Miscellaneous Logical Puzzles Questions and Answers

Q: In a standard dice, if number on the top of the dice is 4, what will be the number on the opposite face of the dice?

The opposite face shows 3.On a standard die, opposite faces always add up to 7: 1 is opposite 6, 2 opposite 5, and 3 opposite 4. So when 4 is on top, 3 is on the bottom.1, 2 and 6 are opposite 6, 5 and 1 respectively, and all of those are on the side faces when 4 is on top.

Q: A dice is marked from A to F in different ways. If A is adjacent to B, D and F, then which of the following statements is necessarily true?

The statement that must be true is C is adjacent to E.Each face of a cube touches four others and is opposite one. A touches B, D and F, so its fourth neighbour and its opposite face are C and E in some order. Whichever of C and E is opposite A, the other is one of A's neighbours, and a face opposite A touches all four of A's neighbours. So C and E are always adjacent.'C is opposite E' is therefore impossible. 'B is opposite F' and 'A is adjacent to C' may or may not hold, depending on how the remaining faces are placed.

Q: Consider the following pictures of dice :(The four pictures show the same die. Picture I shows the faces 6, 3 and 2; picture II shows 6, 2 and 4; picture III shows 5, 6 and 4; picture IV shows 1, 4 and 2.)What is the number opposite to 3 ?

The number opposite 3 is 4.Numbers seen together on a picture are adjacent, never opposite.6 is seen with 3, 2, 4 (I, II) and 5 (III), so 6 is opposite 1.2 is seen with 6, 3, 4 (I, II) and 1 (IV), so 2 is opposite 5.The remaining pair, 3 and 4, must be opposite each other. 1 is opposite 6 and 5 opposite 2, and the data are sufficient.A die has three pairs of opposite faces; once two pairs are found, the third is whatever is left.

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41.

In a standard dice, if number on the top of the dice is 4, what will be the number on the opposite face of the dice?

Exam Year(s)

ISRO Assistant - 2023,

Answer: C

The opposite face shows 3.

On a standard die, opposite faces always add up to 7: 1 is opposite 6, 2 opposite 5, and 3 opposite 4. So when 4 is on top, 3 is on the bottom.

1, 2 and 6 are opposite 6, 5 and 1 respectively, and all of those are on the side faces when 4 is on top.

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42.

A dice is marked from A to F in different ways. If A is adjacent to B, D and F, then which of the following statements is necessarily true?

A.C is adjacent to E
B.B is opposite to F
C.A is adjacent to C
D.C is opposite to E

Exam Year(s)

ISRO Assistant - 2023,

Answer: A

The statement that must be true is C is adjacent to E.

Each face of a cube touches four others and is opposite one. A touches B, D and F, so its fourth neighbour and its opposite face are C and E in some order. Whichever of C and E is opposite A, the other is one of A's neighbours, and a face opposite A touches all four of A's neighbours. So C and E are always adjacent.

'C is opposite E' is therefore impossible. 'B is opposite F' and 'A is adjacent to C' may or may not hold, depending on how the remaining faces are placed.

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43.

Consider the following pictures of dice :

(The four pictures show the same die. Picture I shows the faces 6, 3 and 2; picture II shows 6, 2 and 4; picture III shows 5, 6 and 4; picture IV shows 1, 4 and 2.)

What is the number opposite to 3 ?

A.1
B.4
C.5
D.Data Insufficient

Exam Year(s)

Punjab Civil Service - 2025,

Answer: B

The number opposite 3 is 4.

Numbers seen together on a picture are adjacent, never opposite.

6 is seen with 3, 2, 4 (I, II) and 5 (III), so 6 is opposite 1.
2 is seen with 6, 3, 4 (I, II) and 1 (IV), so 2 is opposite 5.

The remaining pair, 3 and 4, must be opposite each other. 1 is opposite 6 and 5 opposite 2, and the data are sufficient.

A die has three pairs of opposite faces; once two pairs are found, the third is whatever is left.

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Miscellaneous Logical Puzzles Questions and Answers

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