Question discussion

Find the missing number in the given number series: 7, 12, 20, 37, 81, 206, ?

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Discussion 1

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Trick:

Look at the given series and we can surely say that the difference between two numbers is increasing

We can eliminate 200, 324, 306 and 280, as the difference between 81 and 206 is 125

Therefore difference would be greater than 125

Hence, 574 is the answer

Detailed solution:

The series follows the following pattern:

7 12 20 37 81 206 ?

+5 +8 +17 +44 +125

+3 +9 +27 +81

⇒ According to the logic the next number after 81 is 81 × 3 = 243

Now,

⇒ 125 + 243 = 368

∴ 206 + 368 = 574