(15) – B(2) = 13 = M.

Why the other options are wrong: N(14), L(12), T(20), Q(17) do not give 15 – 2.

Answer: A

Approach: Cost of flooring = area × rate; area needs both length and breadth.

Solution:
I: L – B = 5 → one equation.
II: 2(L + B) = 50 → L + B = 25.
I + II: L = 15, B = 10 → area = 150 cm².
III: rate = Rs 1000 per 100 cm² → cost = 150 × 10 = Rs 1500.
All three statements are needed.

Why the other options are wrong: III alone has no area; I + II alone have no rate; any two statements leave one unknown.

Answer: E

Approach: Count unknowns vs independent equations.

Solution:
Let the pieces be x < y < z.
I: y + z = 17.
II: x + y = 15.
Together: 2 equations, 3 unknowns, total length not given.
Check: (7, 8, 9) and (6.6, 8.4, 8.6) both satisfy x + y = 15, y + z = 17, x < y < z — but the shortest piece differs.
Hence even both together are not sufficient.

Why the other options are wrong: A, B, C claim one statement alone works; E claims the pair is enough — it is not.

Answer: D

Approach: Build the tree for six members.

Solution:
Q is the daughter of S and P → S is P's husband.
T is the brother of P's husband → T is S's brother.
U is T's mother → U is also S's mother.
Q is R's granddaughter; the only member left for the grandfather slot is R → R is U's husband, father of S and T.
So R is T's father.

Why the other options are wrong: R is one generation above T, so brother, son and nephew are out; uncle would need R to be a sibling of T's parent.

Answer: C

Approach: Analogy — a type of song : the feeling it expresses.

Solution:
A hymn is a song of praise.
A dirge is a song of grief (a lament for the dead).

Why the other options are wrong:
A: a congregation sings a prayer — performer, not emotion.
B: mammoth is a degree of large.
C: a lullaby is sung to a child — audience, not emotion.
E: a liturgy is a form of rite — type, not emotion.

Answer: D

Approach: Row rule: (1st × 4th) – (2nd + 3rd) = 5th.

Solution:
Row 1: 4 × 2 – (5 + 3) = 8 – 8 = 0 ✓
Row 2: 7 × 4 – (3 + 4) = 28 – 7 = 21 ✓
Row 3: 6 × 5 – (4 + 4) = 30 – 8 = 22 ✓
Row 4: 9 × 5 – (6 + 5) = 45 – 11 = 34.

Cetking shortcut: A 0 in the result column signals equal parts cancelling — look for (product) – (sum) = 0 in that row.

Answer: E

Approach: Fill the blanks so the series becomes a repeating block.

Solution:
Fill with a, a, n, a, n:
ananna | ananna | ananna
= ananna | ananna | ananna — the block 'ananna' repeats three times.

Why the other options are wrong: A has only 4 letters for 5 gaps; C, D, E break the repeating block.

Cetking shortcut: Total length 18 with 5 gaps → try a 6-letter repeating block.

Answer: B

Approach: Order the parts as a reader meets them in a book.

Solution:
Cover comes first; the epilogue is the last part of the text.
Prologue comes before the chapters.
Only option B keeps Cover first, Prologue → Chapter, and Epilogue last: 5, 3, 4, 2, 1 (Cover, Index, Prologue, Chapter, Epilogue) — here 'Index' is read as the contents list at the front.

Why the other options are wrong:
A, C: do not start with the cover.
D: places Epilogue before Chapter.
E: places Chapter before Prologue.

Cetking shortcut: Fix the sure ends (Cover first, Epilogue last) and the sure pair (Prologue before Chapter) — only one option survives.

Answer: B

Approach: Interleaved series — main terms with alternating differences, and a fixed 5 after every two terms.

Solution:
Main terms: 28 → 25 (–3) → 21 (–4) → 18 (–3) → 14 (–4) → next –3 = 11.
Pattern of the series: two main terms, then 5 → 28, 25, 5, 21, 18, 5, 14, 11, 5.

Why the other options are wrong: 10 uses –4 twice in a row; (5, 10) and (11, 8) break the 'two terms then 5' rhythm.

Answer: E

Approach: Track first and second letters separately.

Solution:
First letters: A(1), G(7), M(13), ?, Y(25) → +6 each → S(19).
Second letters: Z(26), T(20), N(14), ?, B(2) → –6 each → H(8).
Missing term = SH.

Why the other options are wrong: HS reverses the pair; PW, ST, RX fail one of the ±6 rules.

Cetking shortcut: Each pair is a letter and its opposite (A–Z, G–T, M–N) — S's opposite is H.

Answer: D

Approach: Track the facing direction after each turn.

Solution:
Walks North 10 m.
Turns left → faces West, walks 25 m.
Turns right → faces North, walks 5 m.
Turns right → faces East, walks 25 m.
He is now facing East.

Answer: A

Approach: Place the birds on a small grid.

Solution:
Pigeon is right of Parrot → Parrot, Pigeon.
Crow is next to Pigeon (on the other side) → Parrot, Pigeon, Crow in one row.
Sparrow is above Parrot; Crane is below Crow.
Pigeon is the middle of the main row and of the whole figure.

Answer: A

Approach: Differences are consecutive squares.

Solution:
107 – 71 = 36 (6²), 71 – 46 = 25 (5²), 46 – 30 = 16 (4²), 30 – 21 = 9 (3²).
So ? → 21 is 2² = 4 → ? = 17, and 16 → 17 is 1² = 1 ✓.

Answer: D

Approach: Sort the numbers, pick the required digits, then divide.

Solution:
Ascending: 253, 467, 535, 738, 883.
Second lowest = 467 → first digit = 4.
Highest = 883 → second digit = 8.
'4 divides 8' → 8 ÷ 4 = 2.

Answer: E

Approach: Decode the known links, then choose the symbol that makes Q a male child of T's sibling.

Solution:
R ÷ S → R is the daughter of S.
S × T → S is the father of T.
So R and T are siblings (R is T's sister).
For Q to be T's nephew, Q must be the son of R → 'Q – R' (Q is son of R).
Q – R ÷ S × T → Q is the son of T's sister → nephew.

Why the other options are wrong:
A (+): Q would be R's wife.
B (×): Q would be R's father.
D (÷): Q would be R's daughter → niece, not nephew.
E: is not a single symbol.

Answer: C

Approach: Turn the statements into an age chain.

Solution:
Raju = 2 × Sharad → Raju > Sharad.
Raju = ½ × Somnath → Somnath = 2 × Raju → Somnath > Raju.
Sharad > Moreshwar.
Chain: Somnath > Raju > Sharad > Moreshwar → Somnath is the eldest.

Answer: C

Approach: Still-water speed needs either a still-water figure or both downstream and upstream data.

Solution:
I: downstream speed = 100 ÷ 10 = 10 km/h = boat + stream; stream speed unknown → not sufficient.
II: in still water, 60 km in 10 h → 6 km/h = 6000 m/h → sufficient.

Why the other options are wrong: A and C trust I alone; D ignores II; E — II needs no help from I.

Answer: B

Approach: Rewrite the series without even numbers, then locate the two markers.

Solution:
Remove 8, 6, 4, 2:
H & 5 T O 9 # V P $ 7 W F * 1 N L ? 3 / C Q U ! A > J
Vowels from the right: A (1st), U (2nd).
Between $ and U: 7 W F * 1 N L ? 3 / C Q → numbers 7, 1, 3.
Product = 7 × 1 × 3 = 21.

Why the other options are wrong: 24/40/32 keep even numbers or use the wrong vowel; 22 is an arithmetic slip.

Answer: C

Approach: Classify each number as even/odd, replace the first letter, then test for real words.

Solution:
CLIP467 (odd) → F → FLIP ✓
SING262 (even) → P → PING ✓
TANK738 (even) → P → PANK ✗
GOAL369 (odd) → F → FOAL ✓
PEAR573 (odd) → F → FEAR ✓
Meaningful words: FLIP, PING, FOAL, FEAR = 4.

Answer: A

Approach: The centre number 5 drives the chain around the outer circles: next = previous × 5 + 1.

Solution: Going clockwise from the right:
3 × 5 + 1 = 16
16 × 5 + 1 = 81
81 × 5 + 1 = 406
406 × 5 + 1 = 2031 → the top circle.

Why the other options are wrong: 1625 and 2120 do not fit ×5 + 1 from 406; 1 and 835 break the growth.

Cetking shortcut: Ratio of consecutive outer numbers ≈ centre number → try ×centre ± small constant.

Answer: A

Approach: Map each option to its positions in the series (X, X+3, X–1).

Solution:
Positions: U=3, 4=4, )=5, 6=6, &=7, Y=9, P=22, 7=23, ~=26, H=27, 9=28, E=31, 1=32, 5=34.
A: 4(4), &(7), U(3) → X, X+3, X–1 ✓
B: 6(6), Y(9), )(5) ✓
C: 7(23), ~(26), P(22) ✓
D: 9(28), E(31), H(27) ✓
E: 1(32), 5(34), E(31) → 2nd element is X+2, not X+3 ✗

Answer: E

Approach: Dictionary order, then count from the right.

Solution:
Sorted: CUB, DEN, EAR, OWL, RAT.
Second from right = OWL.
Third letter of OWL = L.

Answer: D

Approach: Coordinates — North +y, East +x.

Solution:
Start (0, 0). North 20 → (0, 20).
Right → East 30 → (30, 20).
Right → South 35 → (30, –15).
Left → East 15 → (45, –15).
Left → North 15 → (45, 0).
She is 45 m East of the start.

Cetking shortcut: Net N–S: 20 – 35 + 15 = 0; net E–W: 30 + 15 = 45 East.

Answer: D