SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

Mixtures and Alligations

How many litres of a 12 litre mixture containing milk and water in the ratio of 2 : 3 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion?
1. 4 litres
2. 2 litres
3. 1 litre
4. 1.5 litres
Answer: B
An express train traveling at 72 km/hr speed crosses a goods train traveling at 45 km/hr speed in the opposite direction in half a minute. Alternatively, if the express train were to overtake the goods train, how long will it take to accomplish the task. Assume that the trains continue to travel at the same respective speeds as mentioned in case 1.
1. Cannot be determined
2. 30 seconds
3. 150 seconds
4. 130 seconds
Answer: D
A train travels at an average speed of 90 km/hr without any stoppages. However, its average speed decrease to 60km/hr on account of stoppages. On an average, how many minutes per hour does the train stop?
1. 12 minutes
2. 18 minutes
3. 24 minutes
4. 20 minutes
Answer: D
Two trains A and B start simultaneously from stations X and Y towards each other respectively. After meeting at a point between X and Y, train A reaches station Y in 9 hours and train B reaches station X in 4 hours from the time they have met each other. If the speed of train A is 36 km/hr, what is the speed of train B?
1. 24 km/hr
2. 54 km/hr
3. 81 km/hr
4. 16 km/hr
Answer: B
A man moves from A to B at the rate of 4 km/hr. Had he moved at the rate of 3.67 km/hr, he would have taken 3 hours more to reach the destination. What is the distance between A and B?
1. 33 kms
2. 132 kms
3. 36 kms
4. 144 kms
Answer: B
A ship develops a leak 12 km from the shore. Despite the leak, the ship is able to move towards the shore at a speed of 8 km/hr. However, the ship can stay afloat only for 20 minutes. If a rescue vessel were to leave from the shore towards the ship, and it takes 4 minutes to evacuate the crew and passengers of the ship, what should be the minimum speed of the rescue vessel in order to be able to successfully rescue the people aboard the ship?
1. 53 km/hr
2. 37 km/hr
3. 28 km/hr
4. 44 km/hr
Answer: B
A sample of x litres from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2 : 3 is replaced with pure milk so that the container will have milk and water in equal proportions. What is the value of x?
1. 6 litres
2. 10 litres
3. 30 litres
4. None of these
Answer: B
A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo?
1. 40
2. 30
3. 50
4. 60
Answer: C
From a cask of milk containing 30 litres, 6 litres are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of litres of milk left in the cask?
1. 0.512 liters
2. 12 liters
3. 14.38 liters
4. 15.36 liters
Answer: D
In a km race, A gives B a start of 20 seconds and beats him by 40m. However, when he gives B a start of 25 seconds they finish in a dead heat. What is A's speed in m/sec?
1. 12.5 m/sec
2. 20 m/sec
3. 8 m/sec
4. 10 m/sec
Answer: D

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