Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (12.07.2022) Shift-II
A total of 15 tricycles and bicycles are to be manufactured. If the total number of wheels available is 40, how many tricycles and bicycles can be manufactured respectively?
A5, 10
B8, 7
C7, 8
D10, 5 ✓ Correct
Correct answer: (D) 10, 5 — The answer is 10 tricycles and 5 bicycles.
Explanation
★The answer is 10 tricycles and 5 bicycles.
★Let the tricycles be x, so the bicycles are 15 minus x.
★Tricycles have three wheels and bicycles two, and the total wheels are 40.
★So 3x plus 2 times 15 minus x equals 40, giving x equal to 10.
★So there are 10 tricycles and 15 minus 10, which is 5, bicycles.
★That matches 10 and 5.
★So the answer is 10 tricycles and 5 bicycles.
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