IPMAT Indore 2024 - QA (MCQ) Q24 Explanation

Explanation:

(d) Given that

|c/a| = 4…eqn.(1), 

|a/b| = 1/3 …eqn. (2)

b/c =−3/4 …eqn.(3)

Also ac > 0. It means,

(i) either both a and c are positive values, or

(ii) both a ad c are negative values.

Let’s take case-(i), a and c are +ve values.

From equation (3), we can say c is +4x then b = -3x

Consequently, from equation (1), a=+ x (a & c should be of the same sign)

∴ b+c/a =3x-4x/-x = 1

Let’s take case-(ii), a and c are -ve values

From equation (3), we can say c is -4x then b = +3 Consequently, from equation (1), a=-x (a & c should be of the same sign)

∴ b+c/a = 3x−4x/−x = 1

In either of the cases considered above, the value of the expression is equal to 1. Ans.