Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (11.12.2023) Shift-I
Two persons X and Y can do a piece of work in n days. If X alone can complete the work in (n + 3) days and Y alone can do the work in (n + 12) days, find the value of n.
A6 ✓ Correct
B10
C7
D5
Correct answer: (A) 6 — The value of n is 6, so that is the answer.
Explanation
★The value of n is 6, so that is the answer.
★Together X and Y do 1 over n of the work in a day.
★X alone does 1 over n plus 3 and Y alone does 1 over n plus 12 per day.
★So 1 over n equals 1 over n plus 3 plus 1 over n plus 12.
★Simplifying gives n squared equals 36.
★So n equals 6.
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