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What will come in the place of question mark in the following number series?
4, 14, ?, 214, 854, 3414
4, 14, ?, 214, 854, 3414
- a)54
- b)44
- c)64
- d)65
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
What will come in the place of question mark in the following number s...
To solve this question, we need to identify the pattern in the given number series and determine the missing number that fits the pattern. Let's analyze the series step by step:
Step 1: From 4 to 14, we add 10.
Step 2: From 14 to ?, we add 100.
Step 3: From ? to 214, we add 200.
Step 4: From 214 to 854, we add 640.
Step 5: From 854 to 3414, we add 2560.
From this analysis, it is clear that each subsequent number is obtained by adding a specific number to the previous number. Let's find the pattern in the numbers we are adding:
Pattern in the numbers we are adding:
Step 1: 10
Step 2: 100 (10^2)
Step 3: 200 (2 * 100)
Step 4: 640 (4 * 160)
Step 5: 2560 (8 * 320)
It seems that the numbers we are adding are increasing exponentially. More specifically, the number we are adding is obtained by multiplying the number of the step by a specific factor. Let's find that factor:
Factor:
Step 1: 10/1 = 10
Step 2: 100/2 = 50
Step 3: 200/3 ≈ 66.67
Step 4: 640/4 = 160
Step 5: 2560/5 = 512
The factor seems to be increasing by a multiple of 5. Therefore, in the missing step, we need to add 5 * 6 = 30 to the previous number:
Step 2 (missing): 14 + 100 = 114
Step 3: 114 + 200 = 314
So, the missing number in the series is 114, which corresponds to option A) 54.
Therefore, the correct answer is option A) 54.
Step 1: From 4 to 14, we add 10.
Step 2: From 14 to ?, we add 100.
Step 3: From ? to 214, we add 200.
Step 4: From 214 to 854, we add 640.
Step 5: From 854 to 3414, we add 2560.
From this analysis, it is clear that each subsequent number is obtained by adding a specific number to the previous number. Let's find the pattern in the numbers we are adding:
Pattern in the numbers we are adding:
Step 1: 10
Step 2: 100 (10^2)
Step 3: 200 (2 * 100)
Step 4: 640 (4 * 160)
Step 5: 2560 (8 * 320)
It seems that the numbers we are adding are increasing exponentially. More specifically, the number we are adding is obtained by multiplying the number of the step by a specific factor. Let's find that factor:
Factor:
Step 1: 10/1 = 10
Step 2: 100/2 = 50
Step 3: 200/3 ≈ 66.67
Step 4: 640/4 = 160
Step 5: 2560/5 = 512
The factor seems to be increasing by a multiple of 5. Therefore, in the missing step, we need to add 5 * 6 = 30 to the previous number:
Step 2 (missing): 14 + 100 = 114
Step 3: 114 + 200 = 314
So, the missing number in the series is 114, which corresponds to option A) 54.
Therefore, the correct answer is option A) 54.
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What will come in the place of question mark in the following number series?4, 14, ?, 214, 854, 3414a)54b)44c)64d)65Correct answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about What will come in the place of question mark in the following number series?4, 14, ?, 214, 854, 3414a)54b)44c)64d)65Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will come in the place of question mark in the following number series?4, 14, ?, 214, 854, 3414a)54b)44c)64d)65Correct answer is option 'A'. Can you explain this answer?.
What will come in the place of question mark in the following number series?4, 14, ?, 214, 854, 3414a)54b)44c)64d)65Correct answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about What will come in the place of question mark in the following number series?4, 14, ?, 214, 854, 3414a)54b)44c)64d)65Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will come in the place of question mark in the following number series?4, 14, ?, 214, 854, 3414a)54b)44c)64d)65Correct answer is option 'A'. Can you explain this answer?.
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