Aptitude and Reasoning Questions

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
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Job Role: Bank PO

88 8824
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 8823
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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22 8820
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 8819
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 8811
Q:

If the letters of the word VERMA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word VERMA is :

A) 108 B) 117
C) 810 D) 180
 
Answer & Explanation Answer: A) 108

Explanation:

The number of words beign with A is 4! 

The number of words beign with E is 4! 

The number of words beign with M is 4! 

The number of words beign with R is 4!

 

Number of words beign with VA is 3! 

Words beign with VE are VEAMR 

VEARM

VEMAR

VEMRA

VERAM

VERMA 

Therefore, The Rank of the word VERMA = 4 x 4! + 3! + 6 = 96 + 6 + 6 =108             

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Filed Under: Permutations and Combinations
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4 8809
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 8809
Q:

Choose the correct alternative that will continue the same pattern and replace 'x' in given series 1,2,6,15,31,56,x

A) 65 B) 78
C) 81 D) 92
 
Answer & Explanation Answer: D) 92

Explanation:

The pattern is + 1*1,+ 2*2, +3*3, + 4*4,+ 5*5,+ 6*6, . . . . . . .
So missing term is 56+36=92

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Filed Under: Number Series

12 8794