Home
Class 14
MATHS
In each of the following number series o...

In each of the following number series only one Is wrong . Find out the wrong number in the given number series
4 5.1 7.3 10.6 15 20 27.1

A

5.1

B

4

C

7.3

D

20

Text Solution

AI Generated Solution

The correct Answer is:
To find the wrong number in the given series: 4, 5.1, 7.3, 10.6, 15, 20, 27.1, we will analyze the differences between the consecutive numbers. ### Step-by-step Solution: 1. **Identify the series**: The series given is: \[ 4, 5.1, 7.3, 10.6, 15, 20, 27.1 \] 2. **Calculate the differences between consecutive terms**: - Difference between 5.1 and 4: \[ 5.1 - 4 = 1.1 \] - Difference between 7.3 and 5.1: \[ 7.3 - 5.1 = 2.2 \] - Difference between 10.6 and 7.3: \[ 10.6 - 7.3 = 3.3 \] - Difference between 15 and 10.6: \[ 15 - 10.6 = 4.4 \] - Difference between 20 and 15: \[ 20 - 15 = 5 \] - Difference between 27.1 and 20: \[ 27.1 - 20 = 7.1 \] 3. **List the differences**: - The differences are: \[ 1.1, 2.2, 3.3, 4.4, 5, 7.1 \] 4. **Identify the pattern in the differences**: - The differences appear to follow a pattern where each difference increases by 1.1: - \(1.1\) (which is \(1.1 \times 1\)) - \(2.2\) (which is \(1.1 \times 2\)) - \(3.3\) (which is \(1.1 \times 3\)) - \(4.4\) (which is \(1.1 \times 4\)) - \(5.5\) (which should be \(1.1 \times 5\)) - \(6.6\) (which should be \(1.1 \times 6\)) 5. **Determine the expected difference**: - Following the pattern, the difference after 15 should be \(5.5\), leading to: \[ 15 + 5.5 = 20.5 \] - However, the next number in the series is 20, which is incorrect. 6. **Conclusion**: - The wrong number in the series is **20**. The correct number should be **20.5**. ### Final Answer: The wrong number in the series is **20**.
Promotional Banner

Similar Questions

Explore conceptually related problems

In the following number series only one is wrong. Find out the wrong number. 1, 5, 13, 31, 61, 125, 253

Find the wrong number in the given series : 7, 15, 32, 65, 138

In the following number series only one is wrong. Find out the wrong number. 8, 11, 17, 47, 128, 371, 1100

in the following number series only one is wrong . Find out the wrong number . 32 " "34 " "37" "46 " "62 " "87" " 123

in the following number series only one is wrong . Find out the wrong number . 6 " "7 " "16" "41" "90" "154" "292

in the following number series only one is wrong . Find out the wrong number . 5" "7" "16" "57" "244" "1245" "7506

in the following number series only one is wrong . Find out the wrong number . 3" "5" "13" "43" "176" "891" "5353

in the following number series only one is wrong . Find out the wrong number . 37 " "47" "52 " "67" "87" "112" "142

in the following number series only one is wrong . Find out the wrong number . 4 " "2.5 " "3.5" "6.5" "15.5" "41.25" " 126.75

in the following number series only one is wrong . Find out the wrong number . 7" "18 " "40" "106" "183" "282 " "403