SSC CGL level Question Set 9, Algebra | SureSolv

You are here

For guided learning and practice on Geometry, follow Comprehensive Suresolv Geometry Guide with all articles

SSC CGL level Question Set 9, Algebra

Ninth SSC CGL level Question Set, topic Algebra

SSC CGL level Algebra Question Set 9

This is the ninth question set of 10 practice problem exercise on topic Algebra for SSC CGL exam. Students must complete this set in prescribed time first and then only refer to the corresponding solution set.

It is emphasized here that answering in MCQ test is not at all the same as answering in a school test where you need to derive the solution in perfectly elaborated steps.

In MCQ test instead, you need basically to deduce the answer in shortest possible time and select the right choice. None will ask you about what steps you followed.

Based on our analysis and experience we have seen that, for accurate and quick answering, the student

  • must have complete understanding of the basic concepts of the topics
  • is adequately fast in mental math calculation
  • should first try to solve each problem using the most basic concepts in the specific topic area and
  • does most of the deductive reasoning and calculation in his or her head rather than on paper.

Actual problem solving happens in last step above. How to do that?

You need to use your your problem solving abilities only. There is no other recourse.

Before taking the test you may like to refer to our concept tutorials on Algebra,

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.


Ninth question set on Algebra - 10 problems for SSC CGL exam - time 12 mins

Q1. If $a -2b = 4$, then the value of the expression $a^3 - 8b^3 -24ab -64$ is,

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

Q2. If $x + \displaystyle\frac{1}{x} = 4$, then $x^4 + \displaystyle\frac{1}{x^4}$ is,

  1. 124
  2. 194
  3. 64
  4. 81

Q3. If $x^2 = y + z$, $y^2= z + x$ and $z^2 = x + y$, then the value of $\displaystyle\frac{1}{x + 1} + \displaystyle\frac{1}{y + 1}  + \displaystyle\frac{1}{z + 1} $ is,

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

Q4. If $x = 7 - 4\sqrt{3}$, then $x^{\frac{1}{2}} + x^{\frac{-1}{2}}$ is, 

  1. $4$
  2. $3\sqrt{3}$
  3. $7$
  4. $2\sqrt{3}$

Q5. $(y -z)^3 + (z -x)^3 + (x -y)^3$ is equal to,

  1. $(x - y)(y + z)(x - z)$
  2. $(y - z)(z + x)(y - x)$
  3. $(y - z)(z - x)(x - y)$
  4. $3(y - z)(z - x)(x - y)$

Q6. The sum of $\displaystyle\frac{a}{b}$ and its reciprocal is 1 and $a\neq{0}$, $b\neq{0}$. The value of $a^3 + b^3$ is,

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

Q7. If $ x = b + c - 2a$, $y = c + a - 2b$ and $z = a + b -2c$, then the value of $x^2 + y^2 - z^2 + 2xy$ is,

  1. $a + b + c$
  2. $0$
  3. $a - b + c$
  4. $a + b - c$

Q8. If $x = \displaystyle\frac{4ab}{a + b}$, where $a\neq{b}$, then the value of, $\displaystyle\frac{x + 2a}{x - 2a} + \displaystyle\frac{x + 2b}{x - 2b}$ is,

  1. a
  2. 2
  3. 2ab
  4. b

Q9. If $x = 3 + 2\sqrt{2}$ then the value of $\left(\sqrt{x} - \displaystyle\frac{1}{\sqrt{x}}\right)$ is,

  1. $2\sqrt{3}$
  2. $3\sqrt{3}$
  3. 2
  4. 1

Q10. If $x = 2 - 2^{\frac{1}{3}}  + 2^{\frac{2}{3}}$, then the value of $x^3 - 6x^2 + 18x + 18$ is,

  1. 40
  2. 33
  3. 22
  4. 45

Solutions to the problems

For detailed conceptual solutions with answers you should refer to the companion SSC CGL level Solution Set 9 on Algebra.

Video

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

Part I Q1 to Q5

Part II: Q6 to Q10


Guided help on Suresolv Algebra

All Suresolv Algebra articles are listed with links at the end, but it is unguided list.

To use this extensive range of articles on quick algebra problem solving effectively, follow the guide,

5 step Suresolv Algebra Reading and Practice Guide for SSC CGL Tier II and Other competitive exams.

Basically, it is how to read and practice Suresolv Algebra guide.

This contains even list of puzzles or even high school math articles on Algebra.

Wish you all the sure success.


Resources on Algebra that you may find valuable

Concept tutorials on Algebra and related topics

Basic and rich algebraic concepts for elegant solutions of SSC CGL problems

More rich algebraic concepts and techniques for elegant solutions of SSC CGL problems

SSC CGL level difficult Algebra problem solving by Componendo dividendo

Proof of least value of sum of reciprocals for any number of positive variables

How to factorize 25 selected quadratic equations quickly by factor analysis

General guidelines for successful performance in SSC CGL test

7 Steps for sure success in SSC CGL tier 1 and tier 2 competitive tests

Difficult algebra problem solving in a few steps

How to solve difficult algebra problems in a few steps

SSC CGL Tier II level question and solution sets on Algebra

SSC CGL Tier II level Solved Question Set 30, Algebra 7

SSC CGL Tier II level Solution Set 17, Algebra 6

SSC CGL Tier II level Question Set 17, Algebra 6

SSC CGL Tier II level Question Set 14, Algebra 5

SSC CGL Tier II level Solution Set 14, Algebra 5

SSC CGL Tier II level Question Set 9, Algebra 4

SSC CGL Tier II level Solution Set 9, Algebra 4

SSC CGL Tier II level Question Set 3, Algebra 3

SSC CGL Tier II level Solution Set 3, Algebra 3

SSC CGL Tier II level Question Set 2, Algebra 2

SSC CGL Tier II level Solution Set 2, Algebra 2

SSC CGL Tier II level Question Set 1 Algebra 1

SSC CGL Tier II level Solution Set 1, Algebra 1

SSC CGL level question and solution sets on Algebra

SSC CGL level Solved Question Set 90, Algebra 18

SSC CGL level Question Set 81, Algebra 17

SSC CGL level Solution Set 81, Algebra 17

SSC CGL level Question Set 74, Algebra 16

SSC CGL level Solution Set 74, Algebra 16

SSC CGL level Question Set 64, Algebra 15

SSC CGL level Solution Set 64, Algebra 15

SSC CGL level Question Set 58, Algebra 14

SSC CGL level Solution Set 58, Algebra 14

SSC CGL level Question Set 57, Algebra 13

SSC CGL level Solution Set 57, Algebra 13

SSC CGL level Question Set 51, Algebra 12

SSC CGL level Solution Set 51, Algebra 12

SSC CGL level Question Set 45, Algebra 11

SSC CGL level Solution Set 45, Algebra 11

SSC CGL level Question Set 35, Algebra 10

SSC CGL level Solution Set 35, Algebra 10

SSC CGL level Question Set 33, Algebra 9

SSC CGL level Solution Set 33, Algebra 9

SSC CGL level Question Set 23, Algebra 8

SSC CGL level Solution Set 23, Algebra 8

SSC CGL level Question Set 22, Algebra 7

SSC CGL level Solution Set 22, Algebra 7

SSC CGL level Question Set 13, Algebra 6

SSC CGL level Solution Set 13, Algebra 6

SSC CGL level Question Set 11, Algebra 5

SSC CGL level Solution Set 11, Algebra 5

SSC CGL level Question Set 10, Algebra 4

SSC CGL level Solution Set 10, Algebra 4

SSC CGL level Question Set 9, Algebra 3

SSC CGL level Solution Set 9, Algebra 3

SSC CGL level Question Set 8, Algebra 2

SSC CGL level Solution Set 8, Algebra 2

SSC CGL level Question Set 1, Algebra 1

SSC CGL level Solution Set 1, Algebra 1

SSC CPO CAPF CISF level Solved Question sets on Algebra

SSC CPO level Solved Question Set 1 Algebra 1

SSC CPO level Solved Question Set 2 Algebra 2

SSC CHSL level Solved Question Sets on Algebra

SSC CHSL level Solved Question set 11 on Algebra 1

SSC CHSL level Solved Question set 12 on Algebra 2

SSC CHSL level Solved Question set 13 on Algebra 3

SSC CHSL level Solved Question set 14 on Algebra 4


Getting content links in your mail

You may get link of any content published


Share