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The total value of a collection of coins of denominations Rs. 20, Rs. 10, Rs. 5,…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET June 2024 Re-Exam (26.08.2024) Shift-I
The total value of a collection of coins of denominations Rs. 20, Rs. 10, Rs. 5, Rs. 2 and Rs. 1 is 570. If the number of coins of each denomination is the same, then what is the number of Rs. 1 coins?
A10
B12
C15 ✓ Correct
D18
Correct answer: (C) 15 — The number of Rs. 1 coins is 15, so that is the answer.
Explanation
The number of Rs. 1 coins is 15, so that is the answer.
Let there be n coins of each denomination.
The value of one coin of each denomination is 20 plus 10 plus 5 plus 2 plus 1, which is 38.
So the total value is 38 times n.
Setting 38 times n equal to 570 gives n equal to 15.
So the number of Rs. 1 coins is 15.

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