GATE Practice Question and Answer
8Q: A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: 2077 05b5cc6d6e4d2b4197774e65b
5b5cc6d6e4d2b4197774e65b- 149 kmphtrue
- 250 kmphfalse
- 351 kmphfalse
- 452 kmphfalse
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Answer : 1. "49 kmph"
Explanation :
Answer: A) 49 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'x' km/hr. Then, relative speed = (x - 4) km/hr. x - 4 = 45 => x = 49 km/hr.
Q: 12 as a percentage? 2076 05b5cc696e4d2b4197774c570
5b5cc696e4d2b4197774c570- 150%true
- 25%false
- 30.5%false
- 40.05%false
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Answer : 1. "50%"
Explanation :
Answer: A) 50% Explanation: 1/2 as a percentage means 1/2 = 0.5 in decimal Now, in percentage means 0.5 x 100% = 50%.
Q: Which of the following elements is a metalloid? 2075 05b5cc622e4d2b4197774b7ce
5b5cc622e4d2b4197774b7ce- 1arsenicfalse
- 2boronfalse
- 3antimonyfalse
- 4All of the abovetrue
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Answer : 4. "All of the above"
Explanation :
Answer: D) All of the above Explanation: A metalloid is any chemical element which has properties in between those of metals and nonmetals, or that has a mixture of them. The six commonly recognised metalloids are boron, silicon, germanium, arsenic, antimony, and tellurium.
Q: The total simple interest earned on a sum of money increases by Rs. 600 when the rate of interest increases by 2% per annum. If the investment was made for 5 years, find the sum of money that was invested ? 2075 05b5cc6cae4d2b4197774e03b
5b5cc6cae4d2b4197774e03b- 1Rs. 6000true
- 2Rs. 5550false
- 3Rs. 7500false
- 4Rs. 6580false
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Answer : 1. "Rs. 6000"
Explanation :
Answer: A) Rs. 6000 Explanation: Let the sum invested be Rs. P Let the rate of interest be R% per annum => Interest earned for 5 years = (P x 5 x R/100) = PR/20 Now, given that the interest earned increased by Rs. 600 if the Rate increased to (R+2)% => SI = (P x 5 x (R+2))/100 = PR/20 + 10P/100 Hence, PR/20 + 10P/100 = PR/20 + 600 => P = 6000 Therefore, the sum invested is Rs. 6000
Q: Raghu can complete a work in 12days working 9 hours a day. Arun can complete the same work in 8 days working 11 hours a day. If both Raghu and Arun work together, working 12 hours a day, in how many days can they complete the work ? 2075 05b5cc774e4d2b41977750034
5b5cc774e4d2b41977750034- 13449 daysfalse
- 212449 daysfalse
- 34349 daystrue
- 441249 daysfalse
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Answer : 3. "4349 days"
Explanation :
Answer: C) Option C Explanation: Raghu can complete the work in (12 x 9)hrs = 108 hrs. Arun can complete the work in (8 x 11)hrs = 88 hrs. Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88 (Raghu + Arun)'s 1 hrs work = 1108+188=492376 So, both Raghu and Arun will finish the work in 237649 hrs Number of days of 12 hours each=237649×112 = 19849=4349 days
Q: 50 men can build a tank in 40days, but though they begin the work together, 5 men quit every ten days. The time needed to build the tank is ? 2075 05b5cc76fe4d2b4197774ff71
5b5cc76fe4d2b4197774ff71- 150 daystrue
- 248 daysfalse
- 347.5 daysfalse
- 449 daysfalse
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Answer : 1. "50 days"
Explanation :
Answer: A) 50 days Explanation: 50 men can build a tank in 40 days Assume 1 man does 1 unit of work in 1 day Then the total work is 50×40 = 2000 units 50 men work in the first 10 days and completes 50×10 = 500 units of work 45 men work in the next 10 days and completes 45×10 = 450 units of work 40 men work in the next 10 days and completes 40×10 = 400 units of work 35 men work in the next 10 days and completes 35×10 = 350 units of work So far 500 + 450 + 400 + 350 = 1700 units of work is completed and Remaining work is 2000 - 1700 = 300 units 30 men work in the next 10 days. In each day, they does 30 units of work. Therefore, additional days required = 300/30 =10 Thus, total 10+10+10+10+10 = 50 days required.
Q: A jeep travels a certain distance taking 6 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 4 hrs. What is the distance travelled by the jeep is ? 2075 05b5cc754e4d2b4197774fb5d
5b5cc754e4d2b4197774fb5d- 1244 kmfalse
- 2144 kmtrue
- 3444 kmfalse
- 4344 kmfalse
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Answer : 2. "144 km"
Explanation :
Answer: B) 144 km Explanation: Given a jeep travels a certain distance taking 6 hrs in forward journeyDuring the return journey, it takes 4 hrs with an increased speed 12 km/hrLet 'x' be the distance.Now, speed is given by distance/time.Here the difference between both speeds = 12 x4 - x6 = 12 3x - 2x12 = 12 => x = 144 km Therefore, the distance travelled by the jeep in forward or return journey is x = 144 km.
Q: Orkut’s creator Buyukkokten has launched a new social network called ________, which is available on mobile only. 2073 05b5cc6dde4d2b4197774e9f6
5b5cc6dde4d2b4197774e9f6- 1Callerfalse
- 2Hellotrue
- 3Hifalse
- 4Hayfalse
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Answer : 2. "Hello"
Explanation :
Answer: B) Hello Explanation: Orkut’s creator Buyukkokten has launched a new social network called Hello, which is available on mobile only. The Hello.com app is available on Android and iOS in the following countries: US, Canada, Britain, France, Australia, Brazil, Ireland. Germany, Mexico and India are next on the list and the app should be available this month.

