# 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.

### 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

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} ?