The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
Correct answer: D. 60
- A. 24
- B. 48
- C. 56
- D. 60
Explanation
The HCF must always divide the LCM, because every common divisor is a factor of every common multiple. For HCF 8, the LCM must be divisible by 8; 24, 48 and 56 are divisible by 8, but 60 is not. The likely mistake is choosing 56 by overlooking that 56 is in fact divisible by 8.
Last updated
About Ratio and Proportion
Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
Practise Arithmetic
1,060 free Arithmetic MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Mathematics questions like this
Mathematics is on 67 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.