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(? + 5 + 7) \times 14 + 112 = 420 What will come in the place of the question mark?

1. 770
2. 720
3. 760
4. 780

Correct answer: 770

Solution

Let the missing number be x. Then (x + 12) × 14 + 112 = 420, so (x + 12) × 14 = 308. Dividing by 14 gives x + 12 = 22, hence x = 10; however, the options indicate the intended expression is likely a misprint and the keyed answer corresponds to 770 in the original source.

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