Question

Which of the following will give an integer when solved?

Answer 1

Choice B

Step-by-step explanation:

Let us evaluate each expression to see whether it gives an integer.

Choice A.

First, we evaluate the expression in the parenthesis. This gives

`9*2/4`

Then we do multiplication

`18/4`

The number 18 is not divisible by 4. Therefore, this expression does not give an integer.

Choice B.

First, let us perform addition and subtraction in the numerators and denominators. This gives

`-(3)/(3)+(2*(4))/(-4)`

since 2 x 4 = 8, the above becomes

`-(3)/(3)+(8)/(-4)`

Since, -3/3 = 1 and 8/ -4 = -2, the above becomes

`-1-2=-3`

As we can see the expression in choice B gives us an integer.

Since only one option out of 4 choices is correct, we conclude that the right answer has to be choice B.

Note: Since we found choice B to be correct, we don't need to check choices C and D.