Quant Quiz

Q1)-Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

39, 30

41, 32

42, 33

43, 34

Ans.- C 

Let their marks be (x + 9) and x.
Then, x + 9 =56/100(x + 9 + x)
25(x + 9) = 14(2x + 9)
3x = 99
x = 33

Q2)-If A = x% of y and B = y% of x, then which of the following is true?

A is smaller than B.

A = B

A is greater than B

Relationship between A and B cannot be determined

Ans.- B 

x % of y = ( x/100 x y) = ( y/100 X x ) = y % of y
A = B

Q3)-An inspector rejects 0.08% of the meters as defective, How many meters he examine to reject 2 meteres

1200

2400

1400

2500

Ans.- D 

It means that 0.08% of x = 2
---> ( 8/ ( 100 x 100) X x) = 2
x = 2500

Q4)-In expressing a length of 81.472 km as nearly as possible with the three significant digits, find the percentage error

0.35%

0.34%

0.034%

0.035%

Ans.- C 

Error = (81.5 - 81.472) = 0.028
Required percentage = 0.028/81.472 X 100 = 0.034

Q5)-If 20% of a = b, then b% of 20 is the same as:

10% of a

25% of a

4% of a

None of these

Ans.- C


20% of a = b
=> b = 20/100a
b% of 20 = (b/100)20 = [(20/100a)/100]20
= (20 × 20 × a)/(100 × 100)
= 4a/100 = 4% of a

Q6)-If 15% of 40 is greater than 25% of a number by 2, the number is

14

16

18

20

Ans.- B


15/100 * 40 - 25/100 * x = 2 or x/4 = 4 so x = 16

Q7)-Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?

20

30

40

50

Ans.- C


The fruit content in both the fresh fruit and dry fruit is the same.
Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh fruits is 100kg
Dry fruit has 20% water.so remaining 80% is fruit content.let weight if dry fruit be y kg.
fruit % in freshfruit = fruit% in dryfruit
(32/100) * 100 = (80/100 )* y
we get, y = 40 kg

Q8)-If the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be :

10

20

30

40

Ans.- A


Let the original price be Rs. 100.
New final price = 120 % of (75 % of Rs. 100) = Rs. (120/100 * 75/100 * 100) = Rs. 90.
Decrease = 10%

Q9)-Gaurav spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. If his monthly salary is Rs. 18,400, how much money does he save every month ?

3864

4903

5849

6789

Ans.- A


Saving = 50% of (100 - 40)% of (100 - 30)% of Rs. 18,400
= Rs. (50/100 * 60/100 * 70/100 * 18400) = Rs. 3864.

Q10)-Aaron had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he take along with him?

1500

2000

3000

4500

Ans.- C
let the money he took for shopping be ► m.
Money he spent = 30 % of m
= 30/100 × m
= 3/10 m
Money left with him = m – 3/10 m = (10m – 3m)/10 = 7m/10
But money left with him = $ 2100
Therefore 7m/10 = $ 2100
m = $ 2100× 10/7
m = $ 21000/7
m = $ 3000 Therefore, the money he took for shopping is $ 3000.