Class 10 Mathematics — Chapter 3: Pair of Linear Equations in Two Variables
59 practice questions · 22 Easy · 20 Medium · 17 Hard
Free NCERT-aligned multiple-choice practice for Class 10 Mathematics, Chapter 3 (Pair of Linear Equations in Two Variables). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 59.
Sample questions
The pair x + y = 5, 2x + 2y = 10 has:
Both equations are equivalent (lines coincide).
Solve: x + y = 7, x − y = 1.
Adding: 2x=8 ⇒ x=4, y=3.
8 men and 12 boys finish a piece of work in 5 days while 6 men and 8 boys finish it in 7 days. The time taken by 1 boy alone to finish the work (in days) is:
Let man rate per day = 1/m, boy = 1/b. 8/m + 12/b = 1/5 and 6/m + 8/b = 1/7. Multiply equations by 3 and 4 respectively: 24/m + 36/b = 3/5; 24/m + 32/b = 4/7. Subtract: 4/b = 3/5 − 4/7 = (21 − 20)/35 = 1/35 ⇒ b = 140.
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