Substitution method MCQs
Practice Substitution method multiple-choice questions from Pair of Linear Equations in Two Variables (Class 10 Maths) - tap an answer for instant feedback and a step-by-step solution. 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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