Quantitative Aptitude Practice Question and Answer
8Q:A man went downstream for 28 km in a motor boat and immediately returned. It took the man twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the boat in still water and the speed of the river flow. 46329 05b5cc672e4d2b4197774c0c8
5b5cc672e4d2b4197774c0c8- 112 km/hr, 3 km/hrfalse
- 29 km/hr, 3 km/hrtrue
- 38 km/hr, 2 km/hrfalse
- 49 km/hr, 6 km/hrfalse
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Answer : 2. "9 km/hr, 3 km/hr"
Explanation :
Answer: B) 9 km/hr, 3 km/hr Explanation: Let the speed of the boat = p kmph Let the speed of the river flow = q kmph From the given data, 2 x 28p + q = 28p - q => 56p - 56q -28p - 28q = 0 => 28p = 84q => p = 3q. Now, given that if 283q + 2q + 283q - 2q = 67260=> 285q + 28q = 67260=> q = 3 kmph=> x =3q = 9 kmph Hence, the speed of the boat = p kmph = 9 kmph and the speed of the river flow = q kmph = 3 kmph.
Q:Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill ? 31278 15b5cc6e5e4d2b4197774ecf7
5b5cc6e5e4d2b4197774ecf7- 18.21 minfalse
- 28 minfalse
- 38.57 mintrue
- 48.49 minfalse
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Answer : 3. "8.57 min"
Explanation :
Answer: C) 8.57 min Explanation: 1/10 + 1/15 = 1/6 x 3 = 1/2 1 - 1/2 = 1/2 1/10 + 1/15 - 1/x = 1/2 x = 8.57 min
Q:From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosen 4th time, the total amount of kerosene in the mixture is 23991 25b5cc7d7e4d2b4197775151a
5b5cc7d7e4d2b4197775151a- 181.92Lfalse
- 296Lfalse
- 3118.08Ltrue
- 4None of thesefalse
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Answer : 3. "118.08L"
Explanation :
Answer: C) 118.08L Explanation: The amount of petrol left after 4 operations = 200 × 1-402004 = 200 × 454 = 200 × 256625 = 81.92 litres Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres
Q:The total number of females are what percent of the total number of males in the organization?
14608 25d4abda611160f205237578e
5d4abda611160f205237578e- 190false
- 270false
- 380true
- 460false
- 5None of thesefalse
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Answer : 3. "80"
Q:A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel? 11571 15b5cc77fe4d2b41977750183
5b5cc77fe4d2b41977750183- 11100false
- 21300false
- 31400true
- 41200false
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Answer : 3. "1400"
Explanation :
Answer: C) 1400 Explanation: Given the ratio of the circumference of front wheel is 40 inches and back wheel is 70 inches Distance covered = Circumference of the wheel × No. of Revolutions made by the wheel If n is the number of revolutions made by back wheel, the number of revolutions made by front wheel is n+15 Distance covered by both the wheels is the same 40*(n+3)=70n n=20 Front wheel : Back Wheel Circumference 40 : 70 Revolutions 35 : 20 Distance covered : 40×35 = 70×20 = 1400 inches.
Q:From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was: 10591 15b5cc7d7e4d2b41977751510
5b5cc7d7e4d2b41977751510- 175 litresfalse
- 2100 litresfalse
- 3150 litresfalse
- 4120 litrestrue
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Answer : 4. "120 litres"
Explanation :
Answer: D) 120 litres Explanation: wine(left)wine(added) = 343169 It means wine(left)wine(initial amount) = 343512 (since 343 + 169 = 512) Thus, 343x = 512x1 - 15k3 343512 = 783 = 1 - 15k3 1-15k=78=1-18 Thus the initial amount of wine was 120 liters.
Q:There is an empty reservoir whose capacity is 30 litres. There is an inlet pipe which fills at 5 L/min and there is an outlet pipe which empties at 4 L/min. Both the pipes function alternately for 1 minute. Assuming that the inlet pipe is the first one to function, how much time will it take for the reservoir to be filled up to its capacity? 8266 05b5cc77ae4d2b4197775013d
5b5cc77ae4d2b4197775013d- 149.5 minfalse
- 250 minfalse
- 351 mintrue
- 452 minfalse
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Answer : 3. "51 min"
Explanation :
Answer: C) 51 min Explanation: The work to be done = Capacity of reservoir = 30 litres. 1st Minute ---> inlet pipe opened ---> 5 lit filled 2nd minute ---> inlet pipe closed; outlet pipe opened ---> 4 lit emptied In 2 minutes (5 litres - 4 litres = 1lit) is filled into the reservoir. It takes 2 minutes to fill 1lit ---> it takes 50 minutes to fill 25 litres into the reservoir. In the 51st minute inlet pipe is opened and the reservoir is filled.
Q:Find the next number in the number series? 6, 6, 9, 18, 45, ? 7812 05b5cc64ae4d2b4197774bc20
5b5cc64ae4d2b4197774bc20- 187false
- 299.75false
- 3115.5false
- 4135true
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Answer : 4. "135"
Explanation :
Answer: D) 135 Explanation: The given number series is 6, 6, 9, 18, 45, ? Here the series follows a pattern that, 6 6 x 1 = 6 6 x 1.5 = 9 9 x 2 = 18 18 x 2.5 = 45 45 x 3 = 135 Hence, the next number in the given number series is 135.