MCQ practice · SSC General Mathematics Board questions · Chapter 12: Simple Simultaneous Equations in Two Variables
The equations 3x = 4y and 2x = 3y - 1 - which one is correct?
- i. mutually consistent
- ii. mutually dependent
- iii. it has one solution
Think it through first, then pick an option.
- a i and ii
- b i and iii
- c ii and iii
- d i, ii and iii
Answer and explanation
Correct answer: b i and iii
3/2 ≠ 4/3, so the system is consistent (i) and has one solution (iii). ii is not true.
Why the other options are wrong
- a i and ii: ii is false: in 3x - 4y = 0 and 2x - 3y + 1 = 0, 3/2 ≠ 4/3, so the system is independent, not dependent.
- c ii and iii: ii is false: the ratios are unequal, so it is not dependent. Also the true statement i is missing.
- d i, ii and iii: ii is false: a dependent system has all ratios equal, here 3/2 ≠ 4/3.
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