PRC-2 · Chapter 1 · Question 29 of 45
The numerator of a fraction is 3 less than its denominator. If 2 is added to both the numerator and the denominator, the fraction becomes 1/2. What is the original denominator?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) 4
Explanation
Let denominator be x, so numerator is (x - 3). The new fraction is (x - 3 + 2) / (x + 2) = 1/2. This simplifies to (x - 1) / (x + 2) = 1/2. Cross multiplying gives 2x - 2 = x + 2. Solving yields x = 4.
More Linear And Quadratic Equations MCQs
- Q31Which of the following expressions is a quadratic equation?
- Q32Solve the linear equation for x: 3(x - 4) = 2(x + 1).
- Q33In the quadratic formula x = [-b ± √(b^2 - 4ac)] / 2a, what is the term (b^2 - 4ac) specifically called?
- Q34If the discriminant of a quadratic equation is exactly zero (b^2 - 4ac = 0), what can be concluded about its roots?
- Q35What are the roots of the quadratic equation x^2 - 7x + 10 = 0?