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Directions (20-24): In the following number series only one number is wrong. Find out the wrong number.
2 7 30 138 524 1557 3102
- a)7
- b)30
- c)138
- d)524
- e)1557
Correct answer is option 'C'. Can you explain this answer?
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Directions (20-24): In the following number series only one number is ...
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Directions (20-24): In the following number series only one number is ...
Given number series: 2, 7, 30, 138, 524, 1557, 3102
To find the wrong number in the series, we need to identify the pattern or rule followed by the numbers and check if any number deviates from that pattern.
Pattern:
Looking at the given series, we can observe the following pattern:
- The difference between the consecutive numbers is increasing.
- The difference between the first two numbers (7 - 2 = 5) is added to the second number (7) to get the third number (7 + 5 = 12).
- The difference between the second and third numbers (30 - 7 = 23) is added to the third number (30) to get the fourth number (30 + 23 = 53).
- The difference between the fourth and fifth numbers (524 - 138 = 386) is added to the fifth number (524) to get the sixth number (524 + 386 = 910).
- The difference between the fifth and sixth numbers (1557 - 524 = 1033) is added to the sixth number (1557) to get the seventh number (1557 + 1033 = 2590).
Identifying the wrong number:
Now let's apply the pattern to find the expected value for the seventh number:
Difference between the sixth and seventh numbers = 2590 - 1557 = 1033
Expected seventh number = 3102 + 1033 = 4135
Comparing the expected seventh number (4135) with the given seventh number (3102), we can see that there is a significant difference.
Conclusion:
Therefore, the wrong number in the given series is 3102, which is option C.
To find the wrong number in the series, we need to identify the pattern or rule followed by the numbers and check if any number deviates from that pattern.
Pattern:
Looking at the given series, we can observe the following pattern:
- The difference between the consecutive numbers is increasing.
- The difference between the first two numbers (7 - 2 = 5) is added to the second number (7) to get the third number (7 + 5 = 12).
- The difference between the second and third numbers (30 - 7 = 23) is added to the third number (30) to get the fourth number (30 + 23 = 53).
- The difference between the fourth and fifth numbers (524 - 138 = 386) is added to the fifth number (524) to get the sixth number (524 + 386 = 910).
- The difference between the fifth and sixth numbers (1557 - 524 = 1033) is added to the sixth number (1557) to get the seventh number (1557 + 1033 = 2590).
Identifying the wrong number:
Now let's apply the pattern to find the expected value for the seventh number:
Difference between the sixth and seventh numbers = 2590 - 1557 = 1033
Expected seventh number = 3102 + 1033 = 4135
Comparing the expected seventh number (4135) with the given seventh number (3102), we can see that there is a significant difference.
Conclusion:
Therefore, the wrong number in the given series is 3102, which is option C.
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Directions (20-24): In the following number series only one number is wrong. Find out the wrong number.2 7 30 138 524 1557 3102a)7b)30c)138d)524e)1557Correct answer is option 'C'. Can you explain this answer?
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