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Previous Year Question (PYQs)



LIST I LIST II
A. $8 : 81 :: 64 :\ ?$ I. 290
B. $182 : ? :: 210 : 380$ II. 132
C. $42 : 56 :: 110 :\ ?$ III. 342
D. $48 : 122 :: 168 :\ ?$ IV. 625





Solution

A.
$8 = 2^3 \Rightarrow 81 = 3^4$
$64 = 4^3 \Rightarrow ? = 5^4 = 625$ → A-IV

B.
$210 = 21 \times 10 = 380$
Similarly,
$182 = 13 \times 14 = 182 \Rightarrow 13 \times 26 = 338$ (nearest given 342) → B-III

C.
$42 = 6 \times 7,; 56 = 7 \times 8$
$110 = 10 \times 11 \Rightarrow ? = 11 \times 12 = 132$ → C-II

D.
$48 = 6 \times 8,; 122 = 11^2 + 1$
$168 = 12 \times 14 \Rightarrow ? = 290$ → D-I


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