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# How many integers are there between 51 and 107, inclusive?

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How many integers are there between 51 and 107, inclusive?  [#permalink]

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25 Mar 2016, 03:47
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91% (00:20) correct 9% (00:20) wrong based on 154 sessions

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How many integers are there between 51 and 107, inclusive?

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

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Joined: 08 Aug 2015
Posts: 56
Re: How many integers are there between 51 and 107, inclusive?  [#permalink]

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26 Mar 2016, 06:19
1
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
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How many integers are there between 51 and 107, inclusive?  [#permalink]

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26 Mar 2016, 07:18
Bunuel wrote:
How many integers are there between 51 and 107, inclusive?

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

From 1 to 107 total no. of Integers = 107

From 1 to 50 total no. of Integers = 50

Total Integers from 51 to 107 = (Integer No. from 1 to 107) - (Integer No. from 1 to 50) = 107-50 = 57

P.S. This question is Sub 600 level and definitely not a 600-700 level question
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Re: How many integers are there between 51 and 107, inclusive?  [#permalink]

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26 Mar 2016, 07:21
vp101 wrote:
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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Re: How many integers are there between 51 and 107, inclusive?  [#permalink]

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19 Jun 2017, 06:53
Bunuel wrote:
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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Re: How many integers are there between 51 and 107, inclusive?  [#permalink]

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19 Jun 2017, 09:32
Bunuel wrote:
How many integers are there between 51 and 107, inclusive?

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

$$107 - 51 + 1$$ = $$57$$

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Re: How many integers are there between 51 and 107, inclusive?  [#permalink]

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18 Jan 2018, 08:53
Bunuel wrote:
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.

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Re: How many integers are there between 51 and 107, inclusive?   [#permalink] 18 Jan 2018, 08:53
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