GATE Practice Question and Answer

Q: The reactivity of an atom arises from 3082 0

  • 1
    the existence of unpaired electrons in the valence shell
    Correct
    Wrong
  • 2
    the energy differences between the electron shells
    Correct
    Wrong
  • 3
    the sum of the potential energies of all the electron shells
    Correct
    Wrong
  • 4
    the average distance of the outermost electron shell from the nucleus
    Correct
    Wrong
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Answer : 1. "the existence of unpaired electrons in the valence shell"
Explanation :

Answer: A) the existence of unpaired electrons in the valence shell Explanation: When atoms react they do so in order to reach the lowest energy, which is the most stable. The electrons orbitals will overlap in the way that reduces the energy the most. Orbitals of similar energy will produce the greatest stabilisation.The answer you gave isn't the whole story, it depends what species is reacting with what. The effective nuclear charge on the atom will affect the energy of the valance electrons.   Hence, the reactivity of an atom arises from the existence of unpaired electrons in the valence shell.

Q: In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ? 3080 0

  • 1
    Quarter months
    Correct
    Wrong
  • 2
    Half year
    Correct
    Wrong
  • 3
    2 years
    Correct
    Wrong
  • 4
    1 year
    Correct
    Wrong
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Answer : 2. "Half year"
Explanation :

Answer: B) Half year Explanation: 3300 ----- 3% ↑ (1st time interval, 99) → 3399. Here, time interval is given as half-yearly i.e. 6 months.

Q: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours  ? 3075 0

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

Answer: B) 3/4 hrs Explanation: Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time   so 1/3rd of the usual time = 15minor usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.

Q: A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group ? 3075 0

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    600
    Correct
    Wrong
  • 2
    610
    Correct
    Wrong
  • 3
    609
    Correct
    Wrong
  • 4
    599
    Correct
    Wrong
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Answer : 1. "600"
Explanation :

Answer: A) 600 Explanation: Two men, three women and one child can be selected in ⁴C₂ x ⁶C₃ x ⁵C₁ ways = 600 ways.

Q: In a hostel, there was food for 1000 students for one month. After 10 days, 1000 more students joined the hostel. How long would the students be able to carry on with the remaining food? 3072 0

  • 1
    10 days
    Correct
    Wrong
  • 2
    15 days
    Correct
    Wrong
  • 3
    20 days
    Correct
    Wrong
  • 4
    5 days
    Correct
    Wrong
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Answer : 1. "10 days"
Explanation :

Answer: A) 10 days Explanation: After 10 days, the remaining food would be sufficient for the 1000 students for 20 more days -->If 1000 more students are added, it shall be sufficient for only 10 days (as the no. of students is doubled, the days are halved).

Q: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 3066 1

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

Answer: B) 2 Explanation: Given a2 + b2 = c2   Now  1logc+ab  + 1logc-ab    = logbc+a + logbc-a   = logbc2-a2 = 2logbb = 2

Q: There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ? 3055 0

  • 1
    42 & 24
    Correct
    Wrong
  • 2
    38 & 26
    Correct
    Wrong
  • 3
    36 & 24
    Correct
    Wrong
  • 4
    44 & 28
    Correct
    Wrong
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Answer : 4. "44 & 28"
Explanation :

Answer: D) 44 & 28 Explanation: Letx = peacocks y = deers 2x + 4y = 200 x + y = 72 y = 72 - x 2x + 288 - 4x = 200 x = 44 peacocks y = 28 deers

Q: '.bak' extension refers to what kind of file? 3054 0

  • 1
    Document
    Correct
    Wrong
  • 2
    Movie/Video file
    Correct
    Wrong
  • 3
    Backup file
    Correct
    Wrong
  • 4
    Audio file
    Correct
    Wrong
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Answer : 3. "Backup file"
Explanation :

Answer: C) Backup file Explanation: In computing, ".bak" is a filename extension commonly used to signify a backup copy of a file.

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