SSC CGL level Question Set 33, Algebra

Quantitative aptitude questions on algebra with answers: SSC CGL Set 33

Solve 10 selected quantitative aptitude questions on algebra SSC CGL Set 33 in 12 minutes. Verify from answers. Learn to solve from paired solutions.

Answers and link to the quick solutions are at the end.

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10 Quantitative aptitude questions on algebra: SSC CGL Set 33 - answering time 15 mins

Q1. If $x = 2.361$, $y=3.263$, and $z=5.624$, then the value of $x^3 + y^3 - z^3 + 3xyz$ is,

1. 35.621
2. 1
3. 0
4. 19.277

Q2. If $6 + \displaystyle\frac{1}{x}=x$, then the value of $x^4 + \displaystyle\frac{1}{x^4}$ is,

1. 1444
2. 1442
3. 1448
4. 1446

Q3. If $x^2 + \displaystyle\frac{1}{x^2} = 66$, then the value of $\displaystyle\frac{x^2 - 1 + 2x}{x}$ is,

1. $\pm{8}$
2. $6, -10$
3. $10, -6$
4. $\pm{4}$

Q4. Find the minimum value of $2x^2 - (x - 3)(x + 5)$, where $x$ is real,

1. 20
2. 14
3. -12
4. 8

Q5. If $x+y=7$ then the value of $x^3 + y^3 + 21xy$ is,

1. 243
2. 143
3. 443
4. 343

Q6. If $x=\displaystyle\frac{\sqrt{3}}{2}$ then the value of $\displaystyle\frac{\sqrt{1+x} + \sqrt{1-x}}{\sqrt{1+x} - \sqrt{1-x}}$ will be,

1. $-\sqrt{3}$
2. $1$
3. $\sqrt{3}$
4. $-1$

Q7. If $p^3 + 3p^2 + 3p = 7$ then the value of $p^2 + 2p$ is,

1. 3
2. 4
3. 5
4. 6

Q8. If $\left(x + \displaystyle\frac{1}{x}\right)^2 = 3$ then the value of $(x^{72} + x^{66} + x^{54} + x^{36} + x^{24} + x^6 + 1)$ is,

1. 4
2. 2
3. 3
4. 1

Q9. If $a^2 + b^2 + c^2 = 2(a -b -c) -3$, then $4a - 3b + 5c$ is,

1. 3
2. 2
3. 5
4. 6

Q10. If $3x + \displaystyle\frac{1}{2x} = 5$, then the value of $8x^3 + \displaystyle\frac{1}{27x^3}$ is,

1. $118\frac{1}{2}$
2. $0$
3. $30\frac{10}{27}$
4. $1$

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Solutions to the problems

Know how to solve the questions quickly at,

SSC CGL level Solution Set 33 on Algebra.

Answers to the quantitative aptitude questions on algebra SSC CGL Set 33

Q1. Answer: Option c: 0.

Q2. Answer: Option b : 1442.

Q3. Answer: Option c: $10, -6$.

Q4. Answer: Option b: 14.

Q5. Answer: Option d: 343.

Q6. Answer: Option c : $\sqrt{3}$.

Q7. Answer: Option a: 3.

Q8. Answer: Option d: 1.

Q9. Answer: Option b: 2.

Q10. Answer: Option c: $30\frac{10}{27}$.

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