Algebra questions for competitive exams SSC CGL Set 6 | Suresolv

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SSC CGL level Question Set 13, Algebra

Algebra questions for competitive exams SSC CGL Algebra Set 6

Algebra questions for competitive exams SSC CGL Algebra set 6

Solve 10 algebra questions for competitive exams SSC CGL Set 6 in 12 minutes and verify from answers. Learn how to solve quick from paired solution set 6.

For best results, take the timed test first, score your answers with 1 mark for each correct answer and negative 0.25 for each wrong answer and then how to solve the questions in time from the paired solution set.

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

Now set your time on and start.


10 Algebra questions for competitive exams SSC CGL Algebra Set 6 - time to solve 12 mins

Q1. The value of $\sqrt{(x - 2)^2} + \sqrt{(x - 4)^2}$, where $2\lt{x}\lt{3}$, is,

  1. $2x - 6$
  2. 3
  3. 2
  4. 4

Q2. If $x = 10^{0.48}$, $y = 10^{0.70}$ and $x^z = y^2$, then approximate value of $z$ is

  1. 1.88
  2. 2.9
  3. 3.7
  4. 1.45

Q3. If $\displaystyle\frac{a}{1 - a} + \displaystyle\frac{b}{1 - b} + \displaystyle\frac{c}{1 - c} = 1$, thenĀ  the value of $\displaystyle\frac{1}{1 - a} + \displaystyle\frac{1}{1 - b} + \displaystyle\frac{1}{1 - c}$,

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

Q4. If $x$ is real then the minimum value of $4x^2 - x - 1$ is,

  1. $\displaystyle\frac{5}{8}$
  2. $-\displaystyle\frac{15}{16}$
  3. $\displaystyle\frac{15}{16}$
  4. $-\displaystyle\frac{17}{16}$

Q5. If $9\sqrt{x} = \sqrt{12} + \sqrt{147}$ then the value of $x$ is,

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

Q6. If $a$ and $b$ are positive integers such that $a^2 - b^2 = 19$ then $a$ is,

  1. 8
  2. 0
  3. 9
  4. 10

Q7. If $ax^2 + bx + c = a(x - p)^2$, then the relation between $a$, $b$ and $c$ can be expressed as,

  1. $b^2 = ac$
  2. $abc = 1$
  3. $2b = a + c$
  4. $b^2 = 4ac$

Q8. If $x = 5 - \sqrt{21}$, then value of $\displaystyle\frac{\sqrt{x}}{\sqrt{32 - 2x} - \sqrt{21}}$ is,

  1. $\displaystyle\frac{1}{\sqrt{2}}(\sqrt{3} - \sqrt{7})$
  2. $\displaystyle\frac{1}{\sqrt{2}}(\sqrt{7} - \sqrt{3})$
  3. $\displaystyle\frac{1}{\sqrt{2}}(\sqrt{7} + \sqrt{3})$
  4. $\displaystyle\frac{1}{\sqrt{2}}(3 + \sqrt{7})$

Q9. If $a^{\frac{1}{3}} = 11$ then $a^2 - 331a$ is

  1. 1331331
  2. 1334331
  3. 1331000
  4. 1330030

Q10. If $a = \displaystyle\frac{xy}{x + y}$, $b = \displaystyle\frac{xz}{x + z}$ and $c = \displaystyle\frac{yz}{y + z}$, where $a$, $b$ and $c$ are all non-zero numbers, then the value of $x$ is,

  1. $\displaystyle\frac{2abc}{ab + ac - bc}$
  2. $\displaystyle\frac{2abc}{ab + bc - ac}$
  3. $\displaystyle\frac{2abc}{ab + bc + ac}$
  4. $\displaystyle\frac{2abc}{ac + bc - ab}$

Answers to 10 Algebra questions for competitive exams SSC CGL Algebra Set 6

Q1. Answer: Option c: 2.

Q2. Answer: Option b : 2.9.

Q3. Answer: Option b: 2.

Q4. Answer: Option d: $-\displaystyle\frac{17}{16}$.

Q5. Answer: Option a: 3.

Q6. Answer: Option d : 10.

Q7. Answer: Option d: $b^2=4ac$.

Q8. Answer: Option b: $\displaystyle\frac{1}{\sqrt{2}}(\sqrt{7} - \sqrt{3})$.

Q9. Answer: Option c: 1331000.

Q10. Answer: Option d: $\displaystyle\frac{2abc}{ac + bc - ab}$.


Solutions to the questions

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SSC CGL Algebra solutions for competitive exams Set 6.


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