Two oil tankers contain 825 litres and 675 litres of kerosene oil respectively. (ii) How many times we have to use container for both tanker to fill ?
(a) 11 and 9 times
(b) 22 and 18 times
(c) 10 and 8 times
(d) 8 and 6 times
Answers
Answer:
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SOLUTION
TO CHOOSE THE CORRECT OPTION
Two oil tankers contain 825 litres and 675 litres of kerosene oil respectively.
(i) The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is :
(a) 50 litre
(b) 75 litre
(c) 150 litre
(d) 225 litre
(ii) How many times we have to use container for both tanker to fill
(a) 11 and 9 times
(b) 22 and 18 times
(c) 10 and 8 times
(d) 8 and 6 times
EVALUATION
Here it is given that two oil tankers contain 825 litres and 675 litres of kerosene oil respectively.
(i) We now find the HCF of 825 and 675
825 = 3 × 5 × 5 × 11
675 = 3 × 3 × 3 × 5 × 5
So HCF = 3 × 5 × 5 = 75
Hence the maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is 75 litre
Hence the correct option is (b) 75 litre
(ii) 825 ÷ 75 = 11
675 ÷ 75 = 9
Hence the required number times we have to use container for both tanker to fill is 11 times and 9 times respectively
Hence the correct option is (a) 11 and 9 times
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