10th Standard CBSE - Maths - Pair of Linear Equation in Two Variables

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Question - 1

Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of students in the class

  • A 40
  • B 50
  • C 60
  • D 70

Question - 2

8 girls and 12 boys can finish work in 10 days while 6 girls and 8 boys can finish it in 14 days. Find the time taken by the one girl alone that by one boy alone to finish the work.

  • A 120, 130
  • B 140,280
  • C 240,280
  • D 100,120

Question - 3

The sum of two digits and the number formed by interchanging its digit is 110. If ten is subtracted from the first number, the new number is 4 more than 5 times of the sum of the digits in the first number. Find the first number

  • A 46
  • B 48
  • C 64
  • D 84

Question - 4

A fraction becomes . when subtracted from the numerator and it becomes . when 8 is added to its denominator. Find the fraction

  • A 4/12
  • B   3/13
  • C 5/12
  • D 11/7

Question - 5

Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A.

  • A 20
  • B 50
  • C 60
  • D 40

Question - 6

What will be the solution of these equations ax+by=a-b, bx-ay=a+b

  • A x=1, y=2
  • B x=2,y=-1
  • C x=-2, y=-2
  • D x=1, y=-1

Question - 7

If x=a, y=b is the solution of the pair of equation x-y=2 and x+y=4 then what will be value of a and b

  • A 2,1
  • B 3,1
  • C 4,6
  • D  1,2

Question - 8

Rozly can row downstream 20km in 2 hours, and the upstream 4km in 2 hours. What will be the speed of rowing in still water?

  • A 6km/hr
  • B 4km/hr
  • C 3km/hr
  • D 7km/hr

Question - 9

If the pair of equation has no solution, then the pair of equation is 

  • A inconsistent
  • B none of these
  • C coincident
  • D consistent

Question - 10

Find the solution to the following system of linear equations
0.2x + 0.3y = 1.2
0.1x – 0.1y = 0.1

  • A (2,1)
  • B (2,3)
  • C (1,2)
  • D (3,2)