 # 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.

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Instructions

For the following questions answer them individually

Question 1

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

Question 2

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

Question 3

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

Question 4

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

Question 5

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

Question 6

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

Question 7

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

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

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

Question 10

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 11

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 12

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

Question 13

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 14

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

Question 15

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

Question 16

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

Question 17

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

Question 18

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

Question 19

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

Question 20

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

Question 21

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

Question 22

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

Question 23

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

Question 24

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

Question 25

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

Question 26

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 27

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

Question 28

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 29

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

Question 30

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 31

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

Question 32

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 33

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 34

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

Question 35

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

Question 36

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

Question 37

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

Question 38

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

Question 39

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

Question 40

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

Question 41

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 42

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 43

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

Question 44

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

Question 45

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 46

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 47

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

Question 48

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 49

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

Question 50

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