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# Ratio of the number of two digit integers

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Ratio of the number of two digit integers [#permalink]  11 Sep 2018, 05:40
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Question Stats:

53% (01:01) correct 46% (02:46) wrong based on 15 sessions
 Quantity A Quantity B Ratio of the number of two-digit integers whose squares are three-digit numbers to the number of two-digit integers whose squares is a four-digit number $$\frac{1}{3}$$

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

Last edited by Carcass on 11 Sep 2018, 10:04, edited 1 time in total.
Edited by Carcass
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Re: Ratio of the number of two digit integers [#permalink]  11 Sep 2018, 10:04
Expert's post
Please format the questions according to the rules of the board

https://greprepclub.com/forum/qq-how-to ... -2357.html

It is easy. Thank you for your collaboration.

Regards
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Joined: 18 Apr 2015
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Kudos [?]: 1113 [0], given: 5130

Re: Ratio of the number of two digit integers [#permalink]  11 Sep 2018, 10:09
Expert's post
Not a good question.

The two numbers (according to statement A) are 10 and 32, which ratio is < 1/3.

However, I could pick other numbers that satisfy the QA condition and the answer would be A.

See here for good questions https://greprepclub.com/forum/greprepcl ... -3523.html

Regards
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Re: Ratio of the number of two digit integers [#permalink]  11 Sep 2018, 10:59

The numbers 10........31 have squares of 3digit .These are 22 numbers.

32......99 have squares of 4 digit.These are 68 numbers.

So we are comparing, 22/68 and 1/3

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Re: Ratio of the number of two digit integers [#permalink]  12 Sep 2018, 02:49
1
KUDOS
AchyuthReddy wrote:
 Quantity A Quantity B Ratio of the number of two-digit integers whose squares are three-digit numbers to the number of two-digit integers whose squares is a four-digit number $$\frac{1}{3}$$

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.

Two-digit integers are 10 - 99
number of two-digit integers whose squares are three-digit numbers: 22 ( that is 10^2 = 100 and 31^2 = 961, the integers between this two numbers will also have 3-digit number as square)

number of two-digit integers whose squares is a four-digit number: 68 (that is 32^2 = 1024 and 99^2 = 9801, the integers between this two numbers will also have 4-digit number as square)
so,$$\frac{22}{68} = \frac{11}{34} < \frac{1}{3}$$

Re: Ratio of the number of two digit integers   [#permalink] 12 Sep 2018, 02:49
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