Algebra questions and answers for competitive exams SSC CGL 51

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SSC CGL level Question Set 51, Algebra 12

Algebra questions and answers for competitive exams SSC CGL 51

Algebra questions and answers for competitive exams - SSC CGL test set 51

Algebra questions and answers for competitive exams, practice set 51 specially for SSC CGL. Take the test, verify answers and clear doubts from solutions.

Take the timed test, score your performance from the answers and then clear doubts from the solution set. Link is at the end.

Answering quantitative algebra questions is not the same as in a school test. Quick and correct answer is the key to success in such exams. You will have maximum 1 minute to 90 seconds for answering a question.

Speed of answer, accuracy and strategy are the three key elemets for success in any MCQ test.


Algebra questions for competitive exams - SSC CGL test set 51 - time to answer 12 mins

Problem 1.

If $x^2=y+z$, $y^2=z+x$ and $z^2=x+y$, the value of $\displaystyle\frac{1}{x+1}+\displaystyle\frac{1}{y+1}+\displaystyle\frac{1}{z+1}$ is,

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

Problem 2.

If $a^2+b^2+c^2+3=2(a+b+c)$ then the value of $(a+b+c)$ is,

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

Problem 3.

If $a^2-4a-1=0$, then the value of $a^2+\displaystyle\frac{1}{a^2}+3a-\displaystyle\frac{3}{a}$ is,

  1. 40
  2. 35
  3. 30
  4. 25

Problem 4.

If $x+\displaystyle\frac{1}{x}=99$, find the value of $\displaystyle\frac{100x}{2x^2+102x+2}$.

  1. $\displaystyle\frac{1}{6}$
  2. $\displaystyle\frac{1}{3}$
  3. $\displaystyle\frac{1}{2}$
  4. $\displaystyle\frac{1}{4}$

Problem 5.

If $\sqrt{1+\displaystyle\frac{x}{961}}=\displaystyle\frac{32}{31}$, then the value of $x$ is,

  1. 63
  2. 64
  3. 61
  4. 65

Problem 6.

If $1.5a=0.04b$ then the value of $\displaystyle\frac{b-a}{b+a}$ will be equal to,

  1. $\displaystyle\frac{73}{77}$
  2. $\displaystyle\frac{75}{2}$
  3. $\displaystyle\frac{2}{75}$
  4. $\displaystyle\frac{77}{33}$

Problem 7.

The value of the expression, $\displaystyle\frac{(a-b)^2}{(b-c)(c-a)}+\displaystyle\frac{(b-c)^2}{(a-b)(c-a)}+\displaystyle\frac{(c-a)^2}{(a-b)(b-c)}$ is,

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

Problem 8.

If $9\sqrt{x}=\sqrt{12}+\sqrt{147}$, then $x$ is,

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

Problem 9.

If $p:q=r:s=t:u=2:3$ then $(mp+nr+ot):(mq+ns+ou)$ is equal to,

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

Problem 10.

If $\displaystyle\frac{1}{a+1}+\displaystyle\frac{1}{b+1}+\displaystyle\frac{1}{c+1}=2$ then $a^2+b^2+c^2$ is,

  1. $\displaystyle\frac{3}{4}$
  2. $\displaystyle\frac{1}{3}$
  3. $\displaystyle\frac{27}{16}$
  4. $\displaystyle\frac{4}{3}$

Answers to the questions

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

Problem 2. Answer: Option b : 3.

Problem 3. Answer: Option c: 30.

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

Problem 5. Answer: Option a: 63.

Problem 6. Answer: Option a : $\displaystyle\frac{73}{77}$.

Problem 7. Answer: Option b: $3$.

Problem 8. Answer: Option c: 3.

Problem 9. Answer: Option a: 2 : 3.

problem 10. Answer: Option a: $\displaystyle\frac{3}{4}$.


Solutions to the problems

For detailed conceptual solutions with answers you should refer to the companion SSC CGL level Solution Set 51 on Algebra 12 where you will get detailed explanations on easiest path to the solutions.


Guided help on Algebra in Suresolv

To get the best results out of the extensive range of articles of tutorials, questions and solutions on Algebra in Suresolv, follow the guide,

Suresolv Algebra Reading and Practice Guide for SSC CHSL, SSC CGL, SSC CGL Tier II and Other Competitive exams.

The guide list of articles includes ALL articles on Algebra in Suresolv and is up-to-date.


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