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A number when divided by 24 leaves a remainder of 16, when divided by 28 leaves a remainder of 20, and when divided by 15 leaves a remainder of 7. Find the number?

A number when divided by 24 leaves a remainder of 16, when divided by 28 leaves a remainder of 20, and when divided by 15 leaves a remainder of 7. Find the number? Correct Answer 832

Common difference of quotient:

⇒ 24 – 16 = 8

⇒ 28 – 20 = 8

⇒ 15 – 7 = 8

LCM of (24, 28, 15) = 840

∴ Number = 840 – 8 = 832

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