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Performing mathematical operations on equation

Suppose you a...

Question

Suppose you are given two natural numbers and are asked to multiply them followed by adding 4 to the result. The result of this operation is 40. Which of the following could NOT be the sum of the two numbers?

A

12

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B

13

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C

15

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D

18

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E

20

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Solution

The correct option is D 18
Given that after adding 4 to the result we get the number 40 we get the equation as,
$x + 4 = 40$
$∴ x + 4 = 40$
$x = 36$
The Factors of 36 are
1,2,3,4,6,9,12,18 and 36 itself.
Now we take a pair of numbers from the factors of 36, which when added gives us the number in the options and when multiplied gives us the result 36.
A. 12 = $6 \times 6 = 36$
B. 13 = $4 \times 9 = 36$
C. 15 = $3 \times 12 = 36$
D. 18 = No pair matches.
E. 20 = $2 \times 18 = 36$
Hence option D is the correct answer.

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