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A mixture is said to be symmetrical if it contains liquids P and Q in ratio 1 ∶ 2. 40 liters of a mixture of P and Q is taken in which P and Q are in the ratio 2 ∶ 3. What should be the ratio of P and Q in 20 liters of mixture that when mixed with first mixture results in a symmetrical mixture?
1). 1 ∶ 2
2). 1 ∶ 3
3). 1 ∶ 4
4). 1 ∶ 5

Quantity B: In a 100 L mixture of petrol and spirit, the spirit is only 2% then find amount of spirit to be added to make spirit concentration 30%.
1). Quantity A > Quantity B
2). Quantity A < Quantity B
3). Quantity A ≥ Quantity B
4). Quantity A ≤ Quantity B

In a vessel, there is a mixture of apple, orange and mango juices in the ratio of 3 : 5 : 4 respectively. A quantity of 12 litres from the mixture is replaced by 8 litres of apple juice. Thereafter the quantities of apple and orange juices in the resultant mixtures become same. Find out the initial quantity of mixture in the vessel.
1). 90 litres
2). 70 litres
3). 60 litres
4). 80 litres

A milkman bought milk at Rs. 2.50 per litre. He mixed 4 litres of water with the milk and sold it at Rs. 2.50 per litre, earning a profit of 5%. What was the quantity of milk that he had?
1). 65 litres
2). 80 litres
3). 45 litres
4). 56 litres

A piece of alloy weighs 8 kg. It contains tin and copper and their weights are in the ratio of 3 ∶ 1. If the amount of tin is reduced by half, what is the new weight of the piece?
1). 7 kg
2). 6 kg
3). 5 kg
4). 4 kg

In what ratio must a mixture of 15% spirit strength be mixed with that of 25% spirit strength to get a mixture of 21% spirit strength? 
1). 1 : 3
2). 2 : 3 
3). 3 : 4 
4). 4 : 5

There are two mixtures of honey and water in which the ratio of honey and water is 1 : 3 and 3 : 1 respectively. Two litres are drawn from the first mixture and 3 litres from the second mixture, and it is mixed to form another mixture. What is the ratio of honey and water in it?
1). 106 : 69
2). 103 : 72
3). 89 : 86
4). 11 : 9


1). 12 litres
2). 14 litres
3). 10 litres
4). 13 litres

A medicine is made of chemical and water. Quantity of the chemical in the medicine is \(11\frac{1}{9}{\rm{\% \;}}\) is more than that of the water. The chemical is made from two different liquids A and B. Quantity of liquid A in the chemical is \(11\frac{1}{9}{\rm{\% }}\) less than that of liquid B. Find the ratio of liquid A, liquid B and water in the medicine.
1). 35 ∶ 45 ∶ 111
2). 87 ∶ 78 ∶ 150
3). 80 ∶ 90 ∶ 153
4). 70 ∶ 80 ∶ 153

1200 ml of mixture contains milk and water in the ratio of 5 : 3. What amount of water should be added to make the ratio 5 : 4?
1). 150 ml
2). 185 ml
3). 135 ml
4). 250 ml

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