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Directions for questions: Based on the series of numbers given in the question, find the next / missing number in the series.
6, 15, 33, 69, ?, 285
  • a)
    139
  • b)
    151
  • c)
    150
  • d)
    141
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions for questions:Based on the series of numbers given in the q...
Pattern is (x 2 + 3).
Hence missing term will be 69 x 2 + 3 = 141.
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Directions for questions:Based on the series of numbers given in the q...
Solution:

To find the logic behind the given series of numbers, we need to observe the pattern between the numbers.

6, 15, 33, 69, ?, 285

We can see that the given numbers are increasing with each term at an increasing rate.

Let's find the difference between the terms to get a clear idea.

15 - 6 = 9
33 - 15 = 18
69 - 33 = 36
? - 69 = ?
285 - ? = ?

We can notice that the difference between the terms is also increasing at an increasing rate.

Hence, we can assume that the pattern in the series is based on multiplying the difference by a factor and then adding it to the last term.

Let the missing number be x.

Then, the pattern can be represented as follows:

6 + 9 = 15
15 + (2 * 9) = 33
33 + (3 * 18) = 69
69 + (4 * 36) = x
x + (5 * 72) = 285

On solving the above equations, we get:

x = 141

Therefore, the missing number in the series is 141, which is option D.
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Directions for questions:Based on the series of numbers given in the question, find the next / missing number in the series.6, 15, 33, 69, ?, 285a)139b)151c)150d)141Correct answer is option 'D'. Can you explain this answer?
Question Description
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