A can contains 399 litres of petrol and a can Y contains 532 litres of diesel. They are to be bottled in bottles of equal size so that the whole petrol and diesel would be separately bottled. The bottle capacity in terms of litres is an integer. How many different bottle sizes are possible?
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A medium CSAT / General Aptitude multiple-choice question from UPSC Prelims 2024. Attempt it above, then check the correct answer and detailed explanation below.
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Correct answer: A. 2
The GCD of 399 and 532 is 19. The only factors of 19 are 1 and 19, hence there are only 2 bottle sizes possible.
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