Simplification SSC CHSL Questions

Simplification MCQ Questions

1.
If x² - \(6\sqrt{3}\) + 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:
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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 ?
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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) ?
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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 ?
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A.
-118.6
B.
181.6
C.
-181.6
D.
118.6
ANSWER :
A. -118.6