Simplification SSC CHSL Questions

Simplification

Simplification MCQ Questions

1.

If \(x^2 - 6\sqrt{3}x + 1 = 0\), then the value of \(x^3 + \frac{1}{x^3}\) will be:


SSC CHSL 2021-12.04.2021-1
A.

\(234\sqrt{3}\)

B.

\(216\sqrt{3}\)

C.

\(666\sqrt{3}\)

D.

\(630\sqrt{3}\)

ANSWER :

D. \(630\sqrt{3}\)

2.

If \(x^4 + y^4 + x^2y^2 = 117\) and \(x^2 + y^2 - xy = 3(4 + \sqrt{3})\), then the value of (x2 + y2) will be:


SSC CHSL 2021-12.04.2021-1
A.

9

B.

\(6\sqrt{3}\)

C.

12

D.

\(13\sqrt{3}\)

ANSWER :

C. 12

3.

The value of

\(\left(2\tfrac{1}{2} \div 1\tfrac{7}{8}\right) \div \left(9\tfrac{4}{9} \div 11\tfrac{1}{3}\ \text{of}\ \tfrac{1}{8}\right)\ \text{of}\ \tfrac{4}{3} \times 5\tfrac{1}{3} - \tfrac{9}{8} \div \tfrac{3}{4}\)

is:


SSC CHSL 2021-12.04.2021-1
A.

\(\frac{1}{5}\)

B.

\(-\frac{7}{10}\)

C.

\(\frac{23}{10}\)

D.

\(-\frac{4}{5}\)

ANSWER :

B. \(-\frac{7}{10}\)

4.

What is the value of x, if 25% of 480 + 30% of 500 + x% of 90 = 35% of 900 ?


SSC CHSL 2021-12.04.2021-2
A.

45

B.

50

C.

55

D.

40

ANSWER :

B. 50

5.

If (a + b + c) = 0 and abc = 12, then what is the value of (a3 + b3 + c3)?


SSC CHSL 2021-12.04.2021-2
A.

6

B.

12

C.

72

D.

36

ANSWER :

D. 36

6.
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600 ?
SSC CHSL 2021-12.04.2021-2
A.
-118.6
B.
181.6
C.
-181.6
D.
118.6
ANSWER :
A. -118.6