GATE Practice Question and Answer
8Q: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ? 2373 05b5cc71ee4d2b4197774f568
5b5cc71ee4d2b4197774f568- 176%false
- 272%false
- 380%true
- 482%false
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Answer : 3. "80%"
Explanation :
Answer: C) 80% Explanation: circumference of A = 2πr = 8 => so r = 4πvolume = π×4π2×10 = 160πcircumference of B = 2πr = 10 => so r = 5πvolume = π×5π2×8 = 200πso ratio of capacities = 160/200 = 0.8 so capacity of A will be 80% of the capacity of B.
Q: Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh? 2371 05b5cc6a6e4d2b4197774cdd9
5b5cc6a6e4d2b4197774cdd9- 1Rs. 5000true
- 2Rs. 6200false
- 3Rs. 8100false
- 4R. 7600false
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Answer : 1. "Rs. 5000"
Explanation :
Answer: A) Rs. 5000 Explanation: Let the amount invested by saketh = RS. p Now, that of sandeep = 20,000 x 6 saketh = 12 x p Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000) => 12000012p = 60003000 => p= Rs. 5000 Hence, the amount investe by saketh = Rs. p = Rs. 5000.
Q: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ? 2370 05b5cc6dce4d2b4197774e997
5b5cc6dce4d2b4197774e997- 15 kmphfalse
- 27 kmphfalse
- 33 kmphfalse
- 44 kmphtrue
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Answer : 4. "4 kmph"
Explanation :
Answer: D) 4 kmph Explanation: Speed of Man = 4.5 kmphSpeed of stream = 1.5 kmphSpeed in DownStream = 6 kmphSpeed in UpStream = 3 kmphAverage Speed = (2 x 6 x 3)/9 = 4 kmph.
Q: Which number replaces 'x' in the below figure ? 2370 05b5cc774e4d2b41977750052
5b5cc774e4d2b41977750052- 12false
- 29true
- 311false
- 412false
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Answer : 2. "9"
Explanation :
Answer: B) 9 Explanation: Here in 2nd column if you add the individual digits we get 3 + 7 + 0 =10 , 2 + 2 + 4 = 8 , 7 + 3 + 0 = 10 7 10 3 --> 7+3 =10 6 8 2 --> 6+2 =8 x 10 1 --> x+1 =10 Here we can observe that by adding 1st and 3rd column elements we get 2nd column elements --> x = 9
Q: Which of the following is an Autotroph? 2369 05b5cc6b1e4d2b4197774d355
5b5cc6b1e4d2b4197774d355- 1Fishfalse
- 2Algaetrue
- 3Butterflyfalse
- 4Mushroomfalse
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Answer : 2. "Algae"
Explanation :
Answer: B) Algae Explanation: Here from the above options, Algae is an Autotroph. Autotrophs : An Autotroph is also called as Producer, is an organism that produces complex organic compounds from simple substances present in its surroundings, generally using energy from light or inorganic chemical reactions.
Q: If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ? 2369 05b5cc764e4d2b4197774fd80
5b5cc764e4d2b4197774fd80- 1100 mtsfalse
- 296 mtsfalse
- 398 mtstrue
- 4120 mtsfalse
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Answer : 3. "98 mts"
Explanation :
Answer: C) 98 mts Explanation: Let the distance between home and school is 'x'.Let actual time to reach be 't'.Thus, x/4 = t + 4 ---- (1)and x/6 = t - 30 -----(2)Solving equation (1) and (2)=> x = 98 mts.
Q: The purpose of choke in tube light is 2368 05b5cc6a6e4d2b4197774cd28
5b5cc6a6e4d2b4197774cd28- 1Induce high voltagetrue
- 2Induce low resistancefalse
- 3Induce high resistancefalse
- 4Induce low voltagefalse
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Answer : 1. "Induce high voltage"
Explanation :
Answer: A) Induce high voltage Explanation: When the switch is ON, in a tube light choke is nothing but the coil/ballast ( inductor) which is used to induce the high voltage across it. as we know that inductor has property to induce high voltage for the brief period of time, this high voltage is required to ionize the gases in the starter. Then gas inside the starter gets ionized due to this full voltage and heats the bimetallic strip that is caused to be bent to connect to the fixed contact. Current starts flowing through the starter. Although the ionization potential of the neon is the little bit more than that of the argon but still due to small electrode gap high voltage gradient is appeared in the neon bulb and hence glow discharge is started first in a starter. As voltage gets reduced due to the current causes a voltage drop across the inductor, the strip cools and breaks away from the fixed contact. At that moment a large L di/dt voltage surge comes across the inductor at the time of breaking. This high valued surge comes across the tube light electrodes and strikes penning mixture (mixture argon gas and mercury vapor). Gas discharge process continues and current gets the path to flow through the tube light gas only due to low resistance as compared to the resistance of starter.
Q: Express 3/8 and 1/10 as a Decimals? 2368 05b5cc6b3e4d2b4197774d437
5b5cc6b3e4d2b4197774d437- 11.375 & 1false
- 20.375 & 1false
- 313.75 & 1.1false
- 40.375 & 0.1true
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Answer : 4. "0.375 & 0.1"
Explanation :
Answer: D) 0.375 & 0.1 Explanation: 3/8 as a Decimal : In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple. Now to make 8 into 1000, we multiply numerator and denominator with 125 => 3 x 1258 x 125 = 3751000 = 0.375 1/10 as a Decimal : 1 divided into 10 parts of each 0.1. Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

