Aptitude and Reasoning Questions

Q:

Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern ?

A) 85 min B) 95 min
C) 105 min D) 100 min
 
Answer & Explanation Answer: D) 100 min

Explanation:

Work done by the third pipe in 1 min = 1/50 - (1/60 + 1/75) = - 1/100.
[-ve sign means emptying]

The third pipe alone can empty the cistern in 100 min.

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Filed Under: Pipes and Cistern
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7 8835
Q:

14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together.

A) 11/379 B) 21/628
C) 24/625 D) 26/247
 
Answer & Explanation Answer: C) 24/625

Explanation:

Total no of ways = (14 – 1)! = 13!

Number of favorable ways = (12 – 1)! = 11!

 

So, required probability = 11!×3!13! = 39916800×66227020800 = 24625

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Filed Under: Probability
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22 8831
Q:

If logx916 = -12, then the value of x?

A) -3/4 B) 3/4
C) 81/256 D) 256/81
 
Answer & Explanation Answer: D) 256/81

Explanation:
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Filed Under: Logarithms
Exam Prep: Bank Exams
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88 8827
Q:

P, Q, R, S, T and U are six consecutive odd numbers and their average is 52. What is the product of P and U ?

A) 2212 B) 2154
C) 2349 D) 2679
 
Answer & Explanation Answer: D) 2679

Explanation:

Let x, x+2, x+4, x+6, x+8 and x+10 are six consecutive odd numbers.

Given that their average is 52

Then, x + x+2 + x+4 + x+6 + x+8 + x+10 = 52×6

6x + 30 = 312

x = 47

So Product = 47 × 57 = 2679

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Filed Under: Average
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22 8826
Q:

How many A's are there in the following sequence which are immediately followed by B as well as immediately preceded by Z?

 

A M B Z A N A A B Z A B A Z B A P Z A B A Z A B 

A) Three B) Two
C) One D) More than three
 
Answer & Explanation Answer: A) Three

Explanation:

The letter A satisfying the following Structure ZAB

 

A M B Z A N A A B Z A B A Z B A P Z  A B A Z A B 

 

Answer (A) is correct

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Filed Under: Alphabet Test
Exam Prep: AIEEE , Bank Exams , CAT

5 8823
Q:

In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ?

A) Rs. 4680 B) Rs. 4420
C) Rs. 4960 D) Rs. 5480
 
Answer & Explanation Answer: A) Rs. 4680

Explanation:

Let the expenditure on the 95 students be 'x'

Then,

95x + 500 = 120(x – 5)
95x + 500 = 120x - 600
120x - 95x = 1100
25x = 1100
=> x = 44

Therefore, total expenditure of the hostel becomes
95 x 44 + 500 = 4680.

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18 8821
Q:

Which is the third number to the left of the number which is exactly in the middle of the following sequence of numbers?

1  2  3  4  5  6  7  8  9  2  4  6  8  9  7  5  3  1  9  8  7  6  5  4  3  2  1

A) 3 B) 5
C) 4 D) 7
 
Answer & Explanation Answer: C) 4

Explanation:

There are 27 numbers in the given sequence 

So, middle number = 14th number = 9

Clearly, the third number to the left of this 9 is 4

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18 8820
Q:

Consider the following information and answer the questions based on it.

 

Out of the 75 birders, 15 wanted to see only sunbird, 10 wanted to see only flycatcher, 12 wanted to see both sunbird and nuthatch, 15 wanted to see only bee-eater, 13 wanted to see both sunbird and bee-eater, 5 wanted to see both flycatcher and nuthatch and the remaining wanted to see only nuthatch.

 

The ratio of birders who like nuthatch to those who like bee-eaters is

A) 11/14 B) 10/7
C) 11/20 D) 30/8
 
Answer & Explanation Answer: A) 11/14

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

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