Aptitude and Reasoning Questions

Q:

A Group consists of 4 couples in which each of the  4 persons have one wife each. In how many ways could they be arranged in a straight line such that the men and women occupy alternate positions?

A) 1152 B) 1278
C) 1296 D) None of these
 
Answer & Explanation Answer: A) 1152

Explanation:

Case I :  MW  MW  MW  MW

 

Case II:  WM  WM  WM  WM

 

Let us arrange 4 men in 4! ways, then we arrange 4 women in 4P4 ways at 4 places either left of the men or right of the men. Hence required number of arrangements

 

   4! × 4P4  + 4! × 4P4  = 2 × 576 = 1152

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Filed Under: Permutations and Combinations
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4 11020
Q:

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

Assertion(A) :  A little gap is left between iron rails. 

Reason (R)   :  Iron expands in summer. 

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:

Iron expands in summer. So, gaps are left between rails to allow for expansion. 

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Filed Under: Assertion and Reason

6 11016
Q:

Raghu earns 25% on an investment but loses 10% on another investment. If the ratio of the two investment is 3:5. What is the gain or loss on two investments taken together ?

A) 1.251 % B) 3.125 %
C) 7.21 % D) 9.451 %
 
Answer & Explanation Answer: B) 3.125 %

Explanation:

Taking the 2 investments to be 3x and 5x respectively
Total income of Raghu = (3x) x 1.25 + (5x) x 0.9 = 8.25
Therefore, Gain% = 0.25/8 x 100 = 3.125 %.

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Filed Under: Profit and Loss
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11 11013
Q:

Should India create a huge oil reserve inorder to face some difficult situations in future 

Arguments:

1. No. There is no need to block huge amounts of foreign exchange and keep the money die

2. Yes. This will keep India withstand shocks of sudden rise in oilprices due to un forseen circumstances

A) Only 1 is true B) Only 2 is true
C) Either 1 or 2 is true D) Neither 1 nor 2 is true
 
Answer & Explanation Answer: B) Only 2 is true

Explanation:

Oil being an essential commodity ,our country must keep it in reserve.So argument 1 is vague,while argument 2 holds as it provides a substancial reason for the same

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2 11010
Q:

If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area?

A) 41% B) 38%
C) 33% D) 44%
 
Answer & Explanation Answer: B) 38%

Explanation:

% Change in Curved Surface Area is given by 

%Change in radius + %Change in height + %Change in radius × %Change in height 100  

+20 + 15 + 20×15100 = 38%

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Filed Under: Volume and Surface Area
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20 11007
Q:

A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number ? 

A) 2 B) 4
C) 6 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:

Let the number be v. Then, 3 (2x + 9) = 75.

 2x + 9 = 25

=> 2x = 16

=> x = 8

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Filed Under: Problems on Numbers

3 11005
Q:

An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is

A) 4.04% B) 5.04%
C) 6.04% D) 7.04%
 
Answer & Explanation Answer: A) 4.04%

Explanation:

100 cm is read as 102 cm

 

a = 100 x 100 sq.cm and b = 102 x 102 sq.cm

 

then, Increase in area = [ (102 x 102) - (100 x 100) ] sq.cm

 

percentage error =404100*100*100= 4.04%

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

3 11002
Q:

5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers?

A) 102 & 6 B) 99 & 3
C) 104 & 8 D) 100 & 4
 
Answer & Explanation Answer: D) 100 & 4

Explanation:

Let the first number be x and the second number be y.

Given

5% of x = (25% of y) + y

=> 5x/100 = 5y/4

=> x = 25y ......(1)

and also given that, x - y = 96

=> x = 96 + y .....(2)

From (1)&(2)

25y = 96 + y

=> 24y = 96

=> y = 4

From (1)

x = 96 + 4 = 100

Hence, the numbers are 100 & 4.

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Filed Under: Percentage
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15 10996