7. Find the smallest number which when divided by 15, 24 and 36 gives 7 as the remainder. please help
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Step-by-step explanation:
The smallest number divisible by all 24, 36, 54 is:
LCM(24, 36, 54) = 216
Thus, to get 5 as remainder, we need to add 5 to 216 (as 216 is the smallest number which gives remainder 0 when divided by 24 or 36 or 54)
216 + 5 = 221
For 12, 221 gives 18 as quotient and 5 as remainder
For 36, 221 gives 6 as quotient and 5 as remainder
For 54, 221 gives 4 as quotient and 5 as remainder
Hence, 221 is required number.
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