Aptitude and Reasoning Questions

Q:

The average age of 8 men is increased by 4 years when one of them whose age is 30 years is replaced by a new man. What is the age of new man?

A) 55 Years B) 62 Years
C) 42 Years D) 69 Years
 
Answer & Explanation Answer: B) 62 Years

Explanation:

Let the average of 8 men be x. Age of new man be N.
Total age of 8 men = 8x
⇒ x + 4 = ((8x – 30) + N)/8
⇒ 8x + 32 = 8x – 30 + N
⇒ N = 32 + 30
⇒ N = 62

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Q:

Two items A and B have equal cost price. Item A is sold at 40% profit and item B is sold at an amount 20% less than the selling price of item A. If the total profit is 156 Rs then find the cost price of A.

A) Rs. 300 B) Rs. 350
C) Rs. 400 D) Rs. 450
 
Answer & Explanation Answer: A) Rs. 300

Explanation:

Let the cost price of A as well as B is 100 Rs.
Then, ATQ:
Selling Price of A = 100+40 = 140
And Selling Price of B = 140 - (140*0.2) = 140 - 28 = 112
Total selling price = 140+112 = 252 Rs.
Total Cost price = Rs. 200
So by taking cost price = 100 Rs.
Total profit = 52 Rs.
Total profit will be Rs. 156 when cost price = (100/52)*156 = Rs. 300.

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Filed Under: Profit and Loss
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Q:

9 tens 10 ones equals

A) 910 B) 90
C) 91 D) 100
 
Answer & Explanation Answer: D) 100

Explanation:

9 tens 10 ones equals

=> 9 x 10 + 10 x 1

=> 90 + 10

=> 100.

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Q:

Karthik incurred a loss of 40 percent on selling an article for Rs. 5,640. At what price should he have sold the item to have profit of 25%?

A) Rs. 11750 B) Rs. 12550
C) Rs. 13650 D) Rs. 11550
 
Answer & Explanation Answer: A) Rs. 11750

Explanation:

From the given data,

The cost price of the article = 5640 x 100/60 = Rs. 9400

The selling price of the article to gain 25% profit = 9400 x 125/100 = Rs. 11750.

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Q:

A committee of 4 people is to be formed from a group of 9 people.How many possible committees can be formed?

A) 120 B) 162
C) 126 D) 170
 
Answer & Explanation Answer: C) 126

Explanation:

This question is a combination since order is not important.

 

Answer = 7C3 = 126

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Q:

The difference between the compound interest and the simple interest on Rs. 6250 at 8% per annum in 2 years is

A) Rs.30 B) Rs.40
C) Rs.50 D) Rs.60
 
Answer & Explanation Answer: B) Rs.40

Explanation:
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Q:

Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ?

A) 991/16 % B) 900/19 %
C) 874/13 % D) 719/17 %
 
Answer & Explanation Answer: B) 900/19 %

Explanation:

First ten odd numbers form an arithmetic progression of the form
1,3,5,7,9......
here a = first term = 1
d = common difference = 2
Average of first n numbers = (2a + (n - 1)d)/2
n th term of the AP = a + (n - 1)d
Substituting a = 1, d = 2 and n = 10 in the above formulas
average of first 10 numbers = 10
10 th term of the AP = 19
Therefore average of first 10 terms is 19 - 10 = 9 greater than
the last term. Hence the average is greater than the sum by
9/19 X 100 = 900/19 %

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Q:

The average of the ages of Sushanth, Krish and Rishi is 43 years and the average of the ages of Sushanth, Rishi and Rohit is 49 years. If Rohit is 54 years old, what is Krish's age ?

A) 34 years B) 26 years
C) 24 years D) 36 years
 
Answer & Explanation Answer: D) 36 years

Explanation:

Let present ages of Sushanth = w, Krish = x, Rishi = y and Rohit = z , then
w + x + y = 43 x 3 = 129 ---(i) and
w + y + z = 49 x 3 = 147 ---(ii)
Subtracting (i) from (ii), (w+y+z) - (w+x+y) = 147 - 129 , z - x = 18 ---(iii)
Given Rohit's age=z=54, so from (iii), x = 54 - 18 = 36.
Therefore, Krish age is 36 years.

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