Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2022 (23.02.2023) Shift-II
Find the value of the following expression: 5.2 times 5.2 minus 2.5 times 2.5, all divided by 7.7 times 2.7.
A20.79 over 20.25
B20.75 over 20.50
C2
D1 ✓ Correct
Correct answer: (D) 1 — The value of the expression is 1, so the answer is 1.
Explanation
★The value of the expression is 1, so the answer is 1.
★The numerator is 5.2 squared minus 2.5 squared.
★A difference of two squares equals the sum times the difference.
★So it is 5.2 plus 2.5 times 5.2 minus 2.5, which is 7.7 times 2.7.
★The denominator is also 7.7 times 2.7.
★So the same quantity divides itself.
★That equals 1.
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