GATE Practice Question and Answer

Q: A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ? 2245 0

  • 1
    55 kmph
    Correct
    Wrong
  • 2
    58 kmph
    Correct
    Wrong
  • 3
    60 kmph
    Correct
    Wrong
  • 4
    66 kmph
    Correct
    Wrong
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Answer : 3. "60 kmph"
Explanation :

Answer: C) 60 kmph Explanation: Speed on return trip = 150% of 50 = 75 km/hr. Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.

Q: Two stations A and B are 200 km apart on a straight track. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? 2245 0

  • 1
    12 a.m.
    Correct
    Wrong
  • 2
    1 p.m.
    Correct
    Wrong
  • 3
    11 a.m.
    Correct
    Wrong
  • 4
    12 p.m.
    Correct
    Wrong
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Answer : 4. "12 p.m."
Explanation :

Answer: D) 12 p.m. Explanation: Assume both trains meet after 'p' hours after 7 a.m.Distance covered by train starting from A in 'p' hours = 20p kmDistance covered by train starting from B in (p-1) hours = 25(p-1)Total distance = 200=> 20x + 25(x-1) = 200=> 45x = 225=> p= 5Means, they meet after 5 hours after 7 am, ie, they meet at 12 p.m.

Q: The oldest form of composition of Hindustan Vocal music is 2245 1

  • 1
    Thumri
    Correct
    Wrong
  • 2
    Ghazal
    Correct
    Wrong
  • 3
    Dhrupad
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Dhrupad"
Explanation :

Answer: C) Dhrupad Explanation:

Q: Electrical Pressure is also called 2245 0

  • 1
    Current
    Correct
    Wrong
  • 2
    Voltage
    Correct
    Wrong
  • 3
    Resistance
    Correct
    Wrong
  • 4
    Power
    Correct
    Wrong
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Answer : 2. "Voltage"
Explanation :

Answer: B) Voltage Explanation: Electrical Pressure is also called as Voltage. Voltage is measured in Volts.   Volt : A unit of electrical pressure or Voltage is called Volt.   One volt is the amount of pressure required to cause one ampere of current to flow against one ohm of resistance.   Voltage is also referred to as Electromotive Force or Electrical Potential or Electrical Pressure.

Q: A shopkeeper sold a mobile phone for Rs. 12000. Had he offered discount of 10% on the selling price, there would be a loss of 4%. What is the cost price of that Mobile phone? 2244 0

  • 1
    Rs. 12,500
    Correct
    Wrong
  • 2
    Rs. 11,250
    Correct
    Wrong
  • 3
    Rs. 12,750
    Correct
    Wrong
  • 4
    Rs. 11,680
    Correct
    Wrong
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Answer : 2. "Rs. 11,250"
Explanation :

Answer: B) Rs. 11,250 Explanation: Given that SP = Rs. 12000 - 10%  = Rs. 10,800 Loss% = 4 We know that, C.P = 100/(100 - Loss%) x 100 => 100/100-4 x 10800 => 1080000/96 C.P = Rs. 11,250

Q: Two persons K and L can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days ? 2243 0

  • 1
    1/6
    Correct
    Wrong
  • 2
    1/3
    Correct
    Wrong
  • 3
    2/3
    Correct
    Wrong
  • 4
    1/18
    Correct
    Wrong
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Answer : 1. "1/6"
Explanation :

Answer: A) 1/6 Explanation: K's one day's work = 1/30 L's one day's work = 1/45 (K + L)'s one day's work = 1/30 + 1/45 = 1/18 The part of the work completed in 3 days = 3 (1/18) = 1/6.

Q: A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red. 2243 0

  • 1
    23/42
    Correct
    Wrong
  • 2
    19/42
    Correct
    Wrong
  • 3
    7/32
    Correct
    Wrong
  • 4
    16/39
    Correct
    Wrong
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Answer : 2. "19/42"
Explanation :

Answer: B) 19/42 Explanation: A red ball can be drawn in two mutually exclusive ways  (i) Selecting bag I and then drawing a red ball from it.   (ii) Selecting bag II and then drawing a red ball from it.   Let E1, E2 and A denote the events defined as follows: E1 = selecting bag I, E2 = selecting bag II A = drawing a red ball Since one of the two bags is selected randomly, therefore  P(E1) = 1/2  and  P(E2) = 1/2 Now, PAE1 = Probability of drawing a red ball when the first bag has been selected = 4/7   PAE2  = Probability of drawing a red ball when the second bag has been selected = 2/6  Using the law of total probability, we have   P(red ball) = P(A) = PE1×PAE1+PE2×PAE2                              = 12×47+12×26=1942

Q: In how many ways the letters of the word OLIVER be arranged so that the vowels in the word always occur in the dictionary order as we move from left to right ? 2241 0

  • 1
    186
    Correct
    Wrong
  • 2
    144
    Correct
    Wrong
  • 3
    136
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 4. "120"
Explanation :

Answer: D) 120 Explanation: In given word OLIVER there are 3 vowels E, I & O. These can be arranged in only one way as dictionary order E, I & O.   There are 6 letters in thegiven word.   First arrange 3 vowels.   This can be done in 6C3 ways and that too in only one way.(dictionary order E, I & O)   Remaining 3 letters can be placed in 3 places = 3! ways   Total number of possible ways of arranging letters of OLIVER = 3! x C36 ways = 6x5x4 = 120 ways.

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