Multiple Choice Questions

The average age of a group of students in a class is 15 5 years 15 new students with an average age ...........

Quantitative Aptitude (MTS) Average

The average age of a group of students in a class is 15.5 years. 15 new students with an average age of 14.5 years join the

group, due to which the average age of students in the class becomes 15 years. The number of students initially present in the

class is:

This questions was previously asked in

SSC MTS 13th October 2021 Shift-3

- Let's denote the initial number of students as $x$ .

- The total age of the initial group is $15.5 x$ .

- When 15 new students join, the total number of students becomes $x + 15$ .

- The total age of the 15 new students is $15 \times 14.5 = 217.5$ .

- The new average age of the students is 15.

- Setting the new total age equation: $15.5 x + 217.5 = 15 (x + 15)$ .

- Simplifying the equation:

15.5x + 217.5 = 15x + 225

0.5x = 7.5

x = 15

Option 4: 15 is the correct answer.

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