Algebra SSC CHSL Questions

SSC CHSL-Quantitative Aptitude

Algebra MCQ Questions


1.
Simplify the following expression:
\((2x - 3y)^3 - 18xy(2x - 3y)\)
SSC CHSL 2021-12.04.2021-1
A.
\(8x^3 - 27y^3 - 36x^2y - 54xy^2\)
B.
\(8x^3 - 72x^2y + 108xy^2 - 27y^3\)
C.
\(8x^3 - 27y^3\)
D.
\(8x^3 + 108xy^2 - 72x^2y\)
😑 View Answer Rough Work Error
ANSWER :
B. \(8x^3 - 72x^2y + 108xy^2 - 27y^3\)
2.
Solve the following equation.
\(\theta : 2\cos^{2}\theta + (4+\sqrt{3})\sin\theta - 2(1+\sqrt{3}) = 0\)
where θ is an acute angle.
SSC CHSL 2021-13.04.2021-3
A.
30°
B.
45°
C.
15°
D.
60°
😑 View Answer Rough Work Error
ANSWER :
D. 60°
3.
solve the following equation.
\(2\sqrt{3}\sin^{2}\theta+\cos\theta-\sqrt{3}=0\)where θ is an acute angle.
SSC CHSL 2021-19.04.2021-3
A.
30°
B.
45°
C.
60°
D.
15°
😑 View Answer Rough Work Error
ANSWER :
A. 30°
4.
Using algebraic identities, simplify the following expression.
\(\dfrac{x^{4}+x^{2}+1}{x^{2}+x+1}\)


SSC CHSL 2021-04.08.2021-1
A.
\((x^{2}-2x+1)\)
B.
\((x^{2}+x+1)\)
C.
\((x^{2}+2x+1)\)
D.
\((x^{2}-x+1)\)
😑 View Answer Rough Work Error
ANSWER :
D. \((x^{2}-x+1)\)
5.
If a + b = p, ab = q, then (a⁴ + b⁴) is equal to:
SSC CHSL 2021-04.08.2021-1
A.
p⁴ − 2p²q2 + 2q²
B.
p⁴ − 4p²q2 + 2q²
C.
p⁴ − 4p²q + 2q²
D.
p⁴ − 2p²q + 2q²
😑 View Answer Rough Work Error
ANSWER :
D. p⁴ − 2p²q + 2q²
6.
Solve the following equation and find the value of θ.
3 cotθ + tanθ - 2\(\sqrt{3}\) = 0, 0<θ<90°
SSC CHSL 2021-04.08.2021-2
A.
30°
B.
45°
C.
60°
D.
15°
😑 View Answer Rough Work Error
ANSWER :
C. 60°