Quantitative Aptitude

General Questions 2

Quantitative Aptitude Exercise Mode

General Questions 2

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Question 1
A number increased by 137 % and the increment is 33. The number is:

A
27
B
22
C
24
D
25
Correct Answer: Option C

Let the number be x.

Then, 137.5% of x = 33

x = 33 x 100   = 24.
137.5

Question 2
There are 1240 employees in an organisation. Out of which, 25% are promoted. How many such employees are there who got promotion?

A
398
B
345
C
310
D
372
E
None of the above
Correct Answer: Option C

Required number = 1240 x 25   = 310.
100

Question 3
The price of sugar is increased by 25%. If a family wants to keep its expenses on sugar unaltered, then the family will have to reduce the consumption of sugar by:

A
20%
B
21%
C
22%
D
25%
Correct Answer: Option A

Let origin price be ₹100.

Then, increased price = ₹ 125

Reduction in consumption

= 125 - 100 x 100 %
125

= 25 x 100 %  = 20%.
125


Fast Track Method:

Here, a = 25%

According to the formula,

Reduction in consumption

= a x 100 %
100 + a

= 25 x 100 %  = 20%.
125

Question 4
Because of scarcity of rainfall, the price of a land decreases by 12% and its production also decreases by 4%. what is the total effect on revenue?

A
Loss of 16%
B
Gain of 15%
C
Loss of 15.48%
D
Gain of 15.48%
E
Loss of 15.52%
Correct Answer: Option E

Net effect = -12 - 4 + ( -12 )( -4 ) / 100 %

               = (- 16 + 0.48)% = - 15.52%

Question 5
If income of Vandana is 25% more than that of Aarti, then income of Aarti is how much percent less than that of Vandana?

A
18%
B
21%
C
20%
D
24%
E
None of the above
Correct Answer: Option C

Let Aarti's income be ₹ 100.

 Vandana's income = ₹ 125

 Aarti's income is ₹ 25 less than 125.


Reduction in consumption

   = 125 - 100 x 100 %
125

   = 25 x 100 %  = 20%.
125


Fast Track Method:

Here, a = 25%

According to the formula,

Reduction in consumption

   = a x 100 %
100 + a

   = 25 x 100 %  = 20%.
125

Question 6
30% of a 3-digit number is 190.8. What will be 125% of that number?

A
759
B
785
C
795
D
779
E
None of the above
Correct Answer: Option C

Let x be the number.
Then, 30% of x = 190.8

x = 190.8 x 100   = 636.
30

125% of 636 = 125x 636   = 795.
100

Question 7
Income of Suman is first increased by 7% and then it is decreased by 7%. What is the change in her income?

A
0.49% (increase)
B
0.39% (decrease)
C
0.39% (increase)
D
0.49% (decrease)
E
None of the above
Correct Answer: Option D

In such case, there is always decrease.

Given that, a = (common increase or decrease) = 7%

According to the formula,

Decreased percentage = (a)2 / 100%

= (7)2 / 100 % = 0.49%

Question 8
If increasing 20 by P percentage gives the same result as decreasing 60 by P percentage, what is P percentage of 70?

A
50
B
140
C
14
D
35
Correct Answer: Option D

According to the question,

= (100 + P) x 20 = (100 - P) x 60
100 100

(100 + P) = (100 - P) x 3

P + 3P = 300 - 100

 P = (200/4)% = 50%

Then, 50% of 70 = 50 x 70   = 35.
100

Question 9
The prices of two articles are as 3 : 4. If the price of the first article is increased by 10% and that of the second by ₹ 4, one original ratio remains the same. The original price of the second article is :

A
₹ 40
B
₹ 10
C
₹ 30
D
₹ 35
Correct Answer: Option A

Let cost price of two articles be 3x and 4x, respectively.
Then,

Reduction in consumption

= 110% of 3x % = 3/4
4x + 4

1.1x   = 1.
x + 1

1.1x = x + 1

0.1x = 1

x = 10

Thus, cost price of the second article is : 4 x 10 = ₹ 40

Question 10
Last year, there were 610 boys in a school. The number decreased by 20% this year. How many girls are there in the school, if the number of girls is 175% of the total number of boys in the school this year?

A
650
B
900
C
850
D
950
E
None of the above
Correct Answer: Option A

Last year number of boys in school = 610

Number of boys in school this year

      = (610) - (610 x 20/100)

      = (610 - 122) = 488

Number of boys in school this year x 175%

    = 488 x (175/100) = 488 x (7/4)

    = 122 x 7 = 854

Hence, number of girls in school this year in 854.

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