28 divided 37744 exactly. Which two numbers nearest to 37744 are exactly divisible by 28?

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37761 and 37777

37716 and 37772

33771 and 37228

31716 and 31234

answer is B.

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Detailed Solution

28 divides 37744 exactly. So the number 37744 is a term in the A.P of which starts with 28 and has a common difference as 28.
Let 37744 be the nth term of the above series, then

So, we have 37744 as 1348th term in the series of multipliers. Now the nearest values to 37744 that can be divisible by 28 are the

term and

term of the AP

So the nearest value to the number 37744 and that can be divisible by 28 are 37716.
Hence, Option (2) is the correct answer.

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