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Q:

Choose the box that is similar to the box formed from the given sheet of paper (A).

111484628842.png image

      (A)

1111484628875.png image

A) Option 1,2 and 3 B) Option 1,3 and 4
C) Option 2 and 3 D) Option 2,3 and 4

Answer:   B) Option 1,3 and 4



Explanation:

When the sheet in fig. (A) is folded, then one of the faces of the cube formed will be of the form 14-11484629084.png image  and this face will lie opposite the face bearing a square. Also, one of the blank faces lies opposite another blank face and the third blank face lies opposite the face bearing an '=' sign. Clearly, all the three blank faces cannot appear adjacent to each other. So, the cube shown in fig. (2) which has all the three blank faces adjacent to each other cannot be formed. Hence, only the cubes shown in figures A, C and D can be formed.

Subject: Cubes and Dice
Exam Prep: Bank Exams
Job Role: Bank Clerk
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A dice is numbered from 1 to 6 in different ways.

If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?

A) 2 is opposite to 6 B) 1 is adjacent to 3
C) 3 is adjacent to 5 D) 3 is opposite to 5
 
Answer & Explanation Answer: C) 3 is adjacent to 5

Explanation:

If 1 is adjacent to 2, 4 and 6 then either 3 or 5 lies opposite to 1. So, the numbers 3 and 5 cannot lie opposite to each other. Hence, 3 is adjacent to 5 (necessarily).

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Q:

Four usual dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13 as the top faces showed 4, 3, 1 and 5 respectively. What is the total of the faces touching the ground?

A) 12 B) 13
C) 15 D) Cannot be determined
 
Answer & Explanation Answer: C) 15

Explanation:

In a usual dice, the sum of the numbers on any two opposite faces is always 7. Thus, 1 is opposite 6, 2 is opposite 5 and 3 is opposite 4.

 

Consequently, when 4, 3, 1 and 5 are the numbers on the top faces, then 3, 4, 6 and 2 respectively are the numbers on the face touching the ground. The total of these numbers = 3 + 4 + 6 + 2 = 15.

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126 14577
Q:

A cube has six different symbols drawn over its six faces. The symbols are dot, circle, triangle, square, cross and arrow. Three different positions of the cube are shown in figures X, Y, and Z.

Which symbol is opposite the dot?

A) Circle B) Triangle
C) Arrow D) Cross
 
Answer & Explanation Answer: D) Cross

Explanation:

From figures X and Y, we conclude that dot, circle, square and cross lie adjacent to the triangle. Therefore, the arrow must lie opposite the triangle. From figures X and Z, we conclude that dot, triangle, arrow and cross lie adjacent to the circle. Therefore, the square must lie opposite the circle. Thus, the arrow lies opposite the triangle, the square lies opposite the circle and consequently, the cross lies opposite the dot.

 

As analysed above, the cross lies opposite the dot.

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71 8108
Q:

Three different positions X, Y and Z of a dice are shown in the figures given below. Which number lies opposite 6?

A) 1 B) 2
C) 4 D) 5
 
Answer & Explanation Answer: A) 1

Explanation:

From positions X and Y we conclude that 1, 5, 6 and 3 lie adjacent to 4. Therefore, 2 must lie opposite 4. From positions Y and Z we conclude that 4, 3, 2 and 5 lie adjacent to 6. Therefore, 1 must lie opposite 6. Thus, 2 lies opposite 4, 1 lies opposite 6 and consequently 5 lies opposite 3.

 

As analysed above, 1 lies opposite 6.

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Q:

A dice is numbered from 1 to 6 in different ways.

If 1 is opposite to 5 and 2 is opposite to 3, then

A) 4 is adjacent to 3 and 6 B) 2 is adjacent to 4 and 6
C) 4 is adjacent to 5 and 6 D) 6 is adjacent to 3 and 4
 
Answer & Explanation Answer: B) 2 is adjacent to 4 and 6

Explanation:

If 1 is opposite to 5 and 2 is opposite to 3, then 4 definitely lies opposite to 6. Therefore, 2 cannot lie opposite to any of the two numbers - 4 or 6. Hence, 2 necessarily lies adjacent to both 4 and 6.

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36 13395
Q:

Two positions of a block are shown below: When six is at the bottom, what number will be at the top?

A) 1 B) 2
C) 4 D) 5
 
Answer & Explanation Answer: D) 5

Explanation:

From figures (i) and (ii) we conclude that the number 1, 2, 3 and 4 appear adjacent to 6. Thus, the number 5 will appear opposite 6. Therefore, when six is at the bottom, then 5 will be at the top.

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47 7783
Q:

What will be the number at the bottom, if 5 is at the top; the two positions of the dice being as given below:

A) 1 B) 2
C) 3 D) 6
 
Answer & Explanation Answer: B) 2

Explanation:

From figures (i) and (ii), it is clear that 4, 1, 3 and 6 he adjacent to 2. Therefore, 5 must lie opposite 2. Thus, if 5 is at the top, then 2 must be at the bottom.

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68 11264
Q:

A dice is numbered from 1 to 6 in different ways.

If 1 is adjacent to 2, 3 and 5, then which of the following statements is necessarily true?

A) 4 is adjacent to 6 B) 2 is adjacent to 5
C) 1 is adjacent to 6 D) 1 is adjacent to 4
 
Answer & Explanation Answer: A) 4 is adjacent to 6

Explanation:

If 1 is adjacent to 2, 3 and 5, then either 4 or 6 lies opposite to 1. So, the numbers 4 and 6 cannot lie opposite to each other. Hence, 4 necessarily lies adjacent to 6.

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