Home
Class 14
MATHS
In each of these question a number serie...

In each of these question a number series is given in which one number is wrong find out wrong number
5 7 11 19 35 68 131

A

35

B

7

C

68

D

11

Text Solution

AI Generated Solution

The correct Answer is:
To find the wrong number in the series: 5, 7, 11, 19, 35, 68, 131, we will analyze the differences between consecutive numbers and identify any inconsistencies. ### Step-by-Step Solution: 1. **Identify the Series**: The given series is: 5, 7, 11, 19, 35, 68, 131. 2. **Calculate the Differences**: We will find the differences between consecutive terms: - 7 - 5 = 2 - 11 - 7 = 4 - 19 - 11 = 8 - 35 - 19 = 16 - 68 - 35 = 33 - 131 - 68 = 63 So, the differences are: 2, 4, 8, 16, 33, 63. 3. **Analyze the Differences**: The differences themselves seem to follow a pattern. Let's observe: - 2 (2^1) - 4 (2^2) - 8 (2^3) - 16 (2^4) - 33 (not a power of 2) - 63 (not a power of 2) The first four differences are powers of 2. 4. **Identify the Expected Difference**: The next difference after 16 should logically be 32 (which is 2^5). 5. **Calculate the Correct Next Term**: If we add 32 to the last correct term before the inconsistency: - 35 + 32 = 67 6. **Compare with the Given Series**: The next term in the series is given as 68, but we calculated it should be 67. 7. **Conclusion**: Therefore, the wrong number in the series is 68. ### Final Answer: The wrong number is **68**.
Promotional Banner

Similar Questions

Explore conceptually related problems

In each of the following number series, the wrong number is given, find out that number. 5, 23, 43, 66, 94, 131

In the following number series a wrong number is given. Find out the wrong number 1, 3, 6, 11, 20, 39, 70

In the following number series only one number is wrong . Find out the wrong number. 3" "7" "16" "32" "56" "93" "142