GATE Practice Question and Answer

Q: What is the smallest number by which 2880 must be divided in order to make it into a perfect square ? 2379 0

  • 1
    2
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 4. "5"
Explanation :

Answer: D) 5 Explanation: By trial and error method, we get2880/3 = 960 is not a perfect square2880/4 = 720 is not a perfect square2880/5 = 576 which is perfect square of 24Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

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Answer : 1. "87"
Explanation :

Answer: A) 87 Explanation: Cp1 = p2 - p1 , Cp2 = p3 - p2 ......Cp23 = p24 - p23Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)All terms get cancelled, except p1 = 2 and p24 = 89 So Sum = -p1 + p24Sum of series = -2 + 89 = 87

Q: First Bank to introduce ATM in India is ? 2379 0

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    ICICI Bank
    Correct
    Wrong
  • 2
    HSBC Bank
    Correct
    Wrong
  • 3
    HDFC Bank
    Correct
    Wrong
  • 4
    YES Bank
    Correct
    Wrong
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Answer : 2. "HSBC Bank"
Explanation :

Answer: B) HSBC Bank Explanation: HSBC (Hongkong and Shanghai Banking Corporation) is the first bank to introduce ATM concept in India in the year 1987 in Mumbai.

Q: Which one of the following scripts of ancient India was written from right to left ? 2379 0

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    Brahmi
    Correct
    Wrong
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    Kharoshti
    Correct
    Wrong
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    Nandnagari
    Correct
    Wrong
  • 4
    Sharada
    Correct
    Wrong
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Answer : 2. "Kharoshti"
Explanation :

Answer: B) Kharoshti Explanation: The Kharoshi script is an ancient script used by the ancient Gandhara culture of South Asia primarily in modern-day Afghanistan and Pakistan to write the Gandhari language (a dialect of Prakrit) and the Sanskrit language.

Q: A line is an undefined term because it 2377 0

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Answer :
Explanation :

A line is an undefined term because of it : ┬а 1. Contains an infinite number of points 2.┬аcan be used to create other geometric shapes 3.┬аis a term that does not have a formal definition ┬а In Geometry, unless it's stated, a line will extend in one dimension and goes on forever in both ways.

Q: What does the Aufbau Principle state 2375 0

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    Electrons will be added to an atom starting from the lowest possible level or sublevel.
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    Electrons will be added to an atom only if the orbitals are different colors.
    Correct
    Wrong
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    Electrons will be added to an atom in a random order.
    Correct
    Wrong
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    Electrons will be added to an atom in a symmetrical manner.
    Correct
    Wrong
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Answer : 1. "Electrons will be added to an atom starting from the lowest possible level or sublevel."
Explanation :

Answer: A) Electrons will be added to an atom starting from the lowest possible level or sublevel. Explanation: The Aufbau Principle states that in the ground state of an atom, an electron enters the orbital with lowest energy first and subsequent electrons are fed in the order of increasing energies.

Q: A batsman scored 180 runs which included 11 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ? 2373 0

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    62.45%
    Correct
    Wrong
  • 2
    51.42%
    Correct
    Wrong
  • 3
    48.88%
    Correct
    Wrong
  • 4
    47.32%
    Correct
    Wrong
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Answer : 3. "48.88%"
Explanation :

Answer: C) 48.88% Explanation: Number of runs made by running = 180 - (11 x 4 + 8 x 6)= 180 - (92)= 88Now, we need to calculate 88 is what percent of 180.тЗТ88180├Ч100┬а = 48.888%.

Q: If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ? 2373 0

  • 1
    6
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
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    9
    Correct
    Wrong
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Answer : 3. "4"
Explanation :

Answer: C) 4 Explanation: N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120. Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

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