SSC CGL level Question Set 81, Algebra 17 | SureSolv

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SSC CGL level Question Set 81, Algebra 17

81st SSC CGL level Question Set, 17th on Algebra

SSC CGL question set 81 algebra 17

This is the 81st question set of 10 practice problem exercise for SSC CGL exam and the 17th on topic Algebra. For maximum gains, the test should be taken first and then the corresponding solution set should be referred to.

Answers and solution link are at the end.

Before taking the test you may like to refer to our concept tutorials on Algebra and other related topics,

Basic and rich Algebraic concepts for elegant solutions of SSC CGL problems,

More Basic and rich Algebraic concepts for elegant solutions of SSC CGL problems

SSC CGL level difficult Algebra problem solving by Componendo dividendo.


81st question set - 10 problems for SSC CGL exam: 17th on topic Algebra - answering time 12 mins

Q1. If $x+\displaystyle\frac{1}{x}=3$, then value of $x^8+\displaystyle\frac{1}{x^8}$ is,

  1. 2213
  2. 2207
  3. 2201
  4. 2203

Q2. If $(x-4)(x^2+4x+16)=x^3-p$, then value of $p$ is,

  1. 27
  2. 0
  3. 8
  4. 64

Q3. If $a+b+c=15$ and $\displaystyle\frac{1}{a}+\displaystyle\frac{1}{b}+\displaystyle\frac{1}{c}=\displaystyle\frac{71}{abc}$, then the value of $a^3+b^3+c^3-3abc$ is,

  1. 180
  2. 160
  3. 220
  4. 200

Q4. If $x=12$, and $y=4$, then the value of $(x+y)^{\displaystyle\frac{x}{y}}$ is,

  1. 570
  2. 48
  3. 1792
  4. 4096

Q5. If $xy+yz+zx=1$, then the value of $\displaystyle\frac{1+y^2}{(x+y)(y+z)}$ is,

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

Q6. If $x+y+z=0$, then the value of $\displaystyle\frac{x^2}{3z}+\displaystyle\frac{y^3}{3xz}+\displaystyle\frac{z^2}{3x}$ is,

  1. $0$
  2. $3y$
  3. $y$
  4. $xz$

Q7. If the expression $(px^3-2x^2-qx+18)$ is completely divisible by $(x^2-9)$, then the ratio of $p$ to $q$ is,

  1. 9 : 1
  2. 1 : 9
  3. 3 : 1
  4. 1 : 3

Q8. If $\displaystyle\frac{x}{3}+\displaystyle\frac{3}{x}=1$, then the value of $x^3$ is,

  1. $0$
  2. $27$
  3. $-27$
  4. $1$

Q9. If $\displaystyle\frac{1}{x}+\displaystyle\frac{1}{y}+\displaystyle\frac{1}{z}=0$ and $x+y+z=9$, then the value of $x^3+y^3+z^3-3xyz$ is,

  1. 81
  2. 6561
  3. 729
  4. 361

Q10. If $a(a+b+c)=45$, $b(a+b+c)=75$ and $c(a+b+c)=105$, then the value of $a^2+b^2+c^2$ is,

  1. 75
  2. 83
  3. 225
  4. 217

Detailed solution to the questions are available at,

SSC CGL Level Solution set 81 Algebra 17.

You may also watch the video solutions in the two-part video.

Part 1: Q1 to Q5

Part 2: Q6 to Q10


Answers to the questions

Problem 1. Answer: Option b: 2207.

Problem 2. Answer: Option d : 64.

Problem 3. Answer: Option a: 180.

Problem 4. Answer: Option d: 4096.

Problem 5. Answer: Option a: 1.

Problem 6. Answer: Option c : $y$.

Problem 7. Answer: Option b: 1 : 9.

Problem 8. Answer: Option c: $-27$.

Problem 9. Answer: Option c: 729.

Problem 10. Answer: Option b: 83.


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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