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# If x and y are two-digit integers such that x > 40 and y<70, which of

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Math Expert
Joined: 02 Sep 2009
Posts: 56304
If x and y are two-digit integers such that x > 40 and y<70, which of  [#permalink]

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23 Nov 2015, 13:28
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73% (01:17) correct 27% (01:32) wrong based on 164 sessions

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If x and y are two-digit integers such that x > 40 and y<70, which of the following is closest to the maximum possible value of xy ?

(A) 700
(B) 2,800
(C) 4,000
(D) 7,000
(E) 28,000

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Joined: 14 Sep 2014
Posts: 4
Re: If x and y are two-digit integers such that x > 40 and y<70, which of  [#permalink]

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23 Nov 2015, 14:19
For the value of xy to be maximum, we need to consider maximum value of x and y.
For X, that will be 99 (2 digit integer). For Y, that will be 69 (<70). The value of xy will be 69*99 = (70-1)(100-1) - So less than 7000.
Of all the options available, D satisfies the condition and thus the answer.
Intern
Joined: 21 Jul 2015
Posts: 34
Re: If x and y are two-digit integers such that x > 40 and y<70, which of  [#permalink]

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23 Nov 2015, 19:10
Bunuel wrote:
If x and y are two-digit integers such that x > 40 and y<70, which of the following is closest to the maximum possible value of xy ?

(A) 700
(B) 2,800
(C) 4,000
(D) 7,000
(E) 28,000

To get the maximum possible value of xy, we need maximize the value of both x and y
max x can be = 99 (given x is a two-digit integer > 40)
max y can be = 69 (given y is a two-digit integer < 70)
xy = 99*69 = 7000 (approx.)

Manager
Joined: 20 Jun 2017
Posts: 92
GMAT 1: 570 Q49 V19
Re: If x and y are two-digit integers such that x > 40 and y<70, which of  [#permalink]

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02 Sep 2018, 01:45
for xy to be maximum, x and y must each have the largest possible value.
We know that x > 40 and y < 70.
Greatest possible 2 digit integer such that it is greater than 40 is 99, hence x = 99
Greatest possible 2 digit integer such that it is less than 70 is 69, hence x = 69
Therefore the maximum possible value of xy = 99*69 = 6831 which is closest to option D
Re: If x and y are two-digit integers such that x > 40 and y<70, which of   [#permalink] 02 Sep 2018, 01:45
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