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

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

Question 2

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

Question 3

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

Question 4

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 5

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

Question 6

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

Question 7

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

Question 8

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

Question 9

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 10

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

Question 11

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 12

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

Question 13

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 14

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 15

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 16

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

Question 17

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

Question 18

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

Question 19

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

Question 20

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

Question 21

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

Question 22

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

Question 23

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

Question 24

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 25

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

Question 26

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

Question 27

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

Question 28

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 29

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

Question 30

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

Question 31

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

Question 32

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 33

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

Question 34

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

Question 35

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 36

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 37

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

Question 38

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

Question 39

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

Question 40

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 41

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

Question 42

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 43

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

Question 44

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

Question 45

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

Question 46

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

Question 47

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 48

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

Question 49

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

Question 50

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

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