SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

Speed, Time and Distance

Rajesh traveled from city A to city B covering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?
1. His average speed is the harmonic mean of the individual speeds for the two parts.
2. His average speed is the arithmetic mean of the individual speeds for the two parts.
3. His average speed is the geometric mean of the individual speeds for the two parts.
4. Cannot be determined.
Answer: B
The proportion of milk and water in 3 samples is 2:1, 3:2 and 5:3. A mixture comprising of equal quantities of all 3 samples is made. The proportion of milk and water in the mixture is
1. 2:1
2. 5:1
3. 99:61
4. 227:133
Answer: D
A group of workers can do a piece of work in 24 days. However as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it?
1. 35
2. 30
3. 28
4. 42
Answer: C
A, B and C play cricket. A's runs are to B's runs and B's runs are to C's as 3:2. They get altogether 342 runs. How many runs did A make?
1. 162
2. 108
3. 72
4. None of these
Answer: A
The monthly salaries of two persons are in the ratio of 4:7. If each receives an increase of Rs.25 in the salary, the ratio is altered to 3: 5. Find their respective salaries.
1. 120 and 210
2. 80 and 140
3. 180 and 300
4. 200 and 350
Answer: D
A fort has provisions for 60 days. If after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort?
1. 3500
2. 4000
3. 6000
4. None of these
Answer: B
By walking at 3/4th of his usual speed, a man reaches office 20 minutes later than usual. What is his usual time?
1. 30 min
2. 60 min
3. 70 min
4. 50 min
Answer: B
A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.
1. 20 kms
2. 25 kms
3. 45 kms
4. 40 kms
Answer: B
Yana and Gupta leave points x and y towards y and x respectively simultaneously and travel in the same route. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the speed of Gupta?
1. 72 kmph
2. 32 mph
3. 20 mph
4. None of these
Answer: C
Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How many hours has been driving at 20 kmph?
1. 2 hours
2. 3 hours 20 minutes
3. 4 hours 40 minutes
4. 3 hours 12 minutes
Answer: D

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