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GATE 2021 CY – Question 9

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

Define $\lambda(p,q)=\begin{cases}(p-q)^2,&p\ge q\\p+q,&p<q.\end{cases}$ Evaluate $\dfrac{\lambda(-(-3+2),(-2+3))}{(-(-2+1))}$.

  1. $-1$
  2. $0$
  3. $16/3$
  4. $16$

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Show answer and explanation

Correct answer: (B) $0$

Explanation

The arguments are −(−3+2)=1 and −2+3=1. Since p≥q at equality, use λ(p,q)=(p−q)², giving λ(1,1)=0. The denominator is −(−2+1)=1.

Therefore the expression is **0/1=0, B**.