A can X 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 whole of 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. 3

B. 4

C. 5

D. 6

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Answer: B

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Explanation

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To solve this, we need to find the common divisors of 399 (the amount of petrol) and 532 (the amount of diesel). The common divisors will give us the possible bottle sizes.

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Step 1: Find the prime factors of 399 and 532

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399 = 1 × 3 × 7 × 19

532 = 1 × 2 × 2 × 7 × 19

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Step 2: Determine common divisors

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The common factors between 399 and 532 are 1, 7 and 19, and their multiple, 133.

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The possible bottle sizes are the common divisors of 399 and 532, which are 1, 7, 19, and 133. Therefore, there are 4 possible bottle sizes.

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