Question : The ratio of sand to stone in a mixture is 5 : 8 while that between stone and cement is 32 : 35. What is the ratio of sand to cement in the mixture?
Option 1: 4 : 3
Option 2: 1 : 7
Option 3: 2 : 3
Option 4: 4 : 7
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Correct Answer: 4 : 7
Solution : Given: The ratio of sand to stone in a mixture is 5 : 8 while that between stone and cement is 32 : 35. The ratio of sand to stone = 5 : 8 = (5 × 4) : (8 × 4) = 20 : 32 So, the ratio of sand, stone, and cement = 20 : 32 : 35 Therefore, the ratio of sand to cement = 20 : 35 = 4 : 7 Hence, the correct answer is 4 : 7.
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Question : A bottle holds 8 litres of a mixture of milk and water in a ratio of 3 : 1. 3 litres of water is added to the given mixture. Find the new ratio of milk and water in the mixture.
Option 1: 3 : 2
Option 2: 1 : 3
Option 4: 6 : 5
Question : In a 64 L mixture, the alcohol and water are in the ratio of 1 : 3 respectively. 32 L of the mixture is taken off and replaced with 16 L of water. What is the new ratio of alcohol and water respectively?
Option 1: 1 : 5
Option 2: 5 : 12
Option 3: 2 : 7
Option 4: 3 : 10
Question : In a mixture, water and milk are in the ratio of 2 : 3. What is the amount of water that is to be added to 20 kg of this mixture to make the ratio of water and milk in the new mixture 1 : 1?
Option 1: 3 kg
Option 2: 2 kg
Option 3: 4 kg
Option 4: 5 kg
Question : If the ratio of the volumes of two cylinders is 7 : 5 and the ratio of their heights is 5 : 7, then what is the ratio of their radii?
Option 1: 5 : 7
Option 2: 3 : 4
Option 3: 5 : 9
Option 4: 4 : 5
Question : In what ratio must water be mixed with milk worth Rs. 50 per litre so as to produce a mixture worth Rs. 35 per litre? (water is available free of cost)
Option 1: 3 : 7
Option 2: 7 : 5
Option 3: 3 : 5
Option 4: 2 : 7
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