Question

Rahul thinks of an integer between -30 and -20. He subtracts another integer n from this and gets a positive integer as the answer. What is the value of n?

a) -34
b) -29
c) -28
d) -27

Answer 1

The value of the integer n is -34. This is because it's the only option given that is less than -21, which is the largest integer in the range between -30 and -20 that would yield a positive result when n is subtracted from it.

Step-by-step explanation:

The question involves finding the value of an integer n such that when it is subtracted from another integer between -30 and -20, the result is a positive integer.

The options given are a) -34 b) -29 c) -28 d) -27.

Let's denote the integer Rahul thinks of as x,

where -30 < x < -20. If the result of subtracting n from x is a positive integer,

we can write this as x - n > 0. We can rearrange this inequality to n < x. Since the greatest integer x can be is -21 (the closest to -20 without being -20),

n must be less than -21 in order to make the result positive.

Looking at the options, the only value less than -21 is -34 (option a). Therefore, the answer is: a) -34.