2017 · Q9
If the points P and Q represent the real numbers 0.83 and 0.62 on the number line, then the distance between P and Q is
Elementary MathematicsNumber System
- A21/90
- B19/90
- C21/100
- D56/90
Explanation
The figures 0.83 and 0.62 in the original paper denote the recurring decimals 0.8333… and 0.6222…. Converting: 0.83̅ = (83−8)/90 = 75/90 and 0.62̅ = (62−6)/90 = 56/90. The distance is |75/90−56/90| = 19/90. Hence option (B) 19/90. (Trap: treating them as terminating decimals gives 0.83−0.62 = 21/100.)