identify the wrong number in thw following series. 3,27,75,150,243,363
Answers
The given series are:
3, 27, 75, 150, 243, 363
We have, to find the value of wrong number = ?
Solution:
The pattern follow:
Previous number + (24 × 1), Previous number + (24 × 2), Previous number + (24 × 3), Previous number + (24 × 4), .......
27 = 3 + (24 × 1)
= 3 + 24 = 27
75 = 27 + (24 × 2)
= 27 + 48 = 75
150 = 75 + (24 × 3)
= 75 + 72 = 147 ≠ 150, is a wrong number.
243 = 147 + (24 × 4)
= 147 + 96 = 143
363 = 243 + (24 × 5)
= 243 + 120 = 363
∴ Wrong number = 150
Thus, the value of the "wrong number is 150".
Given:
- A series is given
3, 27, 75, 150, 243, 363
To Find:
- Identify the wrong number in the series
Solution:
3, 27, 75, 150, 243, 363
In this series multiple of 24 is added
⇒ 3 + 24 × 1 = 27
⇒ 27 + 24 × 2 = 27 + 48 = 75
⇒ 75 + 24 × 3 = 75 + 72 = 147 ≠ 150
⇒ 147 + 24 × 4 = 147 + 96 = 243
⇒ 243 + 24 × 5 = 243 + 120 = 363
Thus, the wrong number is 150