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

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

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 12

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

Question 13

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 14

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

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

Question 17

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

Question 18

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

Question 19

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

Question 20

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 21

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

Question 22

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 23

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

Question 24

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 25

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 26

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

Question 27

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

Question 28

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

Question 29

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

Question 30

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 31

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

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

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

Question 34

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

Question 35

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

Question 36

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

Question 37

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

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

Question 40

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

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

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

Question 43

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 44

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

Question 45

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

Question 46

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

Question 47

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 48

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

Question 49

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

Question 50

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