GATE Practice Question and Answer

Q: _____ ties-up with Airtel to roll out integrated digital offerings to customers in 2017 ? 1269 0

  • 1
    Uber cabs
    Correct
    Wrong
  • 2
    Ola cabs
    Correct
    Wrong
  • 3
    Cabs 24
    Correct
    Wrong
  • 4
    Dot cabs
    Correct
    Wrong
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Answer : 2. "Ola cabs"
Explanation :

Answer: B) Ola cabs Explanation: India's largest cab aggregator Ola has partnered with Bharti Airtel to launch a range of integrated digital offerings to customers.  As part of the partnership, Ola will integrate Airtel Payments bank to its app and Airtel will integrate Ola's mobile wallet Ola Money as a payment solution on Airtel website and MyAirtel app for mobile recharges and bill payments.

Q: One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is red. 1267 0

  • 1
    2/3
    Correct
    Wrong
  • 2
    1/2
    Correct
    Wrong
  • 3
    1/52
    Correct
    Wrong
  • 4
    13/51
    Correct
    Wrong
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Answer : 2. "1/2"
Explanation :

Answer: B) 1/2 Explanation: We know that: When one card is drawn from a pack of 52 cards The numbers of possible outcomes n(s) = 52 We know that there are 26 red cards in the pack of 52 cards⇒ The numbers of favorable outcomes n(E) = 26 Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S) ∴ required probability = 26/52 = 1/2.

Q: Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ? 1266 0

  • 1
    60 mts
    Correct
    Wrong
  • 2
    120 mts
    Correct
    Wrong
  • 3
    240 mts
    Correct
    Wrong
  • 4
    360 mts
    Correct
    Wrong
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Answer : 4. "360 mts"
Explanation :

Answer: D) 360 mts Explanation: Speed of the Train K is given by s = d/t = 240/20 = 12 m/sDistance covered by Train K in 50 seconds = 12 x 50 = 600 mts.But it crosses Train L in 50 seconds Therefore, the length of the Train L is = 600 - 240 = 360 mts.

Q: A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ? 1264 0

  • 1
    400 m
    Correct
    Wrong
  • 2
    300 m
    Correct
    Wrong
  • 3
    500 m
    Correct
    Wrong
  • 4
    600 m
    Correct
    Wrong
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Answer : 1. "400 m"
Explanation :

Answer: A) 400 m Explanation: Speed = 78 x 5/18 = 65/3 m/sec.Time = 1 min = 60 sec.Let the length of the train be x meters.Then, (900 + x)/60 = 65/3x = 400 m.

Q: A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ? 1263 0

  • 1
    32 hrs
    Correct
    Wrong
  • 2
    24 hrs
    Correct
    Wrong
  • 3
    28 hrs
    Correct
    Wrong
  • 4
    26 hrs
    Correct
    Wrong
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Answer : 3. "28 hrs"
Explanation :

Answer: C) 28 hrs Explanation: 1/K + 1/L + 1/M = 1/8 (Given)Also given that K = 2L and L = 2M=> 1/2L + 1/L + 2/L = 1/8=> (1 + 2 + 4)/2L = 1/8=> 2L/7 = 8=> L = 28 hours.

Q: Why are manhole covers round? 1263 0

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Answer :
Explanation :

A number of possible explanations for why manhole covers are round include :   1. A round manhole cover cannot fall through its circular opening, whereas a square, rectangular, or oval manhole cover could fall in if it were inserted diagonally in the hole. 2. Circular covers don’t need to be rotated or precisely aligned when placing them on the opening. 3. A round manhole cover is easily moved and rolled. 4. Human beings have a roughly circular cross-section. 5. Round tubes are the strongest shape against the compression of the earth around them, so the cover of the tube would naturally be round as well. 6. It’s easier to dig a circular hole.

Q: Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4? 1260 0

  • 1
    3/7
    Correct
    Wrong
  • 2
    7/11
    Correct
    Wrong
  • 3
    5/9
    Correct
    Wrong
  • 4
    6/13
    Correct
    Wrong
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Answer : 3. "5/9"
Explanation :

Answer: C) 5/9 Explanation: Here n(S) = 6 x 6 = 36 E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)} => n(E)=20 Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

Q: Oxidation Number of 'S' in H2SO4? 1259 0

  • 1
    +6
    Correct
    Wrong
  • 2
    +2
    Correct
    Wrong
  • 3
    -6
    Correct
    Wrong
  • 4
    -2
    Correct
    Wrong
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Answer : 1. "+6"
Explanation :

Answer: A) +6 Explanation: In H2SO4, Hydrogen has a charge of +2, with each hydrogen has +1. Oxygen has  a charge of -8, with each oxugen has -2. Total charge = (2 - 8) = -6 Therefore, the Oxidation number of Sulphur S is '+6' because to make the compound stable.

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