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WBCS Preliminary Examination 2017 — General Studies · Question 154 of 200

Q154
ArithmeticNumber System, LCM/HCF & Divisibility
If $a \oplus b = $ L.C.M. of $a$ and $b$, $a \otimes b = $ G.C.M. of $a$ and $b$, then $(12 \otimes 16) \oplus (24 \otimes 36)$ will be
  1. a.4
  2. b.2
  3. c.12
  4. d.16

Answer: (C) 12

$12 \otimes 16 = \text{GCD}(12,16) = 4$, and $24 \otimes 36 = \text{GCD}(24,36) = 12$. Combining these with $\oplus$ (LCM): $\text{LCM}(4,12) = 12$.

Q153 Whole paperQ155
If a \oplus b = L.C.M. of a and b, a \otimes b = G.C.M. of a and b,… — WBCS Preliminary Examination 2017 Q154 | Prostuti360°