GATE Practice Question and Answer

Q: The sum of one-half, one-third and one-fourth of a number exceeds the number by 22. The number is 1824 0

  • 1
    264
    Correct
    Wrong
  • 2
    284
    Correct
    Wrong
  • 3
    215
    Correct
    Wrong
  • 4
    302
    Correct
    Wrong
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Answer : 1. "264"
Explanation :

Answer: A) 264 Explanation: Let the number be 'x'. Then, from given data x/2 + x/3 + x/4 = x+2213x/12 = x+22x = 264

Q: Nucleus of Hydrogen atom consists of 1824 0

  • 1
    2 protons only
    Correct
    Wrong
  • 2
    2 neutrons only
    Correct
    Wrong
  • 3
    1 proton only
    Correct
    Wrong
  • 4
    1 electron only
    Correct
    Wrong
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Answer : 3. "1 proton only"
Explanation :

Answer: C) 1 proton only Explanation: The nucleus of hydrogen consists of only a single proton. Its parts are a single negatively-charged electron that circles a single positively-charged nucleus of the hydrogen atom. The electron is bound to the nucleus by the Coulomb force.

Q: Find the Missing Number Puzzle for the Given 1824 0

  • 1
    8
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: Given   6 = 3 => Number of letters in SIX = 3   12 = 6 => Number of letters in TWELVE = 6   14 = 8 => Number of letters in FOURTEEN = 8   Similarly,   22 = 9 => Number of letters in TWENTY TWO = 9           Therefore, 22 = 9.

Q: Manideep purchases 30kg of barley at the rate of 11.50/kg and 20kg at the rate of 14.25/kg. He mixed the two and sold the mixture in the shop. At what price per kg should he sell the mixture to make 30% profit to him ? 1823 0

  • 1
    15.84
    Correct
    Wrong
  • 2
    14.92
    Correct
    Wrong
  • 3
    13.98
    Correct
    Wrong
  • 4
    16.38
    Correct
    Wrong
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Answer : 4. "16.38"
Explanation :

Answer: D) 16.38 Explanation: Given, Manideep purchases 30kg of barley at the rate of 11.50/kg nad 20kg at the rate of 14.25/kg. Total cost of the mixture of barley = (30 x 11.50) + (20 x 14.25) => Total cost of the mixture = Rs. 630 Total kgs of the mixture = 30 + 20 = 50kg Cost of mixture/kg = 630/50 = 12.6/kg To make 30% of profit => Selling price for manideep = 12.6 + 30% x 12.6 => Selling price for manideep = 12.6 + 3.78 = 16.38/kg.

Q: A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ? 1823 0

  • 1
    (1/2)^11
    Correct
    Wrong
  • 2
    (9)(1/2)
    Correct
    Wrong
  • 3
    (11C2)(1/2)^9
    Correct
    Wrong
  • 4
    (1/2)
    Correct
    Wrong
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Answer : 1. "(1/2)^11"
Explanation :

Answer: A) (1/2)^11 Explanation: Probability of occurrence of an event,  P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S) ⇒ Probability of getting head in one coin = ½,  ⇒ Probability of not getting head in one coin = 1- ½ = ½,  Hence,  All the 11 tosses are independent of each other. ∴ Required probability of getting only 2 times heads =122×129=1211

Q: When was Zoroastrianism founded? 1823 0

  • 1
    4th century BCE
    Correct
    Wrong
  • 2
    6th century BCE
    Correct
    Wrong
  • 3
    8th century BCE
    Correct
    Wrong
  • 4
    10th century BCE
    Correct
    Wrong
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Answer : 2. "6th century BCE"
Explanation :

Answer: B) 6th century BCE Explanation: Zoroastrianism is one of the world's oldest extant religions. It is the ancient pre-Islamic religion of Iran that survives there in isolated areas and, more prosperously, in India, where the descendants of Zoroastrian Iranian (Persian) immigrants are known as Parsis, or Parsees.   The Iranian prophet and religious reformer Zarathustra flourished before the 6th century BCE more widely known outside Iran as Zoroaster is traditionally regarded as the founder of the religion.   Zoroastrianism contains both monotheistic and dualistic features. It likely influenced the other major Western religions—Judaism, Christianity, and Islam.

Q: Who has become world's no.1 Junior Badminton player in 2017 ? 1822 0

  • 1
    Chia Hao Lee
    Correct
    Wrong
  • 2
    Lakshya Sen
    Correct
    Wrong
  • 3
    Chirag Sen
    Correct
    Wrong
  • 4
    Karthikey Gulshan Kumar
    Correct
    Wrong
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Answer : 2. "Lakshya Sen"
Explanation :

Answer: B) Lakshya Sen Explanation: India's Lakshya Sen has become the World No 1 Junior Badminton player. He achieved the distinction in the latest rankings of the Badminton World Federation (BWF). Fifteen-year-old is the first shuttler from Uttarakhand to attain the numero uno spot at the international level. Lakshya, who is considered as the shining future star of Indian badminton, moved ahead of Chia Hao Lee of the Chinese Taipei, to attain the top spot. According to BWF current rankings, Lakshya has 16,903 points in eight tournaments he has played in the season. Chia Hao, who is at the second spot, has 16,091 points.

Q: 18 tens 20 ones = 1822 0

  • 1
    1820
    Correct
    Wrong
  • 2
    180
    Correct
    Wrong
  • 3
    200
    Correct
    Wrong
  • 4
    160
    Correct
    Wrong
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Answer : 3. "200"
Explanation :

Answer: C) 200 Explanation: 18 tens 20 ones, the given stateent can be split into 18 tens = 18 x 10 = 180 20 ones = 20 x 1 = 20   Then add both => 180 + 20 = 200   Hence, 18 tens 20 ones = 200.

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