Multiple Choice Questions

What is the smallest number which when divided by 9 18 24 leaves a remainder of 5 14 and 20 respecti...........

Math and Mental Ability LCM, HCF

What is the smallest number which when divided by 9, 18, 24 leaves a remainder of 5, 14 and 20 respectively ?

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The common difference between the divisor and the remainder is 4 (9 - 5 = 4, 18 - 14 = 4, 24 - 20 = 4). Now the LCM of 9, 18, and 24 is 72.

Hence, the number = 72 - 4 = 68.

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