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SSC CGL Tier II level Question Set 1, Algebra 1

Hand-picked Algebra Questions for SSC CGL Tier 2 Set 1

Algebra questions for SSC CGL Tier 2 Set 1 with answers

Algebra questions for SSC CGL Tier 2 Set 1 contains 10 chosen algebra questions to solve in 12 mins. It's not easy, but you may learn how from solutions.

After taking the test verify your score from answers given. Then clear any doubts and learn how to solve the questions quickly from linked solution set.

Answers and link to the solutions are at the end.


10 algebra questions for SSC CGL Tier 2 Set 1 - answering time 12 mins

Q1. Find the maximum value of the expression $(p^2 +7p+13)^{-1}$.

  1. $\displaystyle\frac{5}{7}$
  2. $\displaystyle\frac{4}{3}$
  3. $20$
  4. $\displaystyle\frac{3}{7}$

Q2. If $n=7+3\sqrt{5}$, then the value of $\left(\sqrt{n} + \displaystyle\frac{1}{\sqrt{n}}\right)$ is,

  1. $\displaystyle\frac{5}{7}$
  2. $\displaystyle\frac{7}{12}$
  3. $\displaystyle\frac{9+\sqrt{5}}{2\sqrt{2}}$
  4. $\displaystyle\frac{\sqrt{5}}{2\sqrt{2}}$

Q3. If $x=20$, $y=19$, the value of $\displaystyle\frac{x^2+y^2+xy}{x^3-y^3}$ is,

  1. $35$
  2. $1$
  3. $324$
  4. $365$

Q4. If $p + \displaystyle\frac{2p}{3} + \displaystyle\frac{p}{2} +\displaystyle\frac{p}{7}=97$, then the value of $p$ is,

  1. 46
  2. 44
  3. 40
  4. 42

Q5. If $p=1+\sqrt{2}+\sqrt{3}$, then $\left(p+\displaystyle\frac{1}{p-1}\right)$ is,

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

Q6. If $(x+y) : (y+z) : (z+x) = 6 : 7 : 8$ and $x+y+z=14$, then value of $z$ is,

  1. 6
  2. 14
  3. 8
  4. 7

Q7. If $x=\displaystyle\frac{\sqrt{2}+1}{\sqrt{2}-1}$ and $xy=1$ find the value of $\displaystyle\frac{2x^2+3xy+2y^2}{2x^2-3xy+2y^2}$.

  1. $\displaystyle\frac{71}{65}$
  2. $\displaystyle\frac{7}{12}$
  3. $\displaystyle\frac{65}{71}$
  4. $\displaystyle\frac{72}{7}$

Q8. If $x=\displaystyle\frac{a+b}{1-ab}$ and $y=\displaystyle\frac{a-b}{1+ab}$ then the value of $\displaystyle\frac{x+y}{1-xy}$ is,

  1. $\displaystyle\frac{a}{1+b^2}$
  2. $\displaystyle\frac{2a}{1+b}$
  3. $\displaystyle\frac{2a}{1-a^2}$
  4. $\displaystyle\frac{2a}{1+a^2}$

Q9. If $x+\displaystyle\frac{1}{x}=-2$, then the value of $x^{2n+1}+\displaystyle\frac{1}{x^{2n+1}}$ where $n$ is a positive integer is,

  1. $0$
  2. $2$
  3. $-5$
  4. $-2$

Q10. If $x=5^{n-1} +5^{-n-1}$ where $n$ is real, the minimum value of $x$ is,

  1. $10$
  2. $\displaystyle\frac{5}{2}$
  3. $2$
  4. $\displaystyle\frac{2}{5}$

Learn to solve quick from,

SSC CGL Tier II level Solution set 1 Algebra 1.


Answers to the algebra questions for SSC CGL Tier 2

Problem 1. Answer: Option b: $\displaystyle\frac{4}{3}$.

Problem 2. Answer: Option c : $\displaystyle\frac{9+\sqrt{5}}{2\sqrt{2}}$.

Problem 3. Answer: Option b: 1.

Problem 4. Answer: Option d: 42.

Problem 5. Answer: Option a: $1+2\sqrt{3}$.

Problem 6. Answer: Option a : 6.

Problem 7. Answer: Option a: $\displaystyle\frac{71}{65}$.

Problem 8. Answer: Option c: $\displaystyle\frac{2a}{1-a^2}$.

Problem 9. Answer: Option d: -2.

Problem 10. Answer: Option d: $\displaystyle\frac{2}{5}$.


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