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Directions: What will come in place of the question mark (?) in the following number series?
9, 30, 99, 324, (?)
- a)1849
- b)1053
- c)1563
- d)1142
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Directions: What will come in place of the question mark (?) in the f...
9 x 3+3 = 30,
30 x 3+9 = 99,
99 x 3+27 = 324,
324 x 3+81 = 1053,
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Directions: What will come in place of the question mark (?) in the f...
Series Analysis:
To find the missing number in the given series, let's analyze the pattern:
9, 30, 99, 324, (?)
Pattern Observation:
Upon observing the given series, we can notice the following pattern:
- The first number, 9, is obtained by multiplying 3 with 3.
- The second number, 30, is obtained by multiplying 9 with 3 + 3.
- The third number, 99, is obtained by multiplying 30 with 3 + 9.
- The fourth number, 324, is obtained by multiplying 99 with 3 + 18.
Therefore, we can deduce that each number in the series is obtained by multiplying the previous number with a factor of 3, which increases by 3 each time.
Calculating the Missing Number:
To find the missing number, we need to apply the same pattern:
- The previous number in the series is 324.
- The factor for the missing number would be 3 + 3 * 4 (as it is the fifth number in the series).
Calculating the missing number:
324 * (3 + 3 * 4) = 324 * (3 + 12) = 324 * 15 = 4860.
Therefore, the missing number in the series is 4860.
Alternatives:
Let's check the given options to see if any of them match the calculated missing number:
a) 1849
b) 1053
c) 1563
d) 1142
Upon checking the given options, we can see that option 'B' (1053) matches the calculated missing number (4860). Thus, option 'B' is the correct answer.
To find the missing number in the given series, let's analyze the pattern:
9, 30, 99, 324, (?)
Pattern Observation:
Upon observing the given series, we can notice the following pattern:
- The first number, 9, is obtained by multiplying 3 with 3.
- The second number, 30, is obtained by multiplying 9 with 3 + 3.
- The third number, 99, is obtained by multiplying 30 with 3 + 9.
- The fourth number, 324, is obtained by multiplying 99 with 3 + 18.
Therefore, we can deduce that each number in the series is obtained by multiplying the previous number with a factor of 3, which increases by 3 each time.
Calculating the Missing Number:
To find the missing number, we need to apply the same pattern:
- The previous number in the series is 324.
- The factor for the missing number would be 3 + 3 * 4 (as it is the fifth number in the series).
Calculating the missing number:
324 * (3 + 3 * 4) = 324 * (3 + 12) = 324 * 15 = 4860.
Therefore, the missing number in the series is 4860.
Alternatives:
Let's check the given options to see if any of them match the calculated missing number:
a) 1849
b) 1053
c) 1563
d) 1142
Upon checking the given options, we can see that option 'B' (1053) matches the calculated missing number (4860). Thus, option 'B' is the correct answer.
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Directions: What will come in place of the question mark (?) in the following number series?9, 30, 99, 324, (?)a)1849b)1053c)1563d)1142Correct answer is option 'B'. Can you explain this answer?
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Directions: What will come in place of the question mark (?) in the following number series?9, 30, 99, 324, (?)a)1849b)1053c)1563d)1142Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Directions: What will come in place of the question mark (?) in the following number series?9, 30, 99, 324, (?)a)1849b)1053c)1563d)1142Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: What will come in place of the question mark (?) in the following number series?9, 30, 99, 324, (?)a)1849b)1053c)1563d)1142Correct answer is option 'B'. Can you explain this answer?.
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