The ratio of numbers is 3:4 and their H.C.F is 4. Their L.C.M is__________?
Correct answer: D. 48
- A. 12
- B. 16
- C. 24
- D. 48
Explanation
The numbers are 3k and 4k, and because 3 and 4 are co-prime, their H.C.F. is k. Hence k = 4, so the numbers are 12 and 16, and their L.C.M. is 3 x 4 x 4 = 48. The common mistake is 16, which is one of the numbers rather than their L.C.M.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
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.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Mathematics questions like this
Mathematics is on 76 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Ratio and Proportion questions
The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above conditions is__________?
The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is_________?
The product of two numbers is 2028 and their H.C.F is 13. The number of such pairs is__________?
Three numbers are in the ratio 1:2:3 and their H.C.F is 12. The numbers are__________?
H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 * 35 * 52 * 72. The third number is___________?
The G.C.D of 1.08, 0.36 and 0.9 is________?