Substitution methodPractice Questions & MCQs
Practice Substitution method questions from Pair of Linear Equations in Two Variables (Class 10 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Substitution methodQuiz - Solve & Score
Q1. A fraction becomes 9/11 if 2 is added to numerator and denominator, and 5/6 if 3 is added to both. The fraction is (NCERT):
- A.3/5
- B.7/9
- C.9/11
- D.5/6
Answer: B. 7/9
Q2. Solve 7x - 15y = 2 and x + 2y = 3. The value of x is (NCERT):
- A.3
- B.29/49
- C.49/29
- D.2
Answer: C. 49/29
Reading the problem, 7, 15, 2, 2, 3 (math, chapter 'Pair of Linear Equations'). What we must find: the requested quantity. The principle that connects these is - x = 3 - 2y. Substituting and simplifying: x = 3 - 2y → substitute to find x = 49/29. That lands on option C) 49/29. As for the others, option A) '3' fails since Substituting x=3-2y gives x=49/29; option B) '29/49' is wrong because x = 49/29.
Q3. Two numbers are in ratio 5:6; if 8 is subtracted from each, the ratio is 4:5. The numbers are (NCERT):
- A.35 and 42
- B.25 and 30
- C.40 and 48
- D.50 and 60
Answer: C. 40 and 48
Given 5, 6, 8, 4, 5, asked for the unknown. By (5k-8)/(6k-8)=4/5. (5k-8)/(6k-8)=4/5 → k=8. So option C) 40 and 48. Others fail: option A) '35 and 42' doesn't hold - The numbers are 40 and 48; option B) '25 and 30' misses the point - Ratio with -8 gives 4:5 only for 40,48.
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Where can I practise Substitution method questions for Class 10 Maths?
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Are these Substitution method questions important for the exam?
Yes. These Substitution method important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
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