Pair of Linear Equations in Two Variables

Class 10 · Mathematics

85 questions32 easy28 medium25 hard

Sample Questions

Q1.A boat goes 30 km upstream in 6 hours and 36 km downstream in 6 hours. Find the speed of the stream.

  • A1 km/h
  • B2 km/h
  • C3 km/h
  • D4 km/h

Q2.A pair of linear equations in two variables that has a unique solution is called:

  • AInconsistent
  • BConsistent
  • CDependent
  • DEquivalent

Q3.A two-digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.

  • A24
  • B36
  • C48
  • D12

Q4.A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ₹27 for a book kept for 7 days while Susy paid ₹21 for a book kept for 5 days. Find the fixed charge.

  • A₹3
  • B₹6
  • C₹9
  • D₹12

Q5.In a triangle, the larger angle is 15° more than the sum of the other two angles. Find the larger angle.

  • A97.5°
  • B100°
  • C105°
  • D110°

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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