SSC CGL 16 Aug 2015 Shift 1 Paper

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Question : 113 of 200

Marks: +1, -0

If x = 2 then the value of

x^3 + 27x^2

+ 243x + 631 is

1233
1211
1231
1321

Solution:

x^3 + 27x^2

+ 243 x + 631
=

x^3 + 3 . x^2

× 9 + 3x .

9^2

+

9^3

–

9^3

+ 631
=

(x + 9)^3

– 729 + 631
=

(2 + 9)^3

– 98
= 113 – 98 = 1331 – 98 = 1233

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