GATE Practice Question and Answer

Q: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ? 1649 0

  • 1
    58 sec
    Correct
    Wrong
  • 2
    62 sec
    Correct
    Wrong
  • 3
    60 sec
    Correct
    Wrong
  • 4
    50 sec
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "50 sec"
Explanation :

Answer: D) 50 sec Explanation: The distance to be covered = Sum of their lengths = 200 + 300 = 500 m. Relative speed = 72 -36 = 36 kmph = 36 x 5/18 = 10 mps. Time required = d/s = 500/10 = 50 sec.

Q: The former cricketer/cricketers who was/were inducted into the ICC Cricket Hall of Fame 2018 in Dublin, Ireland 1649 0

  • 1
    Claire Taylor
    Correct
    Wrong
  • 2
    Ricky Ponting
    Correct
    Wrong
  • 3
    Rahul Dravid
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "All of the above"
Explanation :

Answer: D) All of the above Explanation: Former captains Rahul Dravid of India, Ricky Ponting of Australia and retired England Women wicketkeeper-batter Claire Taylor were inducted into the ICC Cricket Hall of Fame 2018 during a glittering ceremony in Dublin, Ireland.   Former Team India captain Rahul Dravid has become the fifth Indian cricketer after Anil Kumble, Sunil Gavaskar, Bishan Singh Bedi and Kapil Dev to be inducted into the ICC Hall of Fame.

Q: Which of the following is not a prime number? 1649 0

  • 1
    5
    Correct
    Wrong
  • 2
    11
    Correct
    Wrong
  • 3
    21
    Correct
    Wrong
  • 4
    37
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "21"
Explanation :

Answer: C) 21 Explanation: A prime number is a whole number greater than 1 whose only factors are 1 and itself.   Factors of 5 are 1, 5 Factors of 11 are 1, 11 Factors of 21 are 1, 3, 7, 21 Factors of 37 are 1, 37.   Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.

Q: In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ? 1648 0

  • 1
    25 m
    Correct
    Wrong
  • 2
    21 m
    Correct
    Wrong
  • 3
    22 m
    Correct
    Wrong
  • 4
    19 m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "25 m"
Explanation :

Answer: A) 25 m Explanation: A:B = 200 : 169A:C = 200 : 182 CB = CA×AB    182200×200169   => 182:169   When C covers 182 m , B Covers 169 mWhen C covers 350 m , B Covers 169182×350=> 325 m       So C beats B by (350 - 325) = 25 m.

Q: Using numbers from 0 to 9 the number of 5 digit telephone numbers that can be formed is 1646 0

  • 1
    1,00,000
    Correct
    Wrong
  • 2
    59,049
    Correct
    Wrong
  • 3
    3439
    Correct
    Wrong
  • 4
    6561
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "3439"
Explanation :

Answer: C) 3439 Explanation: The numbers 0,1,2,3,4,5,6,7,8,9 are 10 in number while preparing telephone numbers any number can be used any number of times.   This can be done in 105ways, but '0' is there   So, the numbers starting with '0' are to be excluded is 94 numbers.    Total 5 digit telephone numbers = 105- 94 = 3439

Q: What is x squared plus x squared? 1645 0

  • 1
    4x
    Correct
    Wrong
  • 2
    2x^2
    Correct
    Wrong
  • 3
    x^4
    Correct
    Wrong
  • 4
    2x
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "2x^2"
Explanation :

Answer: B) 2x^2 Explanation: In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms.  Now x^2 + x^2 = 2x^2   Hence, x-squared plus x-squared is equal to 2 times x squared.

Q: In how many different ways can the letters of the word 'ABYSMAL' be arranged ? 1645 0

  • 1
    5040
    Correct
    Wrong
  • 2
    3650
    Correct
    Wrong
  • 3
    4150
    Correct
    Wrong
  • 4
    2520
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "2520"
Explanation :

Answer: D) 2520 Explanation: Total number of letters in the word ABYSMAL are 7   Number of ways these 7 letters can be arranged are 7! ways   But the letter is repeated and this can be arranged in 2! ways   Total number of ways arranging ABYSMAL = 7!/2! = 5040/2 = 2520 ways.

Q: How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ? 1642 0

  • 1
    48
    Correct
    Wrong
  • 2
    52
    Correct
    Wrong
  • 3
    38
    Correct
    Wrong
  • 4
    42
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "48"
Explanation :

Answer: A) 48 Explanation: Here distance d = 800 mts speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s time t = 800x1860x5= 48 sec.

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully