2022 · Q18
If x is the HCF and y is the LCM of (3)/(5),(6)/(25),(9)/(20),(27)/(50), then which one of the following is correct?
Elementary MathematicsHCF and LCM
- Ay = 90x
- By = 180x
- Cy = 270x
- Dy = 360x
Explanation
HCF of fractions = HCF(3,6,9,27)/LCM(5,25,20,50) = 3/100, and LCM of fractions = LCM(3,6,9,27)/HCF(5,25,20,50) = 54/5. Then y/x = (54/5)/(3/100) = 360, so y = 360x. The keyed option is D.