Searching for "number"

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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Filed Under: Cubes and Dice

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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Filed Under: Cubes and Dice

Q:

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

A) 10 B) 12
C) 14 D) 16
 
Answer & Explanation Answer: C) 14

Explanation:

Part filled in 2 hours = 2/6=1/3

 

Remaining part =1-13=23

 

 (A + B)'s 7 hour's work = 2/3

 

(A + B)'s 1 hour's work = 2/21

 

C's 1 hour's work = { (A + B + C)'s 1 hour's work } - { (A + B)'s 1 hour's work }

 

=1/6-2/21 = 1/14

 

C alone can fill the tank in 14 hours.

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Filed Under: Pipes and Cistern

Q:

Find out the wrong number in the series.

7, 8, 18, 57, 228, 1165, 6996

A) 8 B) 18
C) 57 D) 228
 
Answer & Explanation Answer: D) 228

Explanation:

Let the given numbers be A, B, C, D, E, F, G.

Then, A, A x 1 + 1, B x 2 + 2, C x 3 + 3, D x 4 + 4, E x 5 + 5, F x 6 + 6 are the required numbers.

Clearly, 228 is wrong.

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Filed Under: Odd Man Out

Q:

Insert the missing number.

7, 26, 63, 124, 215, 342, (....)

A) 391 B) 421
C) 481 D) 511
 
Answer & Explanation Answer: D) 511

Explanation:

Numbers are (23 - 1), (33 - 1), (43 - 1), (53 - 1), (63 - 1), (73 - 1) etc.

So, the next number is (83 - 1) = (512 - 1) = 511.

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Filed Under: Odd Man Out

Q:

Insert the missing number.

8, 7, 11, 12, 14, 17, 17, 22, (....)

A) 20 B) 22
C) 24 D) 27
 
Answer & Explanation Answer: A) 20

Explanation:

There are two series (8, 11, 14, 17, 20) and (7, 12, 17, 22) increasing by 3 and 5 respectively.

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Filed Under: Odd Man Out

Q:

Insert the missing number.

2, 4, 12, 48, 240, (....)

A) 960 B) 1440
C) 1080 D) 1920
 
Answer & Explanation Answer: B) 1440

Explanation:

Go on multiplying the given numbers by 2, 3, 4, 5, 6.

So, the correct next number is 1440.

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Filed Under: Odd Man Out

Q:

Find out the wrong number in the given sequence of numbers.

56, 72, 90, 110, 132, 150

A) 72 B) 110
C) 132 D) 150
 
Answer & Explanation Answer: D) 150

Explanation:

The numbers are 7 x 8, 8 x 9, 9 x 10, 10 x 11, 11 x 12, 12 x 13.

So, 150 is wrong.

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Filed Under: Odd Man Out