CTET PAPER I 2019 · PYQ · LCM Application · medium
Three brands of pens A, B and C are available in packets of 10, 12 and 24 respectively. If a shopkeeper wants to buy equal number of pens of each brand, what is the minimum number of packets of each brand, he should buy?
A.A = 10, B = 12, C = 5
B.A = 5, B = 12, C = 10
C.A = 10, B = 5, C = 12
D.A = 12, B = 10, C = 5✓ Correct
Explanation
To buy equal numbers of each brand, we need to find the LCM of 10, 12, and 24. LCM(10, 12, 24) = 120. So the shopkeeper needs 120 pens of each brand. Number of packets needed: For A (10 per packet): 120/10 = 12 packets. For B (12 per packet): 120/12 = 10 packets. For C (24 per packet): 120/24 = 5 packets. So A = 12, B = 10, C = 5.
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