SSC CGL level Question Set 45, Algebra 11

MCQ Algebra Questions for SSC CGL Set 11

Solve 10 MCQ algebra questions for competitive exams SSC CGL Set 11 in twelve minutes. Verify your efforts from answers and learn to solve from solution.

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10 MCQ algebra questions for competitive exams SSC CGL set 11 - time to answer 12 mins

Problem 1.

If $\displaystyle\frac{5x}{2x^2+5x+1}=\frac{1}{3}$, then the value of $\left(x+\displaystyle\frac{1}{2x}\right)$ is,

1. 5
2. 10
3. 15
4. 20

Problem 2.

If $x^2+1=2x$, then the value of $\displaystyle\frac{x^4+\displaystyle\frac{1}{x^2}}{x^2-3x+1}$ is,

1. $1$
2. $-2$
3. $0$
4. $2$

Problem 3.

If $x^3+\displaystyle\frac{3}{x}=4(a^3+b^3)$ and $3x+\displaystyle\frac{1}{x^3}=4(a^3-b^3)$ then $a^2-b^2$ is equal to,

1. $1$
2. $0$
3. $4$
4. $2$

Problem 4.

If $ab + bc+ca=0$, then the value of $\displaystyle\frac{1}{a^2-bc} +\displaystyle\frac{1}{b^2-ac}+\displaystyle\frac{1}{c^2-ab}$ is,

1. $0$
2. $1$
3. $-1$
4. $2$

Problem 5.

If $x$ is a rational number and $\displaystyle\frac{(x+1)^3-(x-1)^3}{(x+1)^2-(x-1)^2}=2$ then the sum of numerator and denominator of $x$ is,

1. $7$
2. $4$
3. $5$
4. $3$

Problem 6.

If $a+b+c=0$ then the value of $(a+b-c)^2+(b+c-a)^2+(c+a-b)^2$ will be equal to,

1. $4(a^2+b^2+c^2)$
2. $4(ab+bc+ca)$
3. $0$
4. $8abc$

Problem 7.

If $x^2+y^2=5xy$, ,then the value of $\left(\displaystyle\frac{x^2}{y^2}+\displaystyle\frac{y^2}{x^2}\right)$ is equal to,

1. $32$
2. $16$
3. $-23$
4. $23$

Problem 8.

If $x+\displaystyle\frac{2}{x}=1$, then tne value of $\displaystyle\frac{x^2+x+2}{x^2(x-1)}$ is,

1. $2$
2. $1$
3. $-1$
4. $-2$

Problem 9.

If $\displaystyle\frac{1}{\sqrt[3]{4} + \sqrt[3]{2} +1}=a\sqrt[3]{4}+b\sqrt[3]{2}+c$ and $a$, $b$ and $c$ are rational numbers, then $a+b+c$ is equal to,

1. 1
2. 3
3. 0
4. 2

Problem 10.

If $x=7+4\sqrt{3}$ then the value of $\left(\sqrt{x}+\displaystyle\frac{1}{\sqrt{x}}\right)$ is,

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

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Answers to the 10 MCQ algebra questions for competitive exams SSC CGL set 11

Problem 1. Answer: Option a: 5.

Problem 2. Answer: Option b : $-2$.

Problem 3. Answer: Option a: $1$.

Problem 4. Answer: Option a: $0$.

Problem 5. Answer: Option b: $4$.

Problem 6. Answer: Option a : $4(a^2+b^2+c^2)$.

Problem 7. Answer: Option d: $23$.

Problem 8. Answer: Option c: $-1$.

Problem 9. Answer: Option c: 0.

Problem 10. Answer: Option a: $4$.

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Solution to the problems

Learn how to solve the questions quickly from the companion solution set at,

SSC CGL level Solution Set 45 on Algebra.

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