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

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Bunuel
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If x and y are two-digit integers such that x > 40 and y < 70, which [#permalink] New post   23 Nov 2015, 13:28
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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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D
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trevis
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Re: If x and y are two-digit integers such that x > 40 and y < 70, which [#permalink] New post   23 Nov 2015, 14:19
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Answer : D
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.
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Re: If x and y are two-digit integers such that x > 40 and y < 70, which [#permalink] New post   23 Nov 2015, 19:10
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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.)

Answer (D)
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Re: If x and y are two-digit integers such that x > 40 and y < 70, which [#permalink] New post   02 Sep 2018, 01:45
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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
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Re: If x and y are two-digit integers such that x > 40 and y < 70, which [#permalink] New post   27 Nov 2020, 13:21
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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



PS21237


To maximize the value of xy we need to maximize the value of x and y.

Since both x and y are two-digit integers, let \(x = 99\).

Since \(y < 70\), let \(y = 69\).

Since the answers are fairly spread apart, we can use \(100 * 70 = 7,000\).

Answer is D.
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Re: If x and y are two-digit integers such that x > 40 and y < 70, which [#permalink] New post   28 Nov 2020, 04:33
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Solution



Given
In this question, we are given that
    • The numbers x and y are two-digit integers such that x > 40 and y < 70

To find
We need to determine
    • Among the given options, which one is the closest to the maximum value of xy

Approach and Working out
In order to maximize the value of x and y, we should consider individual maximum values of x and y respectively.
    • As x > 40 and a 2-digit number, maximum value of x = 99
    • As y < 70, maximum value of y = 69
    • Hence, maximum value of xy = 99 * 69 = approx. 100 * 70 = 7000

Thus, option D is the correct answer.

Correct Answer: Option D
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Re: If x and y are two-digit integers such that x > 40 and y < 70, which [#permalink] New post   04 Sep 2021, 21:12
Hi, shouldn't the maximum value be less than 7000 so it meets the condition?
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Re: If x and y are two-digit integers such that x > 40 and y < 70, which [#permalink] New post   08 Sep 2021, 06:41
Closest maximum value for (x) (y), x > 40 whereas y < 70. This is a trick question, it leads you to believe that to x must be slightly more than 40, in actual fact, the main clue is: both (x) and (y) are two digits integers. Thus, assume the maximum value of (x) = 99 approx. = 100 and (y) = 69 approx. = 70.

(x) (y) = 7,000

Answer is : (D) !!!
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Re: If x and y are two-digit integers such that x > 40 and y < 70, which [#permalink] New post   08 Dec 2022, 15:02
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Re: If x and y are two-digit integers such that x > 40 and y < 70, which [#permalink]
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