GATE Practice Question and Answer

Q: There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ? 4409 0

  • 1
    105
    Correct
    Wrong
  • 2
    7! x 6!
    Correct
    Wrong
  • 3
    7!/5!
    Correct
    Wrong
  • 4
    420
    Correct
    Wrong
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Answer : 1. "105"
Explanation :

Answer: A) 105 Explanation: Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room,   Then, 7C1 x 6C2 x 4C4  = 7 x 15 x 1 = 105

Q: P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ? 4380 0

  • 1
    3 km/hr
    Correct
    Wrong
  • 2
    4 km/hr
    Correct
    Wrong
  • 3
    5 km/hr
    Correct
    Wrong
  • 4
    6 km/hr
    Correct
    Wrong
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Answer : 2. "4 km/hr"
Explanation :

Answer: B) 4 km/hr Explanation: Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.   So, 24/x + 24/(7 - x) = 14   x2 - 98x + 168 = 0   (x - 3)(x - 4) = 0 => x = 3 or 4.   Since, P is faster than Q,   so P's speed = 4 km/hr and Q's speed = 3 km/hr.

Q: "Good Samaritan Policy" has been launched by which state / union territory government? 4380 0

  • 1
    Delhi
    Correct
    Wrong
  • 2
    Karnataka
    Correct
    Wrong
  • 3
    Telangana
    Correct
    Wrong
  • 4
    Gujarath
    Correct
    Wrong
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Answer : 1. "Delhi"
Explanation :

Answer: A) Delhi Explanation: The Delhi government has recently approved 'Good Samaritan Policy' under which monetary incentive of Rs 2,000 and appreciation certificate will be given to people who help road accident victims in the national capital. The scheme is intended to encourage people to take accident victims in emergency situation to hospitals so that someone’s life could be saved.

Q: Artist is to painting as senator is to 4365 0

  • 1
    politician
    Correct
    Wrong
  • 2
    constituents
    Correct
    Wrong
  • 3
    attorney
    Correct
    Wrong
  • 4
    law
    Correct
    Wrong
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Answer : 4. "law"
Explanation :

Answer: D) law Explanation: As we know that an artist makes paintings, similarly, a senator makes laws.   Hence, Artist : Painting :: Senator : Law.

Q: Ezra cup is associated with which sports? 4353 0

  • 1
    Hockey
    Correct
    Wrong
  • 2
    Polo
    Correct
    Wrong
  • 3
    Rowing
    Correct
    Wrong
  • 4
    Football
    Correct
    Wrong
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Answer : 2. "Polo"
Explanation :

Answer: B) Polo Explanation: The Ezra Cup is a popular polo tournament conducted annually in India. The Calcutta Polo Club runs this oldest and first ever Polo Trophy. The first Ezra Cup was held in 1880. After a period of inactivity, it has now been revived by Mr. Keshav Bangur, Calcutta Polo Club's president.

Q: Vinod have 20 rupees. He bought 1, 2, 5 rupee stamps. They are different in numbers by the reason of no change, the shop keeper gives 3 one rupee stamps. So how many stamps Vinod have ? 4349 0

  • 1
    10
    Correct
    Wrong
  • 2
    18
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 1. "10"
Explanation :

Answer: A) 10 Explanation: Given total rupees = 20 RsNo. of one rupee stamps = 3Now, remaining money = Rs. 17With that he buys only 2 and 5 rupee stampsLet number of Rs. 5 stamps = KLet number of Rs. 2 stamps = L5K + 2L = 17K = 3, L = 1 (possible)L = 6, K = 1 (possible)=> But given that they are different in number so, K is not equal to 3one rupee stamps = 32 two stamps = 65 rupee stamps = 1Total number of stamps = 10.

Q: A company requires 12,100 strength. Present employees are 400 ladies and 6400 gents. To reach the target how many ladies required to maintain the same ratio ? 4347 0

  • 1
    400
    Correct
    Wrong
  • 2
    600
    Correct
    Wrong
  • 3
    900
    Correct
    Wrong
  • 4
    700
    Correct
    Wrong
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Answer : 3. "900"
Explanation :

Answer: C) 900 Explanation: 6,400 gents, 2400 ladies in that company.So total 8,800employees.for 8,800 employees, we want 2400 ladies.for 12,100employees we want how many ladies ?=> (12,100/8,800) x 2400 = 3300.So we want 3300 - 2400 = 900 more ladies.

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