GATE Practice Question and Answer8
Q:A cow was standing on a bridge, 5m away from the middle of the bridge. A train was coming towards the bridge from the ends nearest to the cow. Seeing this cow ran towards the the train and managed to escape when the train was 2m away from bridge. If it had run in the opposite direction, it would hit by the train 2m before the end of the bridge. What is the lenght of the bridge in meters assuming the speed of the train is 4 times that of cow ? 72246 35b5cc705e4d2b4197774f2495b5cc705e4d2b4197774f249
- 122 mtsfalseCorrectWrong
- 228 mtsfalseCorrectWrong
- 332 mtstrueCorrectWrong
- 434 mtsfalseCorrectWrong
Answer : 3. "32 mts"
Answer: C) 32 mts Explanation: let 'b' be the Length of bridge from cow to the near end of the bridge and 'a' be the distance of the train from the bridge. 'x' be speed of cow => '4x' speed of trainThen the total length of the bridge 2b + 10.(a-2)/4x = b/x=> a-2 = 4b........(1)Now if it had run in opposite direction(a+2b+10-2)/4x = (b+10-2)/x=> a - 2b = 24......(2)Solving (1) and (2)b = 11 , Therefore length of the bridge is 2 x 11 + 10 = 32mts.
Q: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. 40049 05b5cc672e4d2b4197774c0c85b5cc672e4d2b4197774c0c8
- 112 km/hr, 3 km/hrfalseCorrectWrong
- 29 km/hr, 3 km/hrtrueCorrectWrong
- 38 km/hr, 2 km/hrfalseCorrectWrong
- 49 km/hr, 6 km/hrfalseCorrectWrong
Answer : 2. "9 km/hr, 3 km/hr"
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 ? 25721 15b5cc6e5e4d2b4197774ecf75b5cc6e5e4d2b4197774ecf7
- 18.21 minfalseCorrectWrong
- 28 minfalseCorrectWrong
- 38.57 mintrueCorrectWrong
- 48.49 minfalseCorrectWrong
Answer : 3. "8.57 min"
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 19889 25b5cc7d7e4d2b4197775151a5b5cc7d7e4d2b4197775151a
- 4None of thesefalseCorrectWrong
Answer : 3. "118.08L"
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 school principal has received complaints from parents about bullying in the school yard during recess. He wants to investigate and end this situation as soon as possible, so he has asked the recess aides to watch closely. Which situation should the recess aides report to the principal ? 8683 05b5cc75ce4d2b4197774fc615b5cc75ce4d2b4197774fc61
- 1A boy is sitting glumly on a bench reading a book and not interacting with his peers.falseCorrectWrong
- 2Two boys are playing a one-on-one game of basketball and are arguing over the last basket scored.falseCorrectWrong
- 3Three boys are huddled over a handheld video game, which isn’t supposed to be on school grounds.falseCorrectWrong
- 4Four girls are surrounding another girl and seem to have possession of her backpack.trueCorrectWrong
Answer : 4. "Four girls are surrounding another girl and seem to have possession of her backpack."
Answer: D) Four girls are surrounding another girl and seem to have possession of her backpack. Explanation: Seeing four girls surrounding another girl, while in possession of her backpack, is the most suspicious of the incidents described.
Q:Which is a common first indicator of an approaching thunderstorm? 7924 05b5cc6a1e4d2b4197774caea5b5cc6a1e4d2b4197774caea
- 1too hotfalseCorrectWrong
- 2heavy windfalseCorrectWrong
- 3a buildup of dark cloudstrueCorrectWrong
Answer : 3. "a buildup of dark clouds"
Answer: C) a buildup of dark clouds Explanation: The first indicator of an approaching thunderstorm is a buildup of dark clouds. A thunderstorm is a storm with lightning and thunder; it is usually produced by heavy rain, gusty wind, and the cumulonimbus cloud. The thunderstorm is made up of moisture, unstable air and lift.
Q:A person of good understanding knowledge and Reasoning power 7386 05b5cc6aae4d2b4197774cf425b5cc6aae4d2b4197774cf42
Answer : 4. "Intellectual"
Answer: D) Intellectual Explanation: The one word substitute for A person of good understanding knowledge and Reasoning power is Intellectual.
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: 6469 15b5cc7d7e4d2b419777515105b5cc7d7e4d2b41977751510
- 175 litresfalseCorrectWrong
- 2100 litresfalseCorrectWrong
- 3150 litresfalseCorrectWrong
- 4120 litrestrueCorrectWrong
Answer : 4. "120 litres"
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.