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Find the least number which when divided by 18, 24, 32 leaves the remainder 4, 10 and 18 respectively.

A) 274
B) 218
C) 284
D) 270

Correct Answer:

A) 274

Description for Correct answer:
18, 24, 32

18-4=14, 24-10=14, 32-18=14

LCM of 18, 24, 32 is 288

\( \Large \frac{18,\ 24,\ 32}{2},\ \frac{9,\ 12,\ 16}{3},\ \frac{3,\ 4,\ 16}{4} = 3,\ 1,\ 4 \)

Required number is 288 - 14 = 274

Part of solved LCM and HCF questions and answers : >> Elementary Mathematics >> LCM and HCF

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