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# The number of integers between 36 100 and 500 that are multi

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Kudos [?]: 978 [0], given: 4499

The number of integers between 36 100 and 500 that are multi [#permalink]  14 Feb 2017, 08:24
Expert's post
00:00

Question Stats:

67% (00:57) correct 32% (00:21) wrong based on 34 sessions

 Quantity A Quantity B The number of integers between 100 and 500 that are multiples of 11 36

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1615 [4] , given: 376

Re: The number of integers between 36 100 and 500 that are multi [#permalink]  14 Feb 2017, 15:53
4
KUDOS
Expert's post
Explanation

Easiest way to do this is to find the smallest multiple of 11 over hundred and the largest below 500.

So in the calculator do $$\frac{100}{11}= 9.09$$. So the 10th multiple of 11 must be greater than 100. We know that the 10th multiple of 11 is 110.

Similarly we do $$\frac{500}{11}= 45.45$$. Hence the 45th multiple of 11 is smaller than 500. We know that 45th multiple of 11 is 495.

Hence number of multiples of 11 between 100 and 500 is 45 -10 + 1 = 36.

Remember to add 1 as both 10th multiple and 45th multiple is counted.

Hence both quantities are equal. Thus C is the correct answer.
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Joined: 18 Feb 2017
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Kudos [?]: 2 [1] , given: 0

Re: The number of integers between 36 100 and 500 that are multi [#permalink]  18 Feb 2017, 11:14
1
KUDOS
sandy wrote:
Explanation

Easiest way to do this is to find the smallest multiple of 11 over hundred and the largest below 500.

So in the calculator do $$\frac{100}{11}= 9.09$$. So the 10th multiple of 11 must be greater than 100. We know that the 10th multiple of 11 is 110.

Similarly we do $$\frac{100}{11}= 45.45$$. Hence the 45th multiple of 11 is smaller than 500. We know that 45th multiple of 11 is 495.

Hence number of multiples of 11 between 100 and 500 is 45 -10 + 1 = 36.

Remember to add 1 as both 10th multiple and 45th multiple is counted.

Hence both quantities are equal. Thus C is the correct answer.

Dont you mean 500/11?
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Joined: 07 Jun 2014
Posts: 4711
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1615 [2] , given: 376

Re: The number of integers between 36 100 and 500 that are multi [#permalink]  19 Feb 2017, 05:15
2
KUDOS
Expert's post
Fixed!! Thanks
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Re: The number of integers between 36 100 and 500 that are multi   [#permalink] 19 Feb 2017, 05:15
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