SSC CPO 2023 PYQ — Question 119

SSC CPO - 03 Oct 2023 - Shift 2 • Quantitative Aptitude • Q119

If AL {{A} \over L} + MB {{M} \over B} = 1  and BM {{B} \over M} + NC {{N} \over C} = 1, Then the value of LA {{L} \over A} + CN {{C} \over N} is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 1.

Calculations:

In this question we will assume the value of the variables;

⇒ AL {{A} \over L} + MB {{M} \over B} = 1

Let us take A = 1, L = 2, M = 1 and B = 2

⇒ (1/2) + (1/2) = 1

⇒ 1 = 1

Now, for the second equation;

⇒ BM {{B} \over M} + NC {{N} \over C} = 1

we have the value of B = 2 and M = 1, such that

⇒ 2 + N/C = 1

⇒ N/C = -1

Now using these values in,

⇒ LA {{L} \over A} + CN {{C} \over N}

⇒ 2/1 + (-1) = 2 - 1 = 1