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Dice – MBA CET questions with solutions

10 questions · CET 2025–2026 · Easy 8 · Medium 2 · Hard 0. Newest paper first. Full papers

Q83MediumCET 2026 · Attempt 2 Slot 2 · Q83
Three different positions [1, 2, and 3] of the same dice are shown in the given figure. Find out the number that lies on the side that is exactly on the opposite side of number 6 of the dice ?
Figure for MBA CET 2026 Attempt 2 Slot 2 question 83
  1. 4
  2. 3
  3. 5
  4. 2
  5. 1
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Answer: A official key

Approach: Dice: find the faces adjacent to 6; the one face never adjacent and not opposite to another is opposite 6.

Solution:
Faces adjacent to 3: 6, 2 (view 1), 5, 6 (view 2), 4, 5 (view 3) ⇒ 2, 4, 5, 6 ⇒ 3 is opposite 1.
Faces adjacent to 6: 3, 2 (view 1), 3, 5 (view 2) ⇒ 2, 3, 5.
Remaining faces for the opposite of 6: 1 or 4. But 1 is already opposite 3.
So 4 is opposite 6.

Why the other options are wrong:
B (3), C (5), D (2): all appear next to 6 in the views.
E (1): 1 is opposite 3, not 6.

Cetking shortcut: Find the opposite of the most frequent face (3 ↔ 1) first; then 6's opposite is the one face left (4).

Answer: A

Q75EasyCET 2026 · Slot 5 · Q75

While playing with an ordinary dice, Maithili gets the number 6 on the face of the dice. What shall be the cube of the number that lies exactly on the opposite side of the face of the dice that Maithili was playing with ?

  1. 8
  2. 27
  3. 64
  4. 1
  5. 125
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Answer: D official key

Approach: Opposite faces of a standard die add up to 7.

Solution:
Opposite of 6 = 7 − 6 = 1.
Cube of 1 = 1³ = 1.

Answer: D

Q95EasyCET 2026 · Slot 4 · Q95
Three forms of the same dice are shown below. In this dice, which digit will be on the surface opposite to the digit 4 ?
Figure for MBA CET 2026 Slot 4 question 95
  1. 5
  2. 1
  3. 2
  4. 3
  5. 6
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Official CET key: A · Cetking's answer: B — see why below

Approach: A number that appears next to 4 on any view cannot be opposite it.

Solution: 4 is on top in all three views.
Neighbours of 4: 3, 6 (view I), 2, 3 (view II), 1, 2 (view III) → 1, 2, 3, 6.
The only number left is 5 → 5 is opposite 4.

Why the other options are wrong: 1, 2, 3 and 6 are all seen next to 4, so none of them can be opposite.

Cetking shortcut: List all neighbours of the given face; the face not listed is the opposite one.

Answer: A

Q96MediumCET 2026 · Slot 4 · Q96
Four forms of a dice are shown below. In this dice which word will be on the surface opposite to the word D?
Figure for MBA CET 2026 Slot 4 question 96
  1. A
  2. E
  3. B
  4. C
  5. F
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Official CET key: A · Cetking's answer: E — see why below

Approach: Find the opposite of C first, then eliminate the neighbours of D.

Solution: Neighbours of C: B, A (I), A, E (II), D, E (III), D, B (IV) → A, B, D, E. So C is opposite F.
Neighbours of D: C, E (III), C, B (IV) → B, C, E.
Left for D: A and F. F is opposite C, so D is opposite A.

Why the other options are wrong: B, C, E are seen next to D; F is opposite C, so it cannot be opposite D.

Cetking shortcut: Fixing one opposite pair first (C–F) often settles the second.

Answer: A

Q89EasyCET 2026 · Slot 1 · Q89
A sheet of paper with numbers as marked in the front and nothing on the reverse is folded into a dice in such a way that the numbers appear on the outside.

Find which of the following pairs of numbers shall surely lie on the two opposite end of each other of the dice so formed ?
Figure for MBA CET 2026 Slot 1 question 89
  1. 3 and 4
  2. 3 and 6
  3. 2 and 4
  4. 1 and 5
  5. 5 and 6
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Answer: D official key

Approach: Dice from a net — faces separated by one face in a straight line are opposite.

Solution:
The column 4–3–6–2 is a straight strip of four faces: 4 is opposite 6 and 3 is opposite 2.
1 is attached to the left of 3, and 5 is attached to the right of 2.
When folded, 1 and 5 end up on the two remaining faces, on opposite sides of the strip.
So 1 and 5 are opposite.

Why the other options are wrong:
A 3 and 4, C 2 and 4: adjacent in the strip.
B 3 and 6, E 5 and 6: adjacent (they share an edge after folding).

Cetking shortcut: In a straight line of faces, alternate faces are opposite; the two side flaps are opposite each other.

Answer: D

Q100EasyCET 2026 · Slot 1 · Q100
Two images of the same dice are shown in the figure below. Find out the number that shall be on the top of the dice when the number 4 is at the bottom of the dice ?
Figure for MBA CET 2026 Slot 1 question 100
  1. 5
  2. 3
  3. 6
  4. 1
  5. 2
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Answer: D official key

Approach: Dice — the face adjacent to all others in the views is opposite the missing number.

Solution:
View 1: 1 is adjacent to 3 and 2.
View 2: 1 is adjacent to 5 and 6.
So 1 is adjacent to 2, 3, 5 and 6 → 1 is opposite 4.
With 4 at the bottom, 1 is on top.

Why the other options are wrong:
A 5, B 3, C 6, E 2: all are adjacent to 1, so they are side faces, not opposite 4.

Cetking shortcut: The common face in both views is adjacent to the four others shown, so it is opposite the unseen number.

Answer: D

Q99EasyCET 2025 · Slot 5 · Q99

A dice is thrown four times and its four different positions are shown below. Find the number on the face opposite the face showing 2

Figure for MBA CET 2025 Slot 5 question 99
  1. 1
  2. 3
  3. 4
  4. 5
  5. 6
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Answer: D

Approach: Dice: faces seen together are adjacent; the face never seen with a number is opposite it.

Solution: Faces adjacent to 2: 6, 4 (fig i), 3, 4 (fig ii), 1, 3 (fig iv) → 1, 3, 4, 6.
The only number never seen with 2 is 5, so 5 is opposite 2.
Check: 3 is seen with 2, 4, 5, 1 → opposite 6; 4 is seen with 6, 2, 3, 5 → opposite 1. All consistent.

Why the other options are wrong:
A 1, B 3, C 4, E 6 – all appear next to 2 in some view.

Cetking shortcut: List neighbours of the asked face; the missing number is the answer.

Answer: D

Q100EasyCET 2025 · Slot 5 · Q100

In a dice a, b, c and d are written on the adjacent faces, in a clockwise order and e and f at the top and bottom. When c is at the top, what will be at the bottom?

Figure for MBA CET 2025 Slot 5 question 100
  1. a
  2. b
  3. d
  4. e
  5. f
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Answer: A

Approach: Dice: four side faces in cyclic order – alternate faces are opposite.

Solution: a, b, c, d are written on the four side faces in clockwise order, with e on top and f at the bottom.
In a cyclic order of four faces, the 1st and 3rd are opposite and the 2nd and 4th are opposite → a opposite c, b opposite d.
So when c is turned to the top, a is at the bottom.

Why the other options are wrong:
B b, C d – adjacent to c.
D e, E f – e and f are opposite each other, both adjacent to c.

Cetking shortcut: Around a cube, every alternate side face is opposite.

Answer: A

Q12EasyCET 2025 · Slot 1 · Q12

Arnav rolls an ordinary dice and gets a 3 on the face of the dice. What shall be the number if the number that is on the side that is exactly opposite to the face of the dice is multiplied by itself four times ?

  1. 12
  2. 81
  3. 256
  4. 1296
  5. 625
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Answer: C

Approach: Standard die: opposite faces sum to 7.

Solution:
Face shown = 3 → opposite face = 7 − 3 = 4.
Four 4s multiplied together: 4 × 4 × 4 × 4 = 256.

Why the other options are wrong:
B 81 = 3⁴ (used the wrong face).
D 1296 = 6⁴, E 625 = 5⁴, A 12 = 3 × 4.

Answer: C

Q93EasyCET 2025 · Slot 1 · Q93

The six faces of a dice have been marked with alphabets A, B, C, D, E and F respectively. This dice is rolled down three times. The three positions are shown as :

Find the alphabet that will lie absolutely opposite A on the dice ?

Figure for MBA CET 2025 Slot 1 question 93
  1. B
  2. E
  3. C
  4. D
  5. F
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Answer: B

Approach: A face's four neighbours are visible across the views; the face never seen with it is opposite.

Solution:
Views: (A, B, C), (D, C, E), (F, E, B).
C is seen with A, B, D, E → C is opposite F.
B is seen with A, C, E, F → B is opposite D.
Remaining pair: A is opposite E.

Why the other options are wrong:
B, C: shown together with A in view (i).
D: opposite B.
F: opposite C.

Cetking shortcut: Find the face that appears in two views (C or B), list its four neighbours – the missing one is its opposite.

Answer: B

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