A drink vendor has 80 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
Correct answer: B. 37
- A. 35
- B. 37
- C. 42
- D. 30
Explanation
The largest equal can size is the H.C.F. of 80, 144 and 368: H.C.F.(80,144,368) = 16 litres. The numbers of cans are 80/16 = 5, 144/16 = 9 and 368/16 = 23, so the total is 5 + 9 + 23 = 37 cans. The likely mistake is 42, from using a smaller can size instead of the greatest possible common size.
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.