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Set I consists of the integers from 11 through 100, inclusiv

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Set I consists of the integers from 11 through 100, inclusiv [#permalink] New post 05 Dec 2017, 12:42
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Set I consists of the integers from 11 through 100, inclusive.

Quantity A
Quantity B
4 times the number of integers in set T that are multiples of 4
5times the number of integers in set T that are multiples of 5



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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Re: Set I consists of the integers from 11 through 100, inclusiv [#permalink] New post 06 Dec 2017, 23:52
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how do I check how many multiple of 4 between 11-100?
Can anyone give me the formula, thank you
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Kudos [?]: 168 [1] , given: 54

Re: Set I consists of the integers from 11 through 100, inclusiv [#permalink] New post 07 Dec 2017, 02:23
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wongpcla wrote:
how do I check how many multiple of 4 between 11-100?
Can anyone give me the formula, thank you



Definitely it has a formula-

Multiple of x in the range = \frac{(last multiple of "x" in the range - first multiple of "x" in the range)}{x} +1


Now in the first case we need the multple of 4 in the range from 11 to 100, so applying the formula

Multiple of 4 = \frac{(96-12)}{4}+ 1 (Last multiple of 4 in the range from 11 to 100 is 96 and the first multiple in the range is 12)

i.e equal to 22 nos.

In second case

Multiple of 5 = \frac{(100-15)}{5}+ 1

i.e equals to 17 nos.

Hence A > B
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Re: Set I consists of the integers from 11 through 100, inclusiv   [#permalink] 07 Dec 2017, 02:23
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Set I consists of the integers from 11 through 100, inclusiv

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