SSC CGL 2019 PYQ — Question 65

SSC CGL - 4th June 2019 - Shift 2 • Quantitative Aptitude • Q65

The average weight of a certain number of students in a class is 68.5 kg. If 4 new students having weights 72.2 kg, 70.8 kg, 70.3 kg and 66.7 kg join the class, then the average weight of all the students increases by 300 g. The number of students in the class, initially, is:

Show answer & explanation

Correct answer: A

Explanation

Correct Answer is option 1 i.e. 16

Understanding

Application

Let x student were there in the class initially.

Then sum of the weights of x students in class = 68.5x

According to question:

68.5x + 72.2 + 70.8 + 70.3 + 66.7 = 68.8 (x + 4)

⇒ 68.5x + 280 = 68.8x + 275.2

⇒ 0.3x = 4.8

⇒ x = 16