SAT Sample Questions » Quantitative Section : Quantitative Ability

SAT Sample Questions

Quantitative Section : Quantitative Ability

Speed, Time and Distance

191. Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms?
     1. 60 km/hr
     2. 90 km/hr
     3. 120 km/hr
     4. 135 km/hr

     Answer: C

192. A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio of milk and water in the resultant mixture?
     1. 17 : 3
     2. 9 : 1
     3. 3 : 17
     4. 5 : 3

     Answer: B

193. In what ratio must a person mix three kinds of tea costing Rs.60/kg, Rs.75/kg and Rs.100 /kg so that the resultant mixture when sold at Rs.96/kg yields a profit of 20%?
     1. 1 : 2 : 4
     2. 3 : 7 : 6
     3. 1 : 4 : 2
     4. None of these

     Answer: C

194. A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at a profit of 20% at Rs.30 / kg. How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture?
     1. 1 kg
     2. 5 kgs
     3. 3 kgs
     4. 6 kgs

     Answer: B

195. How many litres of water should be added to a 30 litre mixture of milk and water containing milk and water in the ratio of 7 : 3 such that the resultant mixture has 40% water in it?
     1. 7 litres
     2. 10 litres
     3. 5 litres
     4. None of these

     Answer: C

196. How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?
     1. 20 kgs
     2. 12.5 kgs
     3. 16 kgs
     4. 200 kgs

     Answer: A

197. Two trains, 200 and 160 meters long take a minute to cross each other while traveling in the same direction and take only 10 seconds when they cross in opposite directions. What are the speeds at which the trains are traveling?
     1. 21 m/s; 15 m/s
     2. 30 m/s; 24 m/s
     3. 18 m/s; 27 m/s
     4. 15 m/s; 24 m/s

     Answer: A

198. A man driving his bike at 24 kmph reaches his office 5 minutes late. Had he driven 25% faster on an average he would have reached 4 minutes earlier than the scheduled time. How far is his office?
     1. 24 km
     2. 72 km
     3. 18 km
     4. Data Insufficient

     Answer: C

199. When an object is dropped, the number of feet N that it falls is given by the formula N = ½gt2 where t is the time in seconds from the time it was dropped and g is 32.2. If it takes 5 seconds for the object to reach the ground, how many feet does it fall during the last 2 seconds?
     1. 64.4
     2. 96.6
     3. 161.0
     4. 257.6

     Answer: D

200. If the wheel of a bicycle makes 560 revolutions in travelling 1.1 km, what is its radius?
     1. 31.25 cm
     2. 37.75 cm
     3. 35.15 cm
     4. 11.25 cm

     Answer: A