GATE Practice Question and Answer

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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: There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ? 2379 0

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    1/10
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  • 2
    1/9
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 4. "0"
Explanation :

Answer: D) 0 Explanation: As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address P(E) = favorable outcomes /total outcomesHere favorable outcomes are '0'.So probability is '0'.

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

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    2
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  • 2
    3
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    4
    Correct
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  • 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.

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: 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 :   1. Contains an infinite number of points 2. can be used to create other geometric shapes 3. is a term that does not have a formal definition   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 2377 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
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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: 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 ? 2374 0

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    6
    Correct
    Wrong
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    8
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    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

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.⇒88180×100  = 48.888%.

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