In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are______?
Correct answer: D. 820,369
- A. 700,400
- B. 820,360
- C. 800,500
- D. 820,369
Explanation
Work backwards through the Euclidean algorithm with final divisor 41. The pair 820 and 369 gives 820 = 2 x 369 + 82, 369 = 4 x 82 + 41, and 82 = 2 x 41, so the successive quotients are 2, 4 and 2. The likely mistake is option c, 800 and 500, whose division sequence does not produce these quotients.
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.