If x and y are two-digit integers such that x 40 and y

Question

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

trevis · Answer

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.

pluto82 · Answer

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)

pkshankar · Answer

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

Basshead · Answer

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.

EgmatQuantExpert · Answer

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.

Thus, option D is the correct answer.

Correct Answer: Option D

YZLIM1994 · Answer

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) !!!

(x) (y) = 7,000

Answer is : (D) !!!

bumpbot · Answer

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

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