Questions on Algebra for SSC CGL Set 81 with answers | Suresolv

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SSC CGL level Question Set 81, Algebra 17

Questions on Algebra for SSC CGL Set 81 with answers

Questions on Algebra for SSC CGL Set 81 with answers

Solve 10 Questions on Algebra for SSC CGL Set 81 in 12 minutes. Verify solutions from answers. Learn to solve quickly the right way from paired solutions.

These questions may be difficult to solve in 12 minutes.

Answers and link to the quick solutions are at the end.


10 Questions on Algebra for SSC CGL Set 81 - 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

Learn to solve the questions quickly at,

SSC CGL Level Solution set 81 Algebra 17.


Answers to the questions on algebra for SSC CGL Set 81

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.


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