General Aptitude
Analytical Aptitude
GATE 2021
Hard
If (circled-plus) / (circled-dot) = 2; (circled-plus) / (delta) = 3; (circled-dot) + (delta) = 5; (delta) x (circled-times) = 10, then the value of ((circled-times) - (circled-plus))^2, is:
- A0
- 1
- C4
- D16
Explanation
Let a=(circled-plus), b=(circled-dot), c=(delta), d=(circled-times). From a/b=2 and a/c=3: a=2b=3c, so b=1.5c. Substituting into b+c=5: 1.5c+c=5, so c=2, b=3, a=6. From c*d=10: 2d=10, d=5. (d-a)^2=(5-6)^2=1.
Source: GATE ME 2021 Session 2 (ME-2) (2021)
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