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The value of the expression 10.25+20.125+40.0625−10.5−10.05\frac1{0.25} + \frac2{0.125} + \frac4{0.0625} - \frac1{0.5} - \frac1{0.05}0.251​+0.125
Question

The value of the expression 10.25+20.125+40.062510.510.05\frac1{0.25} + \frac2{0.125} + \frac4{0.0625} - \frac1{0.5} - \frac1{0.05}​ is ___________.

A.

60

B.

68

C.

64

D.

62

Correct option is D

Given: 

10.25+20.125+40.062510.510.05\frac1{0.25} + \frac2{0.125} + \frac4{0.0625} - \frac1{0.5} - \frac1{0.05} 

Solution: 

10.25+20.125+40.062510.510.05 =10025+2000125+400006251051005 =4+16+64220 =62\frac1{0.25} + \frac2{0.125} + \frac4{0.0625} - \frac1{0.5} - \frac1{0.05} \\ \ \\ = \frac{100}{25} + \frac{2000}{125} + \frac{40000}{625} - \frac{10}{5} - \frac{100}{5}\\ \ \\ = 4 +16 + 64 - 2 -20\\ \ \\ = 62​​

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