SSC Linear Equations Questions with Answers

Linear Equations

An excellent collection of SSC Linear equations questions and answers with detailed explanations for competitive exams. Given below are some of the most repeated practice questions on Linear equations 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 Linear equations with solutions to ace the exam.

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Instructions

For the following questions answer them individually

Question 1

The graphs of x = a and y = b intersect at

Question 2

If the sum of two numbers, one of which is $$\frac{2}{5}$$ times the other, is 50, then the numbers are

Question 3

The total cost of 8 buckets and 5 mugs is 92 and the total cost of 5 buckets and 8 mugs is 77. Find the cost of 2 mugs and 3 buckets.

Question 4

The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is

Question 5

A number exceeds its two fifth by 75. The number is

Question 6

If $$2x+3y=\frac{5}{6} and $$xy=\frac{5}{6}$$ then the value of $$8x^{3}+27y^{3}$$ is

Question 7

If a* b= a+ b+ a/b, then the value of 12 * 4 is :

Question 8

If $$x^{2}+y^{2}+z^{2}=2(x-y-z)-3$$, then the value of $$2x-3y+4z$$ is [Assume that x, y, z are all real numbers) :

Question 9

If a + b+c= 0, then the value $$(\frac{a+b}{c}+\frac{b+c}{a}+\frac{c+a}{b})$$ $$(\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b})$$ is:

Question 10

If a, b, c are non-zero, $$a+\frac{1}{b}=1$$ and $$b+\frac{1}{c}=1$$ then the value of abc is :

Question 11

The graphs of 2x + 1 = 0 and 3y- 9 = 0 intersect at the point

Question 12

If sum of the roots of a quadratic equation is ­7 and product of the roots is 12. Find the quadratic equation.

Question 13

The straight line 2x + 3y = 12 passes through :

Question 14

If x = 332, y = 332, z = 332, then the value of $$x^3 + y^3 + z^3 - 3xyz$$ is

Question 15

2x- ky + 7 = 0 and 6x- 12y+ 15 = 0 has no solution for

Question 16

A point in the 4th quadrant is 6 unit away from x-axis and 7 unit away from y-axis. The point is at

Question 17

If $$x,y,z \neq 0$$ and $$\frac{1}{x^{2}}+\frac{1}{y^{2}}+\frac{1}{z^{2}}$$ = $$\frac{1}{xy}+\frac{1}{yz}+\frac{1}{zx}$$ then the relation among x, y, z is

Question 18

If x + (1/x) = 2, then what is the value of $$x^{64}+x^{121}$$ ?

Question 19

The area of the triangle formed by the graphs of the equations x= 0, 2x+ 3y= 6 and x+ y= 3 is :

Question 20

The equations 3x+ 4y = 10 -x+ 2y = 0 have the solution (a, b). The value of a + b is

Question 21

Find the maximum number of trees which can be planted, 20 metres apart, on the two sides of a straight road 1760 metres long

Question 22

The mean of 20 items is 55. If two items 45 and 30 are removed, the new mean of the remaining items is

Question 23

If $$\frac{3}{4}$$ of a number is 7 more then $$\frac{1}{6}$$ of the number, then $$\frac{5}{3}$$ of the number is

Question 24

If $$\frac{\sqrt{a+2b}+\sqrt{a-2b}}{\sqrt{a+2b} - \sqrt{a-2b}}=\frac{\sqrt{3}}{1}$$, find the value of $$\frac{a}{b}$$

Question 25

The area in sq. unit. of the triangle formed by the graphs ofx= 4, y= 3 and 3x+ 4y= 12 is

Question 26

Mohan gets 3 marks for each correct sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums solved correctly is

Question 27

Find the roots of the quadratic equation : $$27x^2 + 57x - 14 = 0$$

Question 28

If a+b+c=27, then what is the value of $$(a-7)^{3}+(b - 9)^{3}+(c - 11)^{3}-3(a - 7)(b - 9)(c - 11)$$ ?

Question 29

If $$x = k^{3} - 3k^{2}$$ and $$y= 1 - 3k,$$ then for what value of $$k$$. will be $$x= y$$?

Question 30

The sum of four numbers is 48. When 5 and 1 are added to the first two; and 3 and 7 are subtracted from the 3rd and 4th, all the four numbers will be equal. The numbers are

Question 31

A three­ digit number 4a3 is added to another three ­digit number 984 to give the four digit­ number 13b7 which is divisible by 11. Then the value of (a+b) is:

Question 32

A fraction becomes 9/11 , if 2 is added to both the numerator and the denominator. If 3 is added to both the numerator and the denominator it becomes 5/6 . What is the fraction ?

Question 33

If $$x^{3}+\frac{3}{x}=4(a^{3}+b^{3})$$ and $$3x+\frac{1}{x^3}=4(a^{3}-b^{3})$$, then $$a^{2}-b^{2}$$ is equal to

Question 34

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

Question 35

The value of a machine depreciates every year at the rate of 10% on its value at the beginning of that year. If the current value of the machine is r 729, its worth 3years ago was:

Question 36

If $$x^{2} - y^{2} = 80$$ and x- y= 8, then the average of x and y is

Question 37

The total cost of 8 buckets and 5 mugs is 92 and the total cost of 5 buckets and 8 mugs is 77. Find the cost of 2 mugs and 3 buckets.

Question 38

If $$\frac{4x}{3}+2p=12$$ for what value of $$p, x=6$$ ?

Question 39

The mean of 50 numbers is 30. Later it was discoverd that two entries were wrongly entered as 82 and 13 instead of 28 and 31. Find the correct mean.

Question 40

What will be the roots of the quadratic equation $$x^2 - 25x + 156 = 0$$?

Question 41

Given that $$x^{3} + y^{3} = 72$$ and $$xy = 8$$ with $$x > y$$. Then the value of $$(x - y)$$ is

Question 42

When 7 is subtracted from thrice a number, the result is 14. What is the number ?

Question 43

If (a + b + c) = 0, then $$(\frac{a^{2}}{bc}+\frac{b^{2}}{ca}+\frac{c^{2}}{ab})$$ is

Question 44

If 50% of (x - y) = 30% of (x + y), then what per cent of x is y?

Question 45

If $$a^{2} + b^{2} + c^{2} + 3 = 2 (a- b - c)$$, then the value of $$2 a - b + c$$ is :

Question 46

A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. Litres of liquid A contained by the can initially was

Question 47

If 4x/3 + 2P = 12, for what value of P, x = 6?

Question 48

Which of the following is not a quadratic equation?

Question 49

If x and y are positive real numbers and xy = 8, then the minimum value of 2x + y is

Question 50

If $$\frac{x^{2}}{yz}+\frac{y^{2}}{zx}+\frac{z^{2}}{xy}=3$$, then what is the value of $$(x+y+z)^{3}$$ ?

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