Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (14.12.2023) Shift-I
The sum of three numbers is 124. If the ratio between the first and the second is 2:3 and between the second and the third is 7:9, then the third number is:
A48
B54 ✓ Correct
C64
D66
Correct answer: (B) 54 — The third number is 54, so that is the answer.
Explanation
★The third number is 54, so that is the answer.
★The first to second ratio is 2:3 and second to third is 7:9.
★Making the common term equal, the combined ratio becomes 14:21:27.
★Let the numbers be 14x, 21x and 27x.
★Their sum 62x equals 124, so x equals 2.
★The third number is 27 times 2, which is 54.
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