Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (29.08.2024) Shift-II
The average age of a group of workers is 42 years. If 8 new workers with an average age of 36 years join, the average becomes 40 years. Find the number of workers initially present in the group.
A17
B16 ✓ Correct
C18
D20
Correct answer: (B) 16 — The initial number is 16, so that is the answer.
Explanation
★The initial number is 16, so that is the answer.
★Let x be the number of initial workers with total age 42x.
★The 8 new workers add 8 times 36, which is 288.
★The new average gives (x plus 8) times 40 equals 42x plus 288.
★This simplifies to 2x equals 32, so x is 16.
★Hence 16 is correct.
Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.
Shared by Mcqkart · via Mcqkart.in