Algebra questions for SSC CGL Tier 2 Set 3 with answers
Solve 10 questions in algebra questions for SSC CGL Tier II Set 3 within 12 minutes and verify from answers given. To solve quickly, refer to solution set.
Answers to the questions and link to the solution set are at the end.
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Set 3 of 10 Algebra questions for SSC CGL Tier 2 - answering time 12 mins
Q1. If $4y-3x=13$ and $xy=14$, then $64y^3-27x^3$ is,
- 8479
- 8400
- 8740
- 8749
Q2. If $x=(0.09)^2$, $y=\displaystyle\frac{1}{(0.09)^2}$ and $z=(1- 0.09)^2 - 1$, then which of the following relations is true?,
- $y \lt x$ and $x=z$
- $y \lt z \lt x$
- $z \lt x \lt y$
- $x \lt y$ and $x=z$
Q3. Minimum value of $x^4 +\displaystyle\frac{1}{x^4+1} - 3$ is,
- $0$
- $-1$
- $-2$
- $-3$
Q4. If $\displaystyle\frac{p}{3}=\frac{q}{2}$ then the value of $\displaystyle\frac{2p+3q}{3p-2q}$ is,
- $1$
- $\displaystyle\frac{12}{5}$
- $\displaystyle\frac{5}{12}$
- $\displaystyle\frac{12}{7}$
Q5. If $(a-4)^2 + (b-9)^2+(c-3)^2=0$, then the value of $\sqrt{a+b+c}$ is,
- $\pm{4}$
- $4$
- $-4$
- $\pm{2}$
Q6. If $\displaystyle\frac{1}{x+y}=\displaystyle\frac{1}x+\displaystyle\frac{1}{y}$, where, $x \neq 0$, $y \neq 0$ and $x \neq y$, the value of $x^3-y^3$ is,
- $0$
- $2$
- $1$
- $-1$
Q7. If $a^x=(x+y+z)^y$, $a^y=(x+y+z)^z$ and $a^z=(x+y+z)^x$ find the value of $a+b+c$ where $a \neq 0$.
- $0$
- $1$
- $a^3$
- $a$
Q8. If $\displaystyle\frac{x-a^2}{b^2+c^2} + \displaystyle\frac{x-b^2}{c^2+a^2} +\displaystyle\frac{x-c^2}{a^2+b^2} =3$ then the value of $x$ is,
- $a^2+b^2$
- $a^2+b^2+c^2$
- $a^2+b^2-c^2$
- $a^2-b^2-c^2$
Q9. If $ax^2+bx+c=a(x-p)^2$, then the correct relation between $a$, $b$ and $c$ would be,
- $2b=a+c$
- $b^2=4ac$
- $b^2=ac$
- $abc=1$
Q10. If $\displaystyle\frac{y}{x} - \displaystyle\frac{x}{y}=3$, then find the value of $\displaystyle\frac{x^3}{y^3} + \displaystyle\frac{y^3}{x^3}$.
- $10\sqrt{3}$
- $10\sqrt{13}$
- $13\sqrt{3}$
- $13\sqrt{10}$
Learn how to solve the questions quickly from the solution set at,
SSC CGL Tier 2 Solution Set 3 on Algebra 3.
Answers to the Algebra questions for SSC CGL Tier 2 Set 3
Problem 1: Answer: Option d: 8749.
Problem 2: Answer: Option c : $z \lt x \lt y$.
Problem 3: Answer: Option c: $-2$.
Problem 4: Answer: Option b: $\displaystyle\frac{12}{5}$.
Problem 5: Answer: Option b: 4.
Problem 6: Answer: Option a : 0.
Problem 7: Answer: Option d: $a$.
Problem 8: Answer: Option b: $a^2+b^2+c^2$.
Problem 9: Answer: Option b: $b^2=4ac$.
Problem 10: Answer: Option b: $10\sqrt{13}$.
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