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vp101
I guess the easiest way to answer this is -

Say you have two positive integers, x and y where y > x

Then the number of integers between x and y is given by - (y - x) + 1

In this case, it's (107 - 51) + 1. Option D

No offences but the methods of using formulas need to be avoided as much as possible and this formula is totally unnecessary for everyone to know.

Learning the basic always helps in GMAT...
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Bunuel
How many integers are there between 51 and 107, inclusive?

A. 51
B. 55
C. 56
D. 57
E. 58

Apply the formula for number of items in an arithmetic progression 51-107 inclusive is an arithmetic progression: 51 - 107 increasing by 1

107-51 /1 + 1 =
56 +1 =57
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Bunuel
How many integers are there between 51 and 107, inclusive?

A. 51
B. 55
C. 56
D. 57
E. 58

\(107 - 51 + 1\) = \(57\)

Answer will be (D)
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Bunuel
How many integers are there between 51 and 107, inclusive?

A. 51
B. 55
C. 56
D. 57
E. 58

When we are including both the first number and the last number, we must add 1 to their difference. Thus, the number of integers between 51 and 107, inclusive, is 107 - 51 + 1 = 57.

Answer: D
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