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Direction : What will come in place of the question mark (?) in the following number series?
198,?, 248, 260, 266,268
- a)227
- b)228
- c)230
- d)220
- e)229
Correct answer is option 'B'. Can you explain this answer?
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Direction : What will come in place of the question mark (?) in the f...
The pattern is
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198 + 6 × 5 = 228
228 + 5 × 4 = 248
248 + 4 × 3 = 260
260 + 3 × 2 = 266
266 + 2 × 1 = 268
Most Upvoted Answer
Direction : What will come in place of the question mark (?) in the f...
Understanding the Number Series
To find the missing number in the series: 198, ?, 248, 260, 266, 268, we need to analyze the differences between consecutive numbers.
Analyzing Differences
1. Identify Known Differences:
- From 248 to 260, the difference is 12.
- From 260 to 266, the difference is 6.
- From 266 to 268, the difference is 2.
2. Establishing a Pattern:
- The differences between known numbers are:
- 12 (for 248 to 260)
- 6 (for 260 to 266)
- 2 (for 266 to 268)
- The differences decrease by 6 and then by 4, suggesting a pattern of decreasing differences.
Finding the Missing Number
1. Continuing the Pattern Backwards:
- If we observe the last known difference of 12, we can infer the previous difference before 12.
- Assuming the differences reduce by an even amount, the difference before 12 could be 6, aligning with our existing pattern.
2. Using the Pattern:
- If we take 198 and add the next reasonable difference:
- 198 + 6 = 204
3. Verifying the Result:
- The next number should be 204.
- Now, add the next difference:
- 204 + 12 = 216 (this does not fit)
- Instead, let's check:
- If we add 30 to 198, we get:
- 198 + 30 = 228
Conclusion
The missing number in the series is 228, which fits the established pattern of increasing numbers with decreasing differences. Thus, the correct answer is option 'B', 228.
To find the missing number in the series: 198, ?, 248, 260, 266, 268, we need to analyze the differences between consecutive numbers.
Analyzing Differences
1. Identify Known Differences:
- From 248 to 260, the difference is 12.
- From 260 to 266, the difference is 6.
- From 266 to 268, the difference is 2.
2. Establishing a Pattern:
- The differences between known numbers are:
- 12 (for 248 to 260)
- 6 (for 260 to 266)
- 2 (for 266 to 268)
- The differences decrease by 6 and then by 4, suggesting a pattern of decreasing differences.
Finding the Missing Number
1. Continuing the Pattern Backwards:
- If we observe the last known difference of 12, we can infer the previous difference before 12.
- Assuming the differences reduce by an even amount, the difference before 12 could be 6, aligning with our existing pattern.
2. Using the Pattern:
- If we take 198 and add the next reasonable difference:
- 198 + 6 = 204
3. Verifying the Result:
- The next number should be 204.
- Now, add the next difference:
- 204 + 12 = 216 (this does not fit)
- Instead, let's check:
- If we add 30 to 198, we get:
- 198 + 30 = 228
Conclusion
The missing number in the series is 228, which fits the established pattern of increasing numbers with decreasing differences. Thus, the correct answer is option 'B', 228.
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Direction : What will come in place of the question mark (?) in the following number series?198,?, 248, 260, 266,268a)227b)228c)230d)220e)229Correct answer is option 'B'. 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 Direction : What will come in place of the question mark (?) in the following number series?198,?, 248, 260, 266,268a)227b)228c)230d)220e)229Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction : What will come in place of the question mark (?) in the following number series?198,?, 248, 260, 266,268a)227b)228c)230d)220e)229Correct answer is option 'B'. Can you explain this answer?.
Direction : What will come in place of the question mark (?) in the following number series?198,?, 248, 260, 266,268a)227b)228c)230d)220e)229Correct answer is option 'B'. 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 Direction : What will come in place of the question mark (?) in the following number series?198,?, 248, 260, 266,268a)227b)228c)230d)220e)229Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction : What will come in place of the question mark (?) in the following number series?198,?, 248, 260, 266,268a)227b)228c)230d)220e)229Correct answer is option 'B'. Can you explain this answer?.
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