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Q.

Which of the following rational numbers have a terminating decimal expansion?

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a

13507

b

27276

c

126270

d

420240

answer is D.

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Detailed Solution

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A number of the form pq has a terminating decimal expansion if the denominator (q) can be expressed as 2n5m, where m and n are non-negative integers. 

The rational number  420240 can be written as 

420240=2×2×3×5×72×2×2×2×3×5=722×50 

Here, the denominator is of the form 2n5m, where n = 2 and m = 0. 

Thus, 420240 has a terminating decimal expansion.  

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