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What is the smallest number that leaves remainder (9) when divided by (28), (42), and (56)?

Answer and explanation

Correct answer: (177)

Step 1: Subtracting (9) makes the number divisible by (28), (42), and (56). Step 2: (28=2^2\times7), (42=2\times3\times7), and (56=2^3\times7), so LCM (=2^3\times3\times7=168). Hence the number is (168+9=177). Step 3: Add the common remainder at the end.

Related tags

Real-NumbersLcmRemainderHcf And Lcm Using Prime FactorisationHcf Lcm Using Prime FactorisationReal NumbersMathematicsClass 10 Mcq

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