Question

A merchant has 120 litres of oil kind, 180 litres of oip another kind and 240 litres of their kind. he wants to sell the oli in tins of equal capacity. ¡) what should be the greatest capacity of such a tin ¡¡) find the number of this loaded in a truck of capacity 600 such tins​

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A merchant has 12

Class 10th

RD Sharma - Mathematics

1. Real Numbers

Answer

To find greatest capacity of tin we should find HCF of 120 and 180 and 240

Prime factors of 120= 2 × 2 × 2 × 3 × 5

Prime factors of 180 = 2 × 2 × 3 × 3 × 5

Prime factors of 240 = 2 × 2 × 2 × 2 × 3 × 5

Therefore HCF of 120, 180 and 240 is: 2 × 2 × 3 × 5 = 60

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