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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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