AkshayDavid wrote:

scthakur wrote:

A. 0 and 3/20 - here difference is 0.15

B. 3/20 and 1/5 - here difference is 0.05

C. 1/5 and 1/4 - here difference is 0.05

D. 1/4 and 3/10 - here difference is 0.05

E. 3/10 and 1/2 - here difference is 0.2

Hence, E.

Can you please explain why did you eliminate first four choices?

as per my understanding 0 and 1/2 include these numbers also --> 0.15, 0.05, 0.05, 0.05

please correct me if i am missing something

The question is one of probability. You select a number between 0 and 1/2 at random.

The number is between 0 and 10/20 (for ease of calculations)

Now, wider the desired range of the options, more is the probability that the number will lie in that range.

The probability that the number will lie between 0 and 10/20 is 1 i.e. the number is in this range. The probability that the number will lie between 0 and 9/20 is a little less than 1 since it is quite possible that the number is in this range but there is a small chance that it lies between 9/20 and 10/20 which this range doesn't cover. The probability that the number will lie between 0 and 1/20 is very small since this range covers a small part of the total range.

A. 0 and 3/20 - covers 0 to 3/20 but leaves out 3/20 to 10/20. So in essence, covers only 3 parts out of 10 parts

B. 3/20 and 1/5 - covers 3/20 to 4/20 (= 1/5). So in essence, covers only 1 part out of 10 parts

C. 1/5 and 1/4 - covers 4/20 to 5/20. So in essence, covers only 1 part out of 10 parts

D. 1/4 and 3/10 - covers 5/20 to 6/20. So in essence, covers only 1 part out of 10 parts

E. 3/10 and 1/2 - covers 6/20 to 10/20. So in essence, covers 4 parts out of 10 parts. Since this range is the widest, so the probability of the number lying in this range is the highest.

Answer (E)

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