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What should come in place of question mark (?) in the following number/alphabetic series?
Q. 5, 16, 51, 158, ?
- a)483
- b)481
- c)1454
- d)1452
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What should come in place of question mark (?) in the following number...
In given series:
16 = 5*3 + 1
51 = 16*3 + 3
158 = 51*3 + 5
hence according to pattern next digit will be 158*3 + 7 = 481
Most Upvoted Answer
What should come in place of question mark (?) in the following number...
Understanding the Series
The series given is: 5, 16, 51, 158, ?
To find the missing number, we analyze the pattern in the series.
Identifying the Pattern
- The first number is 5.
- The second number is 16.
- Calculation: \(5 \times 3 + 1 = 15 + 1 = 16\)
- The third number is 51.
- Calculation: \(16 \times 3 + 3 = 48 + 3 = 51\)
- The fourth number is 158.
- Calculation: \(51 \times 3 + 5 = 153 + 5 = 158\)
Continuing the Pattern
Now we can see a pattern:
- The series is constructed by multiplying the previous number by 3 and then adding consecutive odd numbers (1, 3, 5, ...).
Next, we need to find the 5th number:
- The next odd number after 5 is 7.
Calculating the Missing Number
- Calculation for the missing number:
- \(158 \times 3 + 7\)
- \(474 + 7 = 481\)
Conclusion
Thus, the missing number in the series is **481**.
Final Answer
So, the correct option is: **b) 481**.
The series given is: 5, 16, 51, 158, ?
To find the missing number, we analyze the pattern in the series.
Identifying the Pattern
- The first number is 5.
- The second number is 16.
- Calculation: \(5 \times 3 + 1 = 15 + 1 = 16\)
- The third number is 51.
- Calculation: \(16 \times 3 + 3 = 48 + 3 = 51\)
- The fourth number is 158.
- Calculation: \(51 \times 3 + 5 = 153 + 5 = 158\)
Continuing the Pattern
Now we can see a pattern:
- The series is constructed by multiplying the previous number by 3 and then adding consecutive odd numbers (1, 3, 5, ...).
Next, we need to find the 5th number:
- The next odd number after 5 is 7.
Calculating the Missing Number
- Calculation for the missing number:
- \(158 \times 3 + 7\)
- \(474 + 7 = 481\)
Conclusion
Thus, the missing number in the series is **481**.
Final Answer
So, the correct option is: **b) 481**.
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What should come in place of question mark (?) in the following number/alphabetic series?Q. 5, 16, 51, 158, ?a)483b)481c)1454d)1452Correct answer is option 'B'. Can you explain this answer?
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What should come in place of question mark (?) in the following number/alphabetic series?Q. 5, 16, 51, 158, ?a)483b)481c)1454d)1452Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about What should come in place of question mark (?) in the following number/alphabetic series?Q. 5, 16, 51, 158, ?a)483b)481c)1454d)1452Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What should come in place of question mark (?) in the following number/alphabetic series?Q. 5, 16, 51, 158, ?a)483b)481c)1454d)1452Correct answer is option 'B'. Can you explain this answer?.
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