Question : What should come in place of the question mark (?) in the following question?
2 × 324 × ? = 92 × 222 × 6
Option 1: 359
Option 2: 364
Option 3: 363
Option 4: 366
Correct Answer: 363
Solution :
Simplifying the right-hand side of the given equation,
9
2
× 22
2
× 6 = 81 × 484 × 6 = 235224
Equating it to the left-hand side of the equation,
⇒ 2 × 324 × ? = 235224
⇒ ? = $\frac{235224}{2×324}$
⇒ ? = 363
Hence, the correct answer is 363.
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