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For what values of x, 2x × 5x ends with 8 or 5 ?A) 10 B) 8 C) 5D) None

Answer»

Correct option is (D) None

\(2^x\times5^x=(2\times5)^x=10^x\)

\(\therefore\) \(2^x\times5^x\) is a multiple of 10.

\(\therefore\) \(2^x\times5^x\) is always ends with digit 0.

Thus, \(2^x\times5^x\) never ends with 8 or 5.

i.e., for no value of \(x,2^x\times5^x\) ends with 8 or 5.

Correct option is D) None



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