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Directions to Solve
In this type of questions, one term in the number series is wrong. Find out the wrong term.
1, 5, 9, 15, 25, 37, 49
- a)9
- b)15
- c)25
- d)37
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Directions to Solve ...
The terms of the given series are 12, (22 + 1), 32, (42..+ 1), 52, (62 + 1), 72.
So, 15 is wrong and must be replaced by (42 + 1) i.e. 17.
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Directions to Solve ...
Question Analysis:
The given number series is 1, 5, 9, 15, 25, 37, 49. We need to identify the wrong term from the series.
Solution:
To find the pattern in the given number series, we can look for the difference between consecutive terms.
1. The difference between the first and second terms is 5 - 1 = 4.
2. The difference between the second and third terms is 9 - 5 = 4.
3. The difference between the third and fourth terms is 15 - 9 = 6.
4. The difference between the fourth and fifth terms is 25 - 15 = 10.
5. The difference between the fifth and sixth terms is 37 - 25 = 12.
6. The difference between the sixth and seventh terms is 49 - 37 = 12.
From the above differences, we can observe that the differences are not constant. The pattern seems to be increasing by 2 each time.
Correcting the Series:
To correct the series, we need to find the next term by following the pattern.
The difference between the sixth and seventh terms is 12. If we add 2 to this difference, we get the expected difference for the next term.
12 + 2 = 14
So, the expected difference between the seventh and eighth terms should be 14.
The seventh term is 49. If we add 14 to 49, we get the expected eighth term.
49 + 14 = 63
Therefore, the correct series should be 1, 5, 9, 15, 25, 37, 49, 63.
Identifying the Wrong Term:
Now, let's compare the correct series with the given series.
Given series: 1, 5, 9, 15, 25, 37, 49
Correct series: 1, 5, 9, 15, 25, 37, 49, 63
By comparing the two series, we can see that the given series is missing the number 63. Therefore, the wrong term in the given series is 49.
Conclusion:
The wrong term in the given number series is 49.
The given number series is 1, 5, 9, 15, 25, 37, 49. We need to identify the wrong term from the series.
Solution:
To find the pattern in the given number series, we can look for the difference between consecutive terms.
1. The difference between the first and second terms is 5 - 1 = 4.
2. The difference between the second and third terms is 9 - 5 = 4.
3. The difference between the third and fourth terms is 15 - 9 = 6.
4. The difference between the fourth and fifth terms is 25 - 15 = 10.
5. The difference between the fifth and sixth terms is 37 - 25 = 12.
6. The difference between the sixth and seventh terms is 49 - 37 = 12.
From the above differences, we can observe that the differences are not constant. The pattern seems to be increasing by 2 each time.
Correcting the Series:
To correct the series, we need to find the next term by following the pattern.
The difference between the sixth and seventh terms is 12. If we add 2 to this difference, we get the expected difference for the next term.
12 + 2 = 14
So, the expected difference between the seventh and eighth terms should be 14.
The seventh term is 49. If we add 14 to 49, we get the expected eighth term.
49 + 14 = 63
Therefore, the correct series should be 1, 5, 9, 15, 25, 37, 49, 63.
Identifying the Wrong Term:
Now, let's compare the correct series with the given series.
Given series: 1, 5, 9, 15, 25, 37, 49
Correct series: 1, 5, 9, 15, 25, 37, 49, 63
By comparing the two series, we can see that the given series is missing the number 63. Therefore, the wrong term in the given series is 49.
Conclusion:
The wrong term in the given number series is 49.
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Community Answer
Directions to Solve ...
There are two series 1st is 1,9,25,49 which is square of 1,3,5,7
and 2nd series is 5,15,37 which is square+1 ie . 2*2+1,4*4+1,6*6+1 in which we see 15 in the place of 16 thus 15 is the wrong one.
and 2nd series is 5,15,37 which is square+1 ie . 2*2+1,4*4+1,6*6+1 in which we see 15 in the place of 16 thus 15 is the wrong one.
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