SSC Fractions Questions with Answers

Fractions

An excellent collection of SSC Fractions questions and answers with detailed explanations for competitive exams. Given below are some of the most repeated practice questions on Fractions for SSC CGL, CHSL, JE, GD constable, Stenographer, MTS, and CPO exams. Go through this very important online quiz based on model and previous year asked questions from SSC Fractions with solutions to ace the exam.

Take a free SSC CHSL Mock

Thousands of students have taken Cracku's Free SSC CHSL Mock.

Instructions

For the following questions answer them individually

Question 1

If x,y are positive acute angles, x + y < 90o and sin(2x -20o) = cos(2y + 20o), then the values of sec(x + y) is

Question 2

If $$x^2=y + z, y^2=z + x, z^2=x+y$$, then the value $$\frac{1}{1+x} + \frac{1}{1+y} + \frac{1}{1+z}$$

Question 3

If x + y = 5, $$x^{3} + y^{3}$$ = 35, then what is the positive difference between x and y?

Question 4

If $$x^{2}$$ + (1/$$x^{2}$$) = 31/9 and x > 0, then what is the value of $$x^{3}$$ + (1/$$x^{3}$$) ?

Question 5

$$1\frac{1}{2}+11\frac{1}{2}+111\frac{1}{2}+1111\frac{1}{2}$$ is equal to

Question 6

If $$4^{(x+y)} = 256$$ and $$(256)^{(x-y)} = 4$$, then what is the value of x and y?

Question 7

p = 124 , $$\sqrt[3]{p(p^2 + 3p + 3) + 1}$$ = 

Question 8

If $$a^2+b^2+4c^2=2(a+b-2c-3)$$ and a, b, c are real, then the value of $$(a^2+b^2+c^2)$$ is

Question 9

The length (in metres) of the longest rod that can he put in a room of dimensions 10 m x 10 m x 5m is

Question 10

If  $$x^2-3x +1$$, then value of $$x^2+x+\frac{1}{x}+\frac{1}{x^2}$$  is

Question 11

If $$x + \frac{2}{3 + \frac{4}{5 + \frac{7}{6}}}=10$$, the value of $$x$$ equals

Question 12

Which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?

Question 13

If $$(\frac{3}{5})^3(\frac{3}{5})$$-6 = $$(\frac{3}{5})$$2x-1 then x is equal to

Question 14

If $$\frac{a}{b} = \frac{c}{d} = \frac{e}{f} = 3$$, then $$\frac{2a^2 + 3c^2 + 4e^2}{2b^2 + 3d^2 +4f^2}$$ = ?

Question 15

If sin (A - B) = $$\frac{1}{2}$$ and cos (A + B) = $$\frac{1}{2}$$ where A > B > 0 and A + B is an acute angle, then the value B is

Question 16

If x - (1/x) = 3, then what is the value of $$(2x^{4} + 3x^{3} + 13x^{2} - 3x + 2 / (3x^{4} + 3)?$$

Question 17

When the angle of elevation of the sun increases from 30$$^{\circ}$$ to 60$$^{\circ}$$ , the shadow of a post is diminished by 5 metres. Then the height of the post is

Question 18

If 17/3 + [3(2x - 5/3)]/2 = 1/6, then what is the value of x?

Question 19

$$5a + \frac{1}{3a}$$ = 5, the value of 9a2 + $$\frac{1}{25a^2}$$ is 

Question 20

The sum of a non-zero number and thrice its reciprocal is 52/7. Find the number.

Question 21

$$1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{2}{3}}}}}$$

Question 22

Divide 20 into two parts such that the sum of the square of the parts is 232. What is the value of the two parts?

Question 23

If $$a^{3} + b^{3}$$ = 19 and a + b = 1, then what is the value of ab?

Question 24

If $$x + \frac{1}{x} =5$$, then the value of $$\frac{x^4 + \frac{1}{x^2}}{x^2 - 3x +1}$$ is

Question 25

If a = 11 and b = 9, then the value of $$\frac{a^2 + b^2 + ab}{a^3 - b^3}$$ is

Question 26

If $$a^{3} - b^{3}$$ = 91 and a - b = 1, then what is the value of ab?

Question 27

If a + b + c = 2s, then $$\frac{(s-a)^{2}+(s-b)^{2}+(s-c)^{2}+s^{2}}{a^{2}+b^{2}+c^{2}}$$ is equal to

Question 28

A child reshapes a cone made up of clay of height 24 and radius 6cm into a sphere. The radius (in cm) of the sphere is

Question 29

If x+y+z=0 then what is the value of $$\frac{x^{2}}{3z}+\frac{y^3}{3xz}+\frac{z^2}{3x}?$$

Question 30

If $$(1+sin\alpha)(1+sin\beta)(1+sin\gamma)=(1-sin\alpha)(1-sin\beta)(1-sin\gamma)$$ then each side is equal to

Question 31

If 5x/2 - [7(6x - 3/2)]/4 = 5/8, then what is the value of x?

Question 32

If $$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0$$ and x + y + z = 9, then what is the value of $$x^3 + y^3 + z^3 - 3xyz$$ ?

Question 33

When 0.090909.....is converted into a fraction, then the result is

Question 34

If x/3 - [5(7x/5 - 4/3)]/2 = -x/6, then what is the value of x?

Question 35

If 2x + (9/x) = 9, then what is the minimum value of $$x^{2}+(\frac{1}{x^{2}})$$ ?

Question 36

If $$x = 2 + \sqrt{3}, y = 2 - \sqrt{3}$$, then the valuer of $$\frac{x^2 + y^2}{x^3 + y^3}$$ is 

Question 37

Find x given $$\sqrt{1 - \frac{x^3}{100}} = \frac{3}{5}$$

Question 38

If $$x^{4}+(\frac{1}{x^{4}})=34$$, then what is the value of $$x^{3}-(\frac{1}{x^{3}})$$ ?

Question 39

If x = 1 - y and $$x^2 = 2 - y^2$$, then what is the value of xy?

Question 40

The sum of a non-zero number and ten times its reciprocal is 7. Find the number.

Question 41

If $$2x - \frac{1}{2x} = 6$$, then the value of $$x^2 + \frac{1}{16x^2}$$

Question 42

x+y = 9 and $$\frac{x}{y}$$ = 1.25, then $$\frac{y}{x}$$ is equal to

Question 43

If $$\frac{11-13x}{x}+\frac{11-13y}{y}+\frac{11-13z}{z}=5$$, then what is value of $$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$$ ?

Question 44

If $$\frac{4x-3}{x}+\frac{4y-3}{y}+\frac{4z-3}{z}=0$$, then the value of $$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$$ is

Question 45

If $$a+\frac{1}{a-2}=4$$, then the value of $$(a-2)^{2}+(\frac{1}{a-2})^{2}$$ is

Question 46

The number 0. 121212.... in the P form p/q is equal to

Question 47

The minimum value of (x-2) (x-9) is

Question 48

If xy(x+y)=1 then, the value of $$\frac{1}{x^{3}y^{3}}-x^{3}-y^{3}$$ is

Question 49

If tan(x + y)tan(x - y) = 1, then the value of $$tan(\frac{2x}{3})$$ is

Question 50

If $$\sqrt{1 + \frac{x}{9}} = \frac{13}{3}$$

Download SSC CHSL Previous Papers as PDF

Solve all previous papers at your convenience by downloading PDFs. Every question has a detailed solution.

SSC Questions from other topics

Download our Highly-Rated App

Get all the help you need to crack CAT in one place.
Our highly rated app (4.6/5) is a must-have for cracking CAT.

Get it on Google Play
/

Boost your Prep!

Download App