NCERT/Class 10/Mathematics/Pair of Linear Equations in Two Variables

Pair of Linear Equations in Two Variables

Class 10 · Mathematics

85 questions32 easy28 medium25 hard

Sample Questions

Q1.A fraction becomes 1/3 when 1 is subtracted from both numerator and denominator, and becomes 1/4 when 8 is added to both. What is the fraction?

  • A3/9
  • B4/12
  • C5/15
  • D3/12

Q2.Which pair of equations is consistent?

  • Ax + y = 5 and 2x + 2y = 10
  • Bx − y = 3 and 2x − 2y = 7
  • C3x + 2y = 4 and 6x + 4y = 9
  • D5x − 3y = 2 and 10x − 6y = 5

Q3.A fraction becomes 9/11 when 2 is added to both numerator and denominator. If 3 is added to both, the fraction becomes 5/6. Find the fraction.

  • A7/9
  • B5/7
  • C7/11
  • D5/9

Q4.The condition for a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 to have no solution is:

  • Aa1/a2 = b1/b2 = c1/c2
  • Ba1/a2 ≠ b1/b2
  • Ca1/a2 = b1/b2 ≠ c1/c2
  • Da1b2 = a2b1

Q5.In a competitive exam, 3 marks are awarded for each correct answer and 1 mark is deducted for each wrong answer. Radha scored 40 marks by attempting 20 questions. How many did she get correct?

  • A12
  • B15
  • C10
  • D8

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Consistent and inconsistent pairsCross-multiplication methodDependent equationsElimination methodGraphical method of solutionLinear equations in two variablesSubstitution methodWord problems

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