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GATE 2021 MT – Question 4

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

If $\oplus\div\odot=2$, $\oplus\div\triangle=3$, $\odot+\triangle=5$, and $\triangle\times\otimes=10$, then $(\otimes-\oplus)^2=$ ______.

  1. 0
  2. 1
  3. 4
  4. 16

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Correct answer: (B) 1

Explanation

Let the first three symbols be x,y,z. From x/y=2 and x/z=3, y=1.5z; y+z=5 gives z=2,y=3,x=6. The product z·w=10 gives w=5.

Thus (w−x)²=**1, B**.