Vessel A contains 30 litres of milk and water in the ratio of 4: 1 and ______litres of mixture is taken out. Then ________litres of the milk are added to the remaining mixture and now the ratio of milk to water becomes is 5: 1.<\/p> Q.
Which of the following options satisfies the two blanks in the question?<\/p>
a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2.5, 5<\/p>
b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5, 5<\/p>
c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10, 4<\/p>
d)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5, 6<\/p>
A.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 All A, B, C and D<\/p>
B.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Only B and C<\/b><\/p>
C.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Only C<\/p>
D.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Only B, C and D<\/p>
E.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Only B<\/p>
Sol:<\/p>
From option (A)<\/p>
Milk in 30 litres the mixture = 30 * 4\/5 = 24 <\/p>
Water in 30 litres mixture = 30 * 1\/5 = 6 <\/p>
Milk in 2.5 litres the mixture = 2.5 * 4\/5 = 2 <\/p>
Water in 2.5 litres the mixture = 2.5 * 1\/5 = 0.5 <\/p>
(24 \u2013 2 + x)\/ (6 \u2013 0.5) = 5\/1 <\/p>
(22 + x)\/5.5 = 5\/1 <\/p>
22 + x = 27.5 <\/p>
x = 5.5 litres <\/p>
This will not satisfy the given condition. <\/p>
From option (B)<\/p>
Milk in 30 litres the mixture = 30 * 4\/5 = 24 <\/p>
Water in 30 litres mixture = 30 * 1\/5 = 6 <\/p>
Milk in 5 litres the mixture = 5 * 4\/5 = 4 <\/p>
Water in 5 litresthe mixture = 5 * 1\/5 = 1 <\/p>
(24 \u2013 4 + x)\/ (6 – 1) = 5\/1 <\/p>
(20 + x)\/5 = 5\/1 <\/p>
20 + x = 25 <\/p>
x = 5 litres <\/p>
This will satisfy the given condition. <\/p>
From option (C)<\/p>
Milk in 30 litres the mixture = 30 * 4\/5 = 24 <\/p>
Water in 30 litres mixture = 30 * 1\/5 = 6 <\/p>
Milk in 10 litres the mixture = 10 * 4\/5 = 8 <\/p>
Water in 10 litres the mixture = 10 * 1\/5 = 2 <\/p>
(24 \u2013 8 + x)\/(6 – 2) = 5\/1 <\/p>
(16 + x)\/4 = 5\/1 <\/p>
16 + x = 20 <\/p>
x = 4 litres <\/p>
This will satisfy the given condition. <\/p>
From option (D)<\/p>
Milk in 30 litres the mixture = 30 * 4\/5 = 24 <\/p>
Water in 30 litres mixture = 30 * 1\/5 = 6<\/p>
Milk in 4.5 litres the mixture = 4.5 * 4\/5 = 3.6 <\/p>
Water in 4.5 litres the mixture = 4.5 * 1\/5 = 0.9 <\/p>
(24 \u2013 3.6 + x)\/ (6 \u2013 0.9) = 5\/1 <\/p>
(20.4 + x)\/5.1 = 5\/1 <\/p>
20.4 + x = 25.5 <\/p>
x = 5.1 litres <\/p>
This will not satisfy the given condition.<\/p> <\/p>\n","protected":false},"excerpt":{"rendered":"
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