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SSC CGL Tier II level Question Set 2, Algebra 2

Algebra Questions with Answers for SSC CGL Tier 2 Set 2

SSC CGL Tier II Algebra Questions with Answers

Algebra questions for SSC CGL Tier 2 Set 2 has 10 chosen algebra questions to solve in 12 mins. Verify your mini-mock test performance from answers given.

Answers and link to the solutions are at the end. You will learn how to solve the questions very quickly from the solutions.

Now take the timed mini-mock test.


10 Algebra questions for SSC CGL Set 2 - answering time 12 mins

Q1. The number of possible values of $x$ in the equation, $\sqrt{x^2-x+1} +\displaystyle\frac{1}{\sqrt{x^2-x+1}}=2-x^2$ is,

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

Q2. If $p+\displaystyle\frac{1}{p}=5$, then the value of $\displaystyle\frac{p^4+\displaystyle\frac{1}{p^2}}{p^2-3p+1}$ is,

  1. 50
  2. 55
  3. 70
  4. 110

Q3. If $\sqrt{4x-9} + \sqrt{4x+9}=5 + \sqrt{7}$, find the value of $x$.

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

Q4. If $\sqrt{2x} - \sqrt{3y}=0$ and $\sqrt{7x} + \sqrt{2y}=0$ then the value of $x+y$ is,

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

Q5. Find the remainder when $x^5-9x^2+12x-14$ is divided by $(x-3)$.

  1. 56
  2. 184
  3. 0
  4. 1

Q6. If $a + \displaystyle\frac{1}{b}=1$ and $b + \displaystyle\frac{1}{c}=1$, then value of $c + \displaystyle\frac{1}{a}$ is,

  1. $1$
  2. $0$
  3. $2$
  4. $\displaystyle\frac{1}{2}$

Q7. If $a:b=\displaystyle\frac{2}{9}:\displaystyle\frac{1}{3}$, $b:c=\displaystyle\frac{2}{7}:\displaystyle\frac{5}{14}$ and $d:c=\displaystyle\frac{7}{10}:\displaystyle\frac{3}{5}$ find the value of $a:b:c:d$.

  1. $8:12:15:7$
  2. $4:6:7:9$
  3. $30:35:24:16$
  4. $16:24:30:35$

Q8. If $a$ and $b$ are the roots of the equation $3x^2+2x+1=0$, which of the equations will have the roots, $\displaystyle\frac{1-a}{1+a}$ and $\displaystyle\frac{1-b}{1+b}$?

  1. $y^2-2y+3=0$
  2. $y^2+2y-3=0$
  3. $y^2-2y-3=0$
  4. $y^2+2y+3=0$

Q9. If $2x^2-7xy+3y^2=0$, then the value of $x:y$ is,

  1. $3:2$
  2. $5:6$
  3. $2:3$
  4. $3:1$ and $1:2$

Q10. Find the value of $\alpha$ when the expression $\displaystyle\frac{x^2}{y^2} + {\alpha}x+\displaystyle\frac{y^2}{4}$ is a perfect square.

  1. $\pm{1}$
  2. $0$
  3. $\pm{2}$
  4. $\pm{7}$

To know how to solve the 10 questions very quickly go through our solutions to the questions at,

Algebra solutions for SSC CGL Tier 2 Set 2.


Answers to the Algebra questions for SSC CGL Tier 2 Set 2

Problem 1: Answer: Option a: 1.

Problem 2: Answer: Option b : 55.

Problem 3: Answer: Option b: 4.

Problem 4: Answer: Option d: 0.

Problem 5: Answer: Option b: 184.

Problem 6: Answer: Option a : 1.

Problem 7: Answer: Option d: $16:24:30:35$.

Problem 8: Answer: Option a: $y^2-2y+3=0$.

Problem 9: Answer: Option d: $3:1$ and $1:2$.

Problem 10: Answer: Option a: $\pm {1}$.


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