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GATE 2021 CE (CE1) – Question 9

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

Define $\lambda(p,q)=(p-q)^2$ for $p\ge q$ and $p+q$ for $p<q$. Evaluate $\lambda(-(-3+2),(-2+3))/(-(-2+1))$.

  1. −1
  2. 0
  3. $16/3$
  4. 16

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Correct answer: (B) 0

Explanation

The two arguments in the numerator are $-(-3+2)=1$ and $-2+3=1$. Equality uses the first branch, so $\lambda(1,1)=0$. The denominator is 1; therefore the quotient is **0 (B)**.