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Data Sufficiency (LR) – MBA CET questions with solutions

22 questions · CET 2025–2026 · Easy 15 · Medium 7 · Hard 0. Newest paper first. Full papers

Q51EasyCET 2026 · Attempt 2 Slot 2 · Q51

Read the Question shown below and Statement I & II that follow and then choose the most appropriate option that shall help in answering the question so asked :

Question : Find out the code for 'sky' in the code language?

Statement I : In a code language, 'sky is clear' is written as 'de ra fa'.

Statement II: In the same code language, 'make it clear' is written as 'de ga jo'.

  1. The data in Statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  2. The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the qustion.
  3. The data either in Statement I alone or in Statement II alone is / are sufficient to answer the question.
  4. The data given in both Statements I and II together are not sufficient to answer the question.
  5. The data given in both Statements I and II together are necessary to answer the question.
Show answerHide answer

Answer: D official key

Approach: Data Sufficiency in coding: a word's code is fixed only when it is isolated by comparing sentences.

Solution:
Statement I: 'sky is clear' = 'de ra fa'. Three words, three codes, no order given, so 'sky' cannot be fixed.
Statement II alone: 'make it clear' = 'de ga jo'. 'sky' does not even appear, so not sufficient.
Together: the common word 'clear' takes the common code 'de'.
Left in Statement I: 'sky' and 'is' with codes 'ra' and 'fa' → either could be 'sky'.
So even both statements together cannot give the code for 'sky'.

Why the other options are wrong:
A: Statement I alone gives three possible codes for 'sky'.
B: Statement II does not contain 'sky'.
C: Neither statement alone works.
E: Even combined, 'ra'/'fa' remain undecided.

Cetking shortcut: After cancelling common words, if two unknown words still share two codes, the answer is 'not sufficient even together'.

Answer: D

Q52EasyCET 2026 · Attempt 2 Slot 2 · Q52

Is Zamir older than Wahid?

Statement 1: Zamir was born before Shahid, and Shahid is older than Wahid.
Statement 2: Zamir and Wahid have a three-year age difference.

  1. Statement 1 alone is sufficient, but statement 2 is not.
  2. Statement 2 alone is sufficient, but statement 1 is not.
  3. Both statements together are sufficient, but not alone.
  4. Either Statement alone is sufficient.
  5. Both statements are not sufficient.
Show answerHide answer

Answer: A official key

Approach: Data Sufficiency on age comparison: chain the inequalities.

Solution:
Statement 1: Zamir was born before Shahid ⇒ Zamir > Shahid (older).
Shahid is older than Wahid ⇒ Shahid > Wahid.
Chain: Zamir > Shahid > Wahid ⇒ Zamir is older than Wahid. Statement 1 alone answers: YES.
Statement 2: a three-year gap does not say who is older ⇒ not sufficient.

Why the other options are wrong:
B: A 3-year difference has no direction.
C: Statement 1 alone already answers it.
D: Statement 2 alone fails.
E: Statement 1 is sufficient.

Cetking shortcut: 'Born before' = 'older'. A difference without direction never answers 'who is older'.

Answer: A

Q53MediumCET 2026 · Attempt 2 Slot 2 · Q53

Five friends- Aka, Bka, Cka, Dka and Eka are sitting in a row. Among all who is sitting in the middle ?

I. Bka is in between Eka and Cka.
II. Bka is to the right of Eka.
III. Dka is in between Aka and Eka.

Which of the following statement or statements is / are sufficient to answer the question ?

  1. Statement I and II together
  2. Statement II and III together
  3. Statement I and III together
  4. Statement I, II and III together
  5. Data is not sufficient
Show answerHide answer

Answer: D official key

Approach: Linear arrangement DS: build the row from the clues, reading 'between' as 'immediately between'.

Solution:
I: Bka is between Eka and Cka ⇒ block E–B–C (either direction).
II: Bka is to the right of Eka ⇒ the block reads Eka, Bka, Cka from left to right.
III: Dka is between Aka and Eka ⇒ block A–D–E. Eka already has Bka on its right, so Dka is on its left.
All three together: Aka, Dka, Eka, Bka, Cka ⇒ the middle (3rd) person is Eka.

Why the other options are wrong:
A: I + II place only E, B, C; Aka and Dka remain unplaced.
B: II + III do not link Cka to the rest of the row.
C: I + III give the two blocks but not which end of the row is left or right; Statement II fixes that direction.
E: Taken together, the three statements do fix the row.

Answer: D

Q61MediumCET 2026 · Slot 5 · Q61

Given below is one question and three statements I, II and III. You have to decide whether the data given in the statements is sufficient to answer the question.

Choose the correct alternative in each question.

Question : What is Suman's rank from the top in a class of forty students ?

Statements :

I : Suman is 3 ranks below Deepak from the top.

II : Deepak's rank from the bottom is 23.

III : Suman is 3 ranks above Deepak from the bottom.

  1. Any two of the three statements are sufficient to answer the question
  2. Only statements I and II are sufficient to answer the question
  3. Only statements II and III are sufficient to answer the question
  4. All statements I, II and III are required to answer the question
  5. Only statements II and either statement I or III are needed to answer the question
Show answerHide answer

Answer: E official key

Approach: Check what each statement fixes, then test combinations.

Solution:
II: Deepak is 23rd from bottom → from top = 40 − 23 + 1 = 18th.
I + II: Suman is 3 ranks below Deepak → 18 + 3 = 21st from top ✓.
III + II: from the bottom Suman is 3 ranks 'above' Deepak's bottom rank → 23 − 3 = 20th from bottom → 40 − 20 + 1 = 21st from top ✓.
I + III: both only relate Suman to Deepak (the same fact seen from two ends) — no absolute rank ✗.
So II is essential, together with either I or III.

Why the other options are wrong:
A: I + III fails. B/C: each says 'only' one pair, but both pairs work. D: all three are not needed.

Answer: E

Q62MediumCET 2026 · Slot 5 · Q62

Some information, three statements have been given below. Study the statements carefully and answer whether the data given in the statements are sufficient to answer the question or not ?

Information : Six Professors have been assigned to take up lectures in a week, starting from Monday till Saturday, where in one lecture is conducted on each of the six days.

The six Professors are Mandeep, Nitin, Ondrilla, Pankhuri, Yukti and Rati.

Question : How many Professors conduct lectures before Ondrilla ?

Statement I: Pankhuri conducts her lecture at least before three people. Mandeep gave the lecture conducted on Philosophy on Tuesday.

Statement II: Yukti is given the lecture before at least one of the other lecturers. Ondrilla conducted her Physics lecture immediately on the next day as Pankhuri's lecture.

Statement III: A minimum of four lectures were conducted after Nitin's lecture

  1. Data in Statement I alone is sufficient
  2. Data in all Statement I, II & III is sufficient
  3. Data in only Statement II & III is sufficient
  4. Data in only Statement III is sufficient
  5. Data in only Statement I & II is sufficient
Show answerHide answer

Official CET key: E · Cetking's answer: C — see why below

Approach: Six lectures Mon–Sat, one per day; test which statement sets pin Ondrilla's day.

Solution:
I: Pankhuri has at least 3 lectures after her → P on Mon, Tue or Wed; Mandeep is on Tue → P on Mon or Wed.
II: Ondrilla is the day right after Pankhuri.
I + II: if P = Mon, O = Tue — clash with Mandeep. So P = Wed, O = Thu → 3 professors lecture before Ondrilla ✓.
II + III: Nitin on Mon or Tue; the P–O pair can still be Tue–Wed, Wed–Thu, Thu–Fri… → not fixed ✗.
I alone: O unknown ✗. III alone ✗.

Why the other options are wrong:
A, D: one statement cannot place Ondrilla. B: III is not needed. C: II + III leave several positions.

Answer: E

Q63EasyCET 2026 · Slot 5 · Q63

Given below are two statements followed by a question. You have to read the statements carefully and answer the question accordingly :

Statement - I : D train is better than E train, A train and C train but not as good as B train

Statement - II : D train is better than C train but not as good as B which is better than E train

Question :

Which of the five trains, namely, A, B, C, D and E is the best ?

  1. Statement I alone is sufficient to answer the question
  2. Statement II alone is sufficient to answer the question
  3. Statement I alone or Statement II alone are sufficient to answer the question
  4. Both Statement I and Statement II together are not sufficient to answer the question
  5. Both, Statements I and II together are necessary to answer the question
Show answerHide answer

Answer: A official key

Approach: Test each statement alone for the full ranking at the top.

Solution:
I: D is better than E, A and C, but B is better than D → B > D > {A, C, E} → B is the best ✓.
II: D > C, B > D, B > E — nothing about A, so A could beat B ✗.
So I alone is sufficient.

Why the other options are wrong:
B, C: II leaves A unplaced. D, E: I alone already answers.

Answer: A

Q64EasyCET 2026 · Slot 5 · Q64

Given below are two statements followed by a question. You have to read the statements carefully and answer the question accordingly :

Statement - I : Onav correctly remembers that his father's birthday is before 22nd April but after 14thApril

Statement - II : Onav's brother correctly remembers that their father's birthday is after 19th April but before 28th April

Question :

On which date in April is definitely Onav's father's birthday ?

  1. Statement I alone is sufficient to answer the question
  2. Statement II alone is sufficient to answer the question
  3. Statement I alone or Statement II alone are sufficient to answer the question
  4. Both Statement I and Statement II together are not sufficient to answer the question
  5. Both, Statements I and II together are necessary to answer the question
Show answerHide answer

Official CET key: D · Cetking's answer: B — see why below

Approach: Intersect the date ranges.

Solution:
I: after 14 and before 22 April → 15 to 21.
II: after 19 and before 28 April → 20 to 27.
Together: 20 or 21 April — two possible dates.
So even both together cannot fix the birthday.

Why the other options are wrong:
A, B, C: each range alone has several dates. E: the combined range still has 2 dates.

Cetking shortcut: Overlap of (14, 22) and (19, 28) = (19, 22) → integers 20, 21 → not unique.

Answer: D

Q65EasyCET 2026 · Slot 5 · Q65

Given below are two statements followed by a question. You have to read the statements carefully and answer the question accordingly :

Statement - I : Nitin took 2 consecutive right turns after covering a distance of 6m to reach the point X

Statement - II : After walking 4 m early morning from point X, Nitin is now facing the opposite direction of the Sun

Question :

Which direction is Nitin facing at the moment ?

  1. Statement I alone is sufficient to answer the question
  2. Statement II alone is sufficient to answer the question
  3. Statement I alone or Statement II alone are sufficient to answer the question
  4. Both Statement I and Statement II together are not sufficient to answer the question
  5. Both, Statements I and II together are necessary to answer the question
Show answerHide answer

Answer: B official key

Approach: Use the Sun's position in the morning.

Solution:
I: two right turns after 6 m — no starting direction given ✗.
II: early morning the Sun is in the East; facing opposite to the Sun means facing West ✓.
So II alone is sufficient.

Why the other options are wrong:
A, C: I gives no direction. D, E: II alone already answers.

Answer: B

Q62MediumCET 2026 · Slot 4 · Q62

The question below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:

What is the rate of the compound interest?

Statement I: A sum of 1000, amounts to 1331 at the rate of compound interest

Statement II: The amount was invested for the period of three years

Statement III: The simple interest received on that amount in one year is equal to the compound interest received on that amount in the first year.

  1. The data in statements I and III together are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.
  2. The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.
  3. The data in statement I, II and III together are not sufficient to answer the question.
  4. The data in statement only I and II together or only statement III are sufficient.
  5. The data in all the statements I, II and III together are necessary to answer the question.
Show answerHide answer

Official CET key: E · Cetking's answer: B — see why below

Approach: Data sufficiency on compound interest: need principal, amount, time and the compounding period.

Solution: I: P = 1000, A = 1331 → A/P = 1.331 = (1.1)³, but the time and how often interest is compounded are unknown.
II: time = 3 years.
III: SI for one year = CI for the first year. This holds only when interest is compounded annually (with half-yearly or quarterly compounding the first-year CI would exceed SI). So III fixes the compounding period as yearly.
Using I + II + III: (1 + r)³ = 1.331 with annual compounding → r = 10%.
Without III the compounding period is not stated, so all three statements are needed.

Why the other options are wrong: A: without time (II) the power of (1 + r) is unknown. B: without III the compounding frequency is not fixed. C: the three statements together do give 10%. D: III alone gives no numbers.

Cetking shortcut: In CI data sufficiency questions, ask: principal? amount? time? compounding period? A statement that tells you the compounding period is not redundant.

Answer: E

Q63EasyCET 2026 · Slot 4 · Q63

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Is ‘A’ an odd number?

Statement I: When A is multiplied with a number then the product is an even number.

Statement II: When ‘A’ is added with the product of two odd numbers then the number thus obtained is an even number.

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  2. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
  3. Either Statement I or Statement II alone is sufficient to answer the question.
  4. The data in both the statements I and II is not sufficient to answer the question.
  5. The data in both the statements I and II together is necessary to answer the question.
Show answerHide answer

Answer: B official key

Approach: Parity rules: odd × odd = odd; odd + odd = even; even + odd = odd.

Solution: I: A × (some number) = even. If the other number is even, A can be odd or even → not sufficient.
II: odd × odd = odd. A + odd = even → A must be odd → sufficient.
So II alone is sufficient, I alone is not.

Why the other options are wrong: A: I alone cannot decide. C: I is not sufficient. D and E: II alone already answers it.

Cetking shortcut: Any 'product is even' statement with an unknown multiplier is useless for parity.

Answer: B

Q64EasyCET 2026 · Slot 4 · Q64

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

C alone can complete a work in 15 days, then in how many days A, B and C together will complete the work if they start simultaneously?

Statement I: If A and B start simultaneously then they together can complete the work in 5.625 days.

Statement II: B and C start simultaneously then they together can complete the work in 9 days.

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  2. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
  3. Either Statement I or Statement II alone is sufficient to answer the question.
  4. The data in both the statements I and II is not sufficient to answer the question.
  5. The data in both the statements I and II together is necessary to answer the question.
Show answerHide answer

Answer: A official key

Approach: Work rates: A+B+C rate = (A+B) rate + C rate.

Solution: C's rate = 1/15 per day.
I: (A+B) finish in 5.625 = 45/8 days → rate 8/45.
A+B+C rate = 8/45 + 3/45 = 11/45 → 45/11 days → I alone sufficient.
II: B+C finish in 9 days → B = 1/9 − 1/15 = 2/45, but A is unknown → not sufficient.

Why the other options are wrong: B: II gives no information on A. C: II alone fails. D/E: I alone already answers it.

Cetking shortcut: Since C is given, you only need the combined A+B rate – look for the statement that gives it directly.

Answer: A

Q65MediumCET 2026 · Slot 4 · Q65

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

What is the probability of picking three green balls from a bag of 49 balls containing 24 red balls?

Statement I: The number of red balls in the bag is twice the number of blue balls in the bag

Statement II: The number of white balls in the bag is one less than the number of green balls in the bag. There are balls of five different colours in the bag

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  2. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
  3. Either Statement I or Statement II alone is sufficient to answer the question.
  4. The data in both the statements I and II is not sufficient to answer the question.
  5. The data in both the statements I and II together is necessary to answer the question.
Show answerHide answer

Official CET key: D · Cetking's answer: C — see why below

Approach: To find P(3 green), you need the exact number of green balls.

Solution: Total = 49, red = 24.
I: blue = 24/2 = 12 → green unknown.
II: white = green − 1 and there are 5 colours → green unknown.
I + II: red + blue = 36, so green + white + (5th colour) = 13 → 2g − 1 + x = 13 with x unknown (x ≥ 1) → g can be anything from 2 to 6.
Green count is still not fixed → not sufficient even together.

Why the other options are wrong: A, B, C: neither statement alone fixes green. E: even together the 5th colour's count is unknown.

Cetking shortcut: Count the unknowns: after I and II there are still two unknowns (green and the 5th colour) and one equation.

Answer: D

Q25EasyCET 2026 · Slot 3 · Q25

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Question : What is the cost of flooring a rectangular hall ?

Statement I: The difference between the length and breadth of the rectangle is 5 cm.

Statement II: The perimeter of the rectangular hall is 50 cm

Statement III: The cost of flooring 100 cm² area is Rs. 1000.

  1. Either statement III alone or statements I and II together are sufficient.
  2. Only statement III is sufficient.
  3. Only statement I and III is sufficient.
  4. Only statement II is sufficient
  5. Statement I, II, and III together are sufficient.
Show answerHide answer

Answer: E official key

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

Q26MediumCET 2026 · Slot 3 · Q26

Question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

Question : If a rope is cut into three pieces of unequal length, what is the length of the shortest of these pieces of rope?

Statement I : The combined length of the longer two pieces of rope is 17 meters.

Statement II : The combined length of the shorter two pieces of rope is 15 meters.

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  2. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
  3. Either Statement I or Statement II alone is sufficient to answer the question.
  4. The data in both the statements I and II is not sufficient to answer the question.
  5. The data in both the statements I and II together is necessary to answer the question.
Show answerHide answer

Answer: D official key

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

Q40EasyCET 2026 · Slot 3 · Q40

Given below is a question and two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question.

Question : What is the speed (in meters per hour) of a motorboat in still water ?

Statement I: The motorboat covers 100 km downstream in 10 hours.

Statement II: The motorboat covers 60 km in still water in 10 hours.

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  2. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
  3. Either Statement I or Statement II alone is sufficient to answer the question.
  4. The data in both the statements I and II is not sufficient to answer the question.
  5. The data in both the statements I and II together is necessary to answer the question.
Show answerHide answer

Answer: B official key

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

Q52EasyCET 2026 · Slot 3 · Q52

Read the information given below carefully and answer the question that follows :

In a particular college, sixty students were studious. Ten among them were also among the top sport performers. How many top sports performers were in the college ?

Statement A : Sixty percent of the top sports performers were not studious.

Statement B : All the top sports performers were not necessarily studious.

  1. The question can be answered by using the statement A alone but not by using the statement B alone
  2. The question can be answered by using the statement B alone but not by using the statement A alone.
  3. The question can be answered by using either of the statements alone
  4. The question can be answered by using both the statements together but not by either of the statements alone.
  5. The question cannot be answered on the basis of the two statements.
Show answerHide answer

Answer: A official key

Approach: Data sufficiency with overlapping groups (studious ∩ top sports performers).

Solution:
Studious and top sports performer (both) = 10.
Statement A: 60% of top sports performers are NOT studious ⇒ 40% of them are studious.
0.4x = 10 ⇒ x = 25 top sports performers. Sufficient.
Statement B: 'not necessarily studious' gives no number or ratio ⇒ x cannot be found. Not sufficient.
So A alone is sufficient, B alone is not.

Why the other options are wrong:
B/C: B carries no quantity. D: A already answers alone. E: A answers it.

Cetking shortcut: In DS, a statement with no number, ratio or exact relation (like B) is almost always insufficient.

Answer: A

Q53EasyCET 2026 · Slot 3 · Q53

Read the statements given below carefully and answer the question follows:

Statement I: The height of the triangle is 8 cm.

Statement II: The triangle is an isosceles.

Question : What is the area of a triangle ABC of base 12 cm ?
  1. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  2. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
  3. Either Statement I or Statement II alone is sufficient to answer the question.
  4. The data in both the statements I and II is not sufficient to answer the question.
  5. The data in both the statements I and II together is necessary to answer the question.
Show answerHide answer

Answer: A official key

Approach: Area of triangle = ½ × base × height; check which statement gives the height.

Solution:
Base = 12 cm (given).
Statement I: height = 8 cm ⇒ Area = ½ × 12 × 8 = 48 cm². Sufficient.
Statement II: 'isosceles' gives no length, so height is unknown. Not sufficient.
Hence I alone is sufficient, II alone is not.

Why the other options are wrong:
B/C: II gives no measurement. D: I clearly suffices. E: II is not needed.

Cetking shortcut: Base + height = area, for any triangle — the shape type is irrelevant.

Answer: A

Q73EasyCET 2026 · Slot 2 · Q73

The question below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:

Statement :
I. The average age of five family members is 36 years.
II. The total age of Nidhi, Vidhi and Anil is 75 years.
III. The present age of Anil is 12 years more than the age of Ajay.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.
B. The data in statements II and III is sufficient to answer the question, while the data in statement I is not sufficient to answer the question.
C. The data in statements I and II or in statement II and III is sufficient to answer the question.
D. The data in all the statements I, II and III is not sufficient to answer the question.
E. The data in all the statements I, II and III together is necessary to answer the question.

Question : In a family there are 5 members, Nidhi, Vidhi, Nitya, Ajay and Anil. Find the present age of Anil.
  1. A
  2. B
  3. C
  4. D
  5. E
Show answerHide answer

Answer: D official key

Approach: Data sufficiency: count unknowns vs independent equations.

Solution:
Unknowns: Nidhi, Vidhi, Nitya, Ajay, Anil (5).
I: total = 5 × 36 = 180.
II: Nidhi + Vidhi + Anil = 75 → Nitya + Ajay = 180 − 75 = 105.
III: Anil = Ajay + 12.
Combined: we know Nitya + Ajay = 105 and Anil − Ajay = 12, but Ajay (or Nitya) individually is unknown, and II gives Anil only together with Nidhi + Vidhi.
Anil cannot be fixed even with all three statements.

Why the other options are wrong:
A: I gives only the total.
B: II + III leave Nidhi, Vidhi, Ajay unknown.
C: neither pair isolates Anil.
E: even all three together are insufficient.

Cetking shortcut: Three equations for five unknowns, with no equation isolating Anil or Ajay → insufficient immediately.

Answer: D

Q46EasyCET 2025 · Slot 4 · Q46

Analyze the question and decide whether the data given in the statements is sufficient to find an answer or not.

Question: A, B, C, D, and E scored different marks in different exams. From statements given below determine who has secured the last position.

Statement I: D has scored fewer marks than C and E.
Statement II: B has scored more marks than A.

  1. Data in Statement 1 is sufficient alone to determine the answer
  2. Data in Statement 2 is sufficient alone to determine the answer
  3. Data in either of the statements is sufficient to determine the answer
  4. Data provided in both the statements together are not sufficient to determine the answer
  5. None of these
Show answerHide answer

Answer: D

Approach: Data sufficiency — test each statement alone, then together.

Solution:
I: D < C and D < E. Nothing about A and B → last could be D, A or B. Not sufficient.
II: B > A. Nothing about C, D, E → not sufficient.
Together: candidates for last are D (below C, E) and A (below B). D vs A is unknown → not sufficient.

Why the other options are wrong:
A, B, C: neither statement alone settles it.
E: D exactly describes the case.

Cetking shortcut: Two separate chains with no link between them can never decide a single overall last.

Answer: D

Q47MediumCET 2025 · Slot 4 · Q47

Analyze the question and decide whether the data given in the statements is sufficient to find an answer or not.

Question: Four players P, Q, R, and S are playing cards. Who is R's partner in the game?

Statement I: Q is to the right of P and left of S.
Statement II: S is opposite to the P.

  1. Data in Statement 1 is sufficient alone to determine the answer
  2. Data in Statement 2 is sufficient alone to determine the answer
  3. Data in either of the statements is sufficient to determine the answer
  4. Data provided in both the statements together are not sufficient to determine the answer
  5. None of these
Show answerHide answer

Answer: C

Approach: Data sufficiency — test each statement alone, then together.

Solution:
Four players at a card table; partners sit opposite each other.
I: Q is to the right of P and to the left of S → Q sits between P and S, so P and S are opposite each other and R is opposite Q → R's partner is Q. Sufficient.
II: S is opposite P → the other two, Q and R, are opposite each other → R's partner is Q. Sufficient.
Each statement alone answers the question.

Why the other options are wrong:
A, B: each ignores that the other statement also works.
D: both are individually sufficient.
E: C is valid.

Cetking shortcut: With 4 people in pairs, knowing any one opposite pair (or one person's two neighbours) fixes the other pair.

Answer: C

Q48EasyCET 2025 · Slot 4 · Q48

Analyze the question properly and decide whether the data given in the statements is sufficient to find an answer or not.

Question: Parth was born on which date in the month of February 2004?

Statement I: Parth's birthdate is a prime number.
Statement II: Parth was born on the even date of the month.

  1. Data in Statement 1 is sufficient alone to determine the answer
  2. Data in Statement 2 is sufficient alone to determine the answer
  3. Data in either of the statements is sufficient to determine the answer
  4. Data provided in both the statements together are not sufficient to determine the answer
  5. None of these
Show answerHide answer

Answer: E

Approach: Data sufficiency — test each statement alone, then together.

Solution:
I: date is prime → 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 → many possibilities. Not sufficient.
II: date is even → 2, 4, ..., 28 → many. Not sufficient.
Together: even and prime → only 2. Birth date = 2 February 2004.
So both statements together are needed — this choice is not listed among A–D.

Why the other options are wrong:
A, B: each alone leaves many dates.
C: neither alone works.
D: together they are sufficient.

Cetking shortcut: 2 is the only even prime — the moment 'prime' and 'even' meet, the answer is fixed.

Answer: E

Q55EasyCET 2025 · Slot 1 · Q55

In the following question below, 3 statements I, II and III are given. You are required to find out which of the given statement(s) is/are sufficient to answer the question.

Question : How old was Arnav on October 30th 2018 ?

Statement I : Arnav is 6 years older than his sister Ananyaa.

Statement II : Ananyaa is 29 yrs younger than her mother, Deepali.

Statement III : Deepali celebrated her 77th birthday on June 3rd 2018.

Figure for MBA CET 2025 Slot 1 question 55
  1. statement I and II only
  2. statement II and III only
  3. statement I , II , III
  4. statement I and III only
  5. statement III
Show answerHide answer

Answer: C

Approach: Data sufficiency – chain the statements from a known age to Arnav.

Solution:
III: Deepali turned 77 on 3 June 2018 → on 30 Oct 2018 she is 77.
II: Ananyaa is 29 years younger → Ananyaa is 48.
I: Arnav is 6 years older than Ananyaa → Arnav is 54.
Each link is needed: without III there is no absolute age; without II or I the chain breaks.
So all three statements together are required.

Why the other options are wrong:
A (I and II): only relative ages, no anchor.
B (II and III): gives Ananyaa, not Arnav.
D (I and III): no link between Deepali and Ananyaa/Arnav.
E (III alone): only Deepali's age.

Cetking shortcut: In age-chain DS, you need one absolute age plus every link between that person and the target.

Answer: C

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