BPSC (Bihar) Exam > BPSC (Bihar) Questions > Find the missing number in the given series f...
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Find the missing number in the given series following the same pattern:
15, 20, 32, 62, 118, 248, ?
- a)428
- b)322
- c)368
- d)More than one of the above
- e)None of the above
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Find the missing number in the given series following the same pattern...
The correct answer is 428.
Key Points
20 - 15 = 5 = 22 + 1
32 - 20 = 12 = 32 + 3
Similarly, X - 248 = 132 + 11
or, X = 180 + 248 = 428
The logic follows here is:
Difference Between two numbers = (Prime Number)2 + Odd Number
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Community Answer
Find the missing number in the given series following the same pattern...
Identifying the Pattern:
The given series is: 15, 20, 32, 62, 118, 248, ?
Understanding the Pattern:
To identify the pattern in the given series, let's find the differences between consecutive numbers:
- 20 - 15 = 5
- 32 - 20 = 12
- 62 - 32 = 30
- 118 - 62 = 56
- 248 - 118 = 130
Applying the Pattern:
From the differences calculated above, we can see that each number is increasing by a multiple of consecutive odd numbers:
- 5 = 1 x 5
- 12 = 3 x 4
- 30 = 5 x 6
- 56 = 7 x 8
- 130 = 9 x 10
Calculating the Next Number:
To find the next number in the series, we need to continue the pattern by multiplying the next pair of consecutive odd numbers:
- 11 x 12 = 132
Therefore, the missing number in the series is 248 + 132 = 380.
Correct Answer:
The correct answer is not provided in the options. The closest option is "a) 428," but the calculated missing number is 380.
The given series is: 15, 20, 32, 62, 118, 248, ?
Understanding the Pattern:
To identify the pattern in the given series, let's find the differences between consecutive numbers:
- 20 - 15 = 5
- 32 - 20 = 12
- 62 - 32 = 30
- 118 - 62 = 56
- 248 - 118 = 130
Applying the Pattern:
From the differences calculated above, we can see that each number is increasing by a multiple of consecutive odd numbers:
- 5 = 1 x 5
- 12 = 3 x 4
- 30 = 5 x 6
- 56 = 7 x 8
- 130 = 9 x 10
Calculating the Next Number:
To find the next number in the series, we need to continue the pattern by multiplying the next pair of consecutive odd numbers:
- 11 x 12 = 132
Therefore, the missing number in the series is 248 + 132 = 380.
Correct Answer:
The correct answer is not provided in the options. The closest option is "a) 428," but the calculated missing number is 380.
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