SSC CGL level Question Set 74, Algebra 16 | SureSolv

You are here

For guided learning and practice on Fractions, Surds and Indices follow Comprehensive Guide on Fractions, Surds and Indices with all articles listed

SSC CGL level Question Set 74, Algebra 16

74th SSC CGL level Question Set, 16th on Algebra

ssc cgl level question set 74 algebra 16

This is the 74th question set of 10 practice problem exercise for SSC CGL exam and the 16th on topic Algebra. For maximum gains, this test should be taken first and then its corresponding solution set should be referred to.

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.


74th question set - 10 problems for SSC CGL exam: 16th on topic Algebra - answering time 12 mins

Q1. If $a:b=2:3$ and $b:c=4:5$, find $a^2:b^2:bc$.

  1. $16:36:20$
  2. $4:9:45$
  3. $4:36:40$
  4. $16:36:45$

Q2. If $a+b+c=4\sqrt{3}$ and $a^2+b^2+c^2=16$, then the ratio of $a:b:c$ is,

  1. $1:\sqrt{2}:\sqrt{3}$
  2. $1:2:3$
  3. $1:1:1$
  4. None of these

Q3. If $x^2+y^2+z^2=2(x+z-1)$, then the value of $x^3+y^3+z^3$ is,

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

Q4. If $a+b+c=0$, then the value of $2b^2c^2+2c^2a^2+2a^2b^2 - a^4-b^4-c^4$ is,

  1. 7
  2. 0
  3. 28
  4. 14

Q5. If $\displaystyle\frac{a}{b}=\frac{2}{3}$ and $\displaystyle\frac{b}{c}=\frac{4}{5}$ then the value of the ratio $\displaystyle\frac{a+b}{b+c}$ is,

  1. $\displaystyle\frac{20}{27}$
  2. $\displaystyle\frac{8}{6}$
  3. $\displaystyle\frac{6}{8}$
  4. $\displaystyle\frac{27}{20}$

Q6. If $U_n=\displaystyle\frac{1}{n}-\displaystyle\frac{1}{n+1}$, then the value of $U_1+U_2+U_3+U_4+U_5$ is,

  1. $\displaystyle\frac{1}{2}$
  2. $\displaystyle\frac{1}{3}$
  3. $\displaystyle\frac{5}{6}$
  4. $\displaystyle\frac{2}{5}$

Q7. If $a*b=2a+3b-ab$, then the value of $(3*5+5*3)$ is,

  1. 2
  2. 4
  3. 6
  4. 10

Q8. If $\displaystyle\frac{x}{2x^2+5x+2}=\frac{1}{6}$,  then the value of $x+\displaystyle\frac{1}{x}$ is,

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

Q9. If $x=\displaystyle\frac{\sqrt{3}+1}{\sqrt{3}-1}$, and $y=\displaystyle\frac{\sqrt{3}-1}{\sqrt{3}+1}$, then the value of $x^2+y^2$ is,

  1. $13$
  2. $0$
  3. $14$
  4. $15$

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

  1. $1$
  2. $\displaystyle\frac{3}{5}$
  3. $\displaystyle\frac{1}{5}$
  4. $\displaystyle\frac{4}{5}$

The conceptual solutions in a few steps to these questions are available in the corresponding solution set, SSC CGL level Solution Set 74, Algebra 16.

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

Part 1: Q1 to Q5

Part 2: Q6 to Q10


Answers to questions

Problem 1. Answer: Option d: $16:36:45$.

Problem 2. Answer: Option c : $1:1:1$.

Problem 3. Answer: Option c: 2.

Problem 4. Answer: Option b: 0.

Problem 5. Answer: Option a: $\displaystyle\frac{20}{27}$.

Problem 6. Answer: Option c : $\displaystyle\frac{5}{6}$.

Problem 7. Answer: Option d: 10.

Problem 8. Answer: Option d: $\displaystyle\frac{1}{2}$.

Problem 9. Answer: Option c: $14$.

Problem 10. Answer: Option b: $\displaystyle\frac{3}{5}$.


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.


Share