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UPSC Exam  >  UPSC Test  >  CSAT Preparation  >  Test: Dice- 2 - UPSC MCQ

Dice- 2 - Free MCQ Practice Test with solutions, UPSC


MCQ Practice Test & Solutions: Test: Dice- 2 (10 Questions)

You can prepare effectively for UPSC CSAT Preparation with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Dice- 2". These 10 questions have been designed by the experts with the latest curriculum of UPSC 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Dice- 2 - Question 1
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Directions to Solve

Six dice with upper faces erased are as shows.

The sum of the numbers of dots on the opposite face is 7.

Question -

If the dice (I), (II) and (III) have even number of dots on their bottom faces, then what would be the total number of dots on their top faces?

Detailed Solution: Question 1

No. of dots on the top faces of dice (I), (II) and (III) are 5, 1 and 5 respectively.

Required total = 5 + 1 + 5 = 11

Test: Dice- 2 - Question 2
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Directions to Solve

Six dice with upper faces erased are as shows.

The sum of the numbers of dots on the opposite face is 7.

Question -

If the even numbers of dice have odd number of dots on their top faces and odd numbered dice have even of dots on their bottom faces, then what would be the total number of dots on their top faces?

Detailed Solution: Question 2

No. of dots on the top faces of the dice (II), (IV) and (VI) are 1, 1 and 1 respectively.

No. of dots on the top faces of the dice (I), (III) and (V) are 5, 5 and 3 respectively.

Required total = 5 + 5 + 3 + 1 + 1 + 1 = 16

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Test: Dice- 2 - Question 3
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Directions to Solve

The figure given on the left hand side in each of the following questions is folded to form a box. Choose from the alternatives (1), (2), (3) and (4) the boxes that is similar to the box formed.

Question -

Test: Dice- 2 - Question 4
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Directions to Solve

Six dice with upper faces erased are as shows.

The sum of the numbers of dots on the opposite face is 7.

Question -

If dice (I), (II) and (III) have even number of dots on their bottom faces and the dice (IV), (V) and (VI) have odd number of dots on their top faces, then what would be the difference in the total number of top faces between there two sets?

Detailed Solution: Question 4

No. of faces on the top faces of the dice (I), (II) and (III) are 5, 1 and 5 respectively.

Therefore, Total of these numbers = 5 + 1 + 5 = 11

No. of dots on the top faces of the dice (IV), (V) and (VI) are 1, 3 and 1 respectively.

Therefore, Total of these numbers = 1 + 3 + 1 = 5

Required difference = 11 - 5 = 6

Test: Dice- 2 - Question 5
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Directions to Solve

Six dice with upper faces erased are as shows.

The sum of the numbers of dots on the opposite face is 7.

Question -

If even numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?

Detailed Solution: Question 5

Even numbered dice are: (II), (IV) and (VI)

No. of dots on the top face of (II) dice = 6

No. of dots on the top face of (IV) dice = 6

and No. of dots on the top face of (VI) dice = 6

Therefore Required total = 6 + 6 + 6 = 18

Test: Dice- 2 - Question 6
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Directions to Solve

The figure given on the left hand side in each of the following questions is folded to form a box. Choose from the alternatives (1), (2), (3) and (4) the boxes that is similar to the box formed.

Question -

Detailed Solution: Question 6

The pattern on fig. (X) and also the fact that the faces are rectangle, indicate that only fig. (1) can be obtained by folding fig. (X).

Test: Dice- 2 - Question 7
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Directions to Solve

Six dice with upper faces erased are as shows.

The sum of the numbers of dots on the opposite face is 7.

Question -

If the odd numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?

Detailed Solution: Question 7

Odd numbered dice are : (I), (III) and (V)

No. of dots on the top faces of these dice are 2, 2 and 4 respectively.

Required total = 2 + 2 + 4 = 8

Test: Dice- 2 - Question 8
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Directions to Solve

The figure given on the left hand side in each of the following questions is folded to form a box. Choose from the alternatives (1), (2), (3) and (4) the boxes that is similar to the box formed.

Question -

Test: Dice- 2 - Question 9
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Directions to Solve

The figure given on the left hand side in each of the following questions is folded to form a box. Choose from the alternatives (1), (2), (3) and (4) the boxes that is similar to the box formed.

Question -

Detailed Solution: Question 9

As, shown in figure, these are opposite of each other. Thus, option (2) is correct.

Test: Dice- 2 - Question 10
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Choose a box that is similar to the box formed from the given sheet of paper (X).

Detailed Solution: Question 10

  • When the given sheet depicted in the figure (X) is folded to form a hollow cube, the two half-shaded faces will lie opposite to each other, the face that features a square will lie opposite to one of the two blank faces in the sheet given, and the face with a circle will lie opposite to the other blank face in the sheet.
  • So, the hollow cubes shown in the figure (2) and figure (3) that have two half-shaded faces that are adjacent to each other, is not possible to be made by folding the sheet depicted in the figure (X).
  • Although the hollow cube depicted in the figure (4) has faces that may appear to be adjacent to each other but the hollow cube formed by folding the given sheet in the figure (X) cannot be rotated to form the hollow cube in the figure(4).
  • Therefore, only the hollow cube in figure(1) is possible.

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About this UPSC Practice Test

This test contains 10 MCQs on Dice- 2 with detailed solutions for each question. It is part of the CSAT Preparation course on EduRev, designed to align with the current UPSC syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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