Aptitude and Reasoning Questions

Q:

The average of a set of whole numbers is 27.2. when the 20% of the elements are eliminated from the set of numbers then the average become 34. The number of elements in the new set of numbers can be :

A) 27 B) 35
C) 52 D) 63
 
Answer & Explanation Answer: C) 52

Explanation:

only (c) is correct since it is divisible by 4.

 

Let the original number of element  be x then the new no.of elements will be 

 

            4x5 = K                               

 

So K must be divisible by 4

 

Since,      x =  Kx5/4

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Filed Under: Percentage
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12 13706
Q:

A can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ?

A) 12 days B) 14 days
C) 13 days D) 16 days
 
Answer & Explanation Answer: C) 13 days

Explanation:

Now, Total work = LCM(16, 8) = 48

A's one day work = + 48/16 = + 3

B's one day work = - 48/8 = -6

Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15

2days B joined with A in working = 2(3 - 6) = - 6

Remaining Work of building wall = 48 - (15 - 6) = 39

Now this remaining work will be done by A in = 39/3 = 13 days.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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23 13704
Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

10 x 4 + 5 - 30 ÷ 6 = 31

A) x and - B) ÷ and -
C) + and ÷ D) - and +
 
Answer & Explanation Answer: A) x and -

Explanation:
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Filed Under: Mathematical Operations
Exam Prep: Bank Exams

6 13693
Q:

The product of a number and its multiplicative inverse is

A) 1 B) 0
C) -1 D) Infinity
 
Answer & Explanation Answer: A) 1

Explanation:

The mutiplicative inverse of a number is nothing but a reciprocal of a number.

Now, the product of a number and its multiplicative inverse is always equal to 1.

 

For example :

Let the number be 15

Multiplicative inverse of 15 = 1/15

The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.

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Filed Under: Numbers
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21 13693
Q:

Library is to Book as Book is to

A) Words B) Pages
C) Binding D) Cover
 
Answer & Explanation Answer: B) Pages

Explanation:

A Library consists of Books in the same way Book consists Pages.

 

Hence, Library : Book :: Book : Pages.

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Filed Under: Analogy
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17 13692
Q:

How many letters are there in the word 'CREATIVE' which have as many letters between them in the word as in the alphabet ? 

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

Explanation:

Letters in the word                   Letters in the alphabet

CRE                                                  CDE

ATIVE                                               ABCDE

TIV                                                   TUV

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Filed Under: Alphabet Test

42 13685
Q:

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

Assertion (A)  : In India, people elect their own representatives.

 Reason (R)    : India is a democracy.

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:

India, being a democracy, it is a government run by the representatives elected by its people 

 

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Filed Under: Assertion and Reason

4 13684
Q:

How much amount Ronnie required to pay for the new car in the buy-back scheme ?

I. The cost of the new car was three times the cost price of his old car. 

II. His old car was valued at Its 25000 under buy-back scheme. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

From both the statements together, we conclude that the price of the new car is Rs (25000 * 3) i.e. Rs 75000

So, Ronnie had to pay Rs (75000 - 25000) i.e. Its 50000.

Thus, both I and II are required 

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Filed Under: Data Sufficiency

5 13682