| Direction: In the following number series only one number is wrong. Find out the wrong number. |
| 181 182 155 282 -63 666 |
A) 666
B) -63
C) 155
D) 282
E) 181
Correct Answer: D
Solution :
The series is \[+{{(1)}^{3}},-{{(3)}^{3}},+{{(5)}^{3}},-{{(7)}^{3}},+{{(9)}^{3}},...\] \[ie\text{ }181+{{(1)}^{3}}=182,\text{ }182-{{(3)}^{3}}=155\], \[155+{{(5)}^{3}}=\mathbf{280},\text{ }280-{{(7)}^{3}}=-63\], \[-63+{{(9)}^{3}}=666,\text{ }...\] Hence it should be 280 in place of 282.
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