Aptitude and Reasoning Questions

Q:

There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers?

A) 18! x 19! B) 2 x 19!
C) 2 x 18! D) 18! x 18!
 
Answer & Explanation Answer: C) 2 x 18!

Explanation:

fix one person and the brothers B1 P B2 = 2 ways to do so.
other 17 people= 17!

 
Each person out of 18 can be fixed between the two=18, thus, 2 x 17! x 18=2 x 18!

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Q:

Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it?

A) 360 B) 780
C) 720 D) 240
 
Answer & Explanation Answer: C) 720

Explanation:

We have to arrange 6 books.

The number of permutations of n objects is n! = n. (n – 1) . (n – 2) ... 2.1

Here n = 6 and therefore, number of permutations is 6.5.4.3.2.1 = 720

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8 11945
Q:

Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is

A) Rs 200 B) Rs 300
C) Rs 400 D) Rs 500
 
Answer & Explanation Answer: C) Rs 400

Explanation:

Let C = x.
Then B = x/2
and A = x/4

A:B:C = 1:2:4.
C's share Rs.[(4/7)*700) = 400

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Filed Under: Partnership

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Q:

Find the logarithm of 144 to the base 23 :

A) 2 B) 4
C) 8 D) None of these
 
Answer & Explanation Answer: B) 4

Explanation:

log23144 = 4 

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
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55 11928
Q:

Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.

A) 1,2,5 B) 1,2,3
C) 2,3,5 D) 2,3,4
 
Answer & Explanation Answer: A) 1,2,5

Explanation:

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Filed Under: Shape Construction

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Q:

Two numbers are in the ratio 3 : 7. If 6 be added to each of them, then they are in the ratio 5 : 9. Find the numbers ?

A) 11 & 17 B) 7 & 17
C) 9 & 21 D) 13 & 23
 
Answer & Explanation Answer: C) 9 & 21

Explanation:

Let the two numbers be x and y

Given x : y = 3 : 7 .....(1)

Now, x+6 : y+6 = 5 : 9 .....(2)

From (1), x = 3y/7

From (2), 5y - 9x = 24

=> 5y - 9(3y/7) = 24

=> y = 21

=> From(1), x = 9

Hence, the two numbers be 9 and 21

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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36 11920
Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative 

Assertion (A)   :   Most of the Himalayan rivers are perennial. 

Reason (R)      :   They are fed by melting snow. 

A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false. D) A is false but R is true.
 
Answer & Explanation Answer: A) Both A and R are true and R is the correct explanation of A.

Explanation:

Most Himalayan rivers originating in Himalayan peaks are perennial because they are fed by the melting snow throughout the year. 

 

 

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Filed Under: Assertion and Reason

8 11918
Q:

Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is ?

A) 387 kms B) 242 kms
C) 145 kms D) 444 kms
 
Answer & Explanation Answer: D) 444 kms

Explanation:

1h ----- 5 kms
? ------ 60 kms

Time = 12 hrs

Relative Speed = 16 + 21 = 37 kmph

T = 12 hrs

D = S x T = 37 x 12 = 444 kms.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT
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