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A computer routine was developed to generate two numbers,

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by BTGmoderatorDC » Wed Jun 26, 2019 8:02 pm
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A computer routine was developed to generate two numbers, ( x,y), the first being a random number between 0 and 100 inclusive, and the second being less than or equal to the square root of the first. Each of the following pairs satisfies this routine EXCEPT:

(A) (99, 10)
(B) (85, 9)
(C) (50, 7)
(D) (1 , 1)
(E) (1, 0)

OA A

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by Brent@GMATPrepNow » Thu Jun 27, 2019 6:17 am
BTGmoderatorDC wrote:A computer routine was developed to generate two numbers, ( x,y), the first being a random number between 0 and 100 inclusive, and the second being less than or equal to the square root of the first. Each of the following pairs satisfies this routine EXCEPT:

(A) (99, 10)
(B) (85, 9)
(C) (50, 7)
(D) (1 , 1)
(E) (1, 0)

OA A

Source: Official Guide
Check each answer choice...

(A) (99, 10)
√100 = 10
So, √99 is LESS THAN 10
In other words, 10 is GREATER THAN √99
So, answer choice A breaks the rule that says the second number must be less than or equal to the square root of the first"

Answer: A

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Brent
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by deloitte247 » Sun Jun 30, 2019 2:34 pm
x is a random number between 0 and 100
$$x=99\ ,\ then\ \ y\ \le\sqrt{99}$$
$$x=99\ ,\ and\ \ y\ \le9.95$$
$$x=85\ ,\ then\ \ y\ \le\sqrt{85}$$
$$x=85\ ,\ and\ y\ \le9.20$$
$$x=50\ ,\ then\ y\ \le\sqrt{50}$$
$$x=50\ ,\ and\ y\ \le7.71$$
$$x=1\ ,\ then\ y\ \le\sqrt{1}$$
$$x=1\ ,\ and\ y\ \le1$$
$$x=1\ ,\ then\ y\ \le\sqrt{0}$$
$$x=1\ ,\ and\ y\ \le0$$

$$answer\ is\ Option\ A$$
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by Scott@TargetTestPrep » Tue Jul 02, 2019 5:45 pm
BTGmoderatorDC wrote:A computer routine was developed to generate two numbers, ( x,y), the first being a random number between 0 and 100 inclusive, and the second being less than or equal to the square root of the first. Each of the following pairs satisfies this routine EXCEPT:

(A) (99, 10)
(B) (85, 9)
(C) (50, 7)
(D) (1 , 1)
(E) (1, 0)

OA A

Source: Official Guide
Looking at the answer choices, we see that since √100 = 10, square root of 99 is less than 10, so (99,10) cannot be the pair of numbers chosen.

Answer: A

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