## Quantitative Aptitude Questions and Answers With Explanation (Practice set 11)

By Sahil Bansal | Views: 573 Q1:
Find the angle between the hour hand and the minute hand of a clock when the time is 3.25?

A) 47.5 degrees B) 57.5 degrees
C) 45.5 degrees D) 55.5 degrees

Q2:
Insert the missing number.
2, 4, 12, 48, 240, (....)

A) 960 B) 1440
C) 1080 D) 1920

Q3:
If 0.75: x :: 5:8, then x is equal to:

A) 1.12 B) 1.16
C) 1.20 D) 1.30

Q4:
A began a business with Rs. 85,000. He was joined afterward by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3: 1?

A) 4 months B) 5 months
C) 6 months D) 8 months

Q5:
A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary?

A) 10 B) 20
C) 30 D) 40

Q6:
A pupil's marks were wrongly entered as 83 instead of 63. Due to that, the average marks for the class got increased by half. The number of pupils in the class is :

A) 45 B) 40
C) 39 D) 37

Q7:
The compounded ratio of (2 : 3), (6: 11), and (11:2) is

A) 1:2 B) 2:1
C) 11:24 D) 36:121

Q8:
A mixture contains alcohol and water in the ratio of 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.

A) 10 B) 12
C) 15 D) 18

Q9:
The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then their difference is

A) 10 B) 46
C) 70 D) 90

Q10:
If 75% of a number is added to 75, then the result is the number itself. The number is :

A) 100 B) 200
C) 300 D) 400

Explanation:
At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching figure 5 to show 25 mins.
Simultaneously the Hour hand will also rotate for 25 mins. Thus starting from the mark, 3 the hour hand will cover an angle = (25 x 30) / 60 = 12.5°
Hence, Angle between Hour and the Minute hand = ( 60 - 12.5 ) = 47.5°

Explanation:
Go on multiplying the given numbers by 2, 3, 4, 5, 6.
So, the correct next number is 1440.

Explanation:
(x * 5) = (0.75 *8)
X=6/5 = 1.20

Explanation:
Suppose B joined for x months . Then,  ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.
So, B joined for 8 months.

Explanation:
A's Salary  = 40% of B = 40% of (25% of C) = 40/100[(52/100)*100] % of C = 10% of C.

Explanation:
Let there be x pupils in the class.
Total increase in marks = (x * 1/2) = x/2.
x/2 = (83 - 63) => x/2 = 20 => x = 40.

Explanation:
Compounded Ratio:: When we compound two or more ratios with each other through product or multiplication, the result is simply a compound ratio.
Thus, the product of two or more ratios; i.e, ab: cd is a ratio compounded of the simple ratios a:c and b:d.
Required compounded ratio = (2/3 x 6/11 x 11/2) = 2/1.

Explanation:
Let the quantity of alcohol and water be 4x liters and 3x liters respectively
4x/(3x+5) = 4/5
20x = 4(3x+5)
8x = 20
x = 2.5
Quantity of alcohol = (4 x 2.5) litres = 10 litres.

Explanation:
Let the numbers be x and (100-x).
Then,x(100−x)=5*495
=>  x2−100x+2475=0
=>  (x-55) (x-45) = 0
=>  x = 55 or x = 45
The numbers are 45 and 55
Required difference = (55-45) = 10