Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (28.08.2024) Shift-I
Find the value of the following expression: [(0.22 x 0.22 x 0.22) + (0.022 x 0.022 x 0.022)] divided by [(0.66 x 0.66 x 0.66) + (0.066 x 0.066 x 0.066)].
A2/27
B1/25
C1/27 ✓ Correct
D1/23
Correct answer: (C) 1/27 — The value of the expression is 1/27, so that is the answer.
Explanation
★The value of the expression is 1/27, so that is the answer.
★Take a as 0.22 and b as 0.022, so the numerator is a cubed plus b cubed.
★The denominator has 0.66 as 3a and 0.066 as 3b.
★So the denominator is (3a) cubed plus (3b) cubed, which is 27 times (a cubed plus b cubed).
★The numerator and the factor (a cubed plus b cubed) cancel.
★So the value is 1 over 27.
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