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# The product of two integers is 40. Which of the following CA

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The product of two integers is 40. Which of the following CA [#permalink]  05 Nov 2017, 23:30
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The product of two integers is 40. Which of the following CANNOT be the sum of these two integers?

(A) -41

(B) -14

(C) 3

(D) 13

(E) 14

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Re: The product of two integers is 40. Which of the following CA [#permalink]  06 Nov 2017, 06:05
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The couples of integer whose product is 40 are 1*40, 2*20, 4*10, 5*8 and the couples of the same but negative numbers -1*-40, -2*-20, -4*-10, -5*-8.

Then, we just have to exclude the choices which are right, i.e. -40-1 = -41; -10-4 =-14, 8+5 = 13, 10+4 = 14. The only sum that cannot be computed using couples of integers whose product is 40 is 3.

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Re: The product of two integers is 40. Which of the following CA [#permalink]  09 Jan 2018, 10:09
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Expert's post
Bunuel wrote:
The product of two integers is 40. Which of the following CANNOT be the sum of these two integers?

(A) -41

(B) -14

(C) 3

(D) 13

(E) 14

Let’s list the possible number combinations that can multiply to 40.

1, 40 or -1, -40

2, 20 or -2, -20

4, 10 or -4, -10

5, 8 or -5, -8

We see that the possible sums from the above pairs are:

41, -41, 22, -22, 14, -14, 13 and -13

From the given answer choices, the only sum that is not possible is 3.

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Re: The product of two integers is 40. Which of the following CA [#permalink]  12 Feb 2018, 00:52
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we can apply some logic to get answer to this question.
If the product of two integer is 40 we can be sure that both the two integers are either -ve or +ve
Hence the ans should be a summation of two +ve integer or summation of two -ve integer

Looking at the answer choices option C becomes a probable candidate for our answer
This is because 3 is a +ve number we know for sure a +ve ans choice in this question can come from summation of two positive number only
There are only two possibilities to get a summation of 3 by adding two numbers i.e. $$2$$ and $$1$$ or $$3$$ and $$0$$
The pair of $$(3,0)$$ is a not a possibility as $$0$$*something = $$0$$
and $$2$$ and $$1$$ multiply to $$2$$ so our answer is C
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Re: The product of two integers is 40. Which of the following CA   [#permalink] 12 Feb 2018, 00:52
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