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GATE 2021 IN – 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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Correct answer: (B) 0

Explanation

The arguments are −(−3+2)=1 and −2+3=1. Since p≥q, λ(1,1)=(1−1)²=0. The denominator is −(−2+1)=1, so the complete quotient is **0, B**. Choose the branch only after simplifying both arguments.