GATE Practice Question and Answer

Q: Frugal : Parsimonious :: ? 4469 0

  • 1
    joy : ecstasy
    Correct
    Wrong
  • 2
    rich : poor
    Correct
    Wrong
  • 3
    love : hate
    Correct
    Wrong
  • 4
    poor : misery
    Correct
    Wrong
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Answer : 1. "joy : ecstasy"
Explanation :

Answer: A) joy : ecstasy Explanation: Frugal and parsimonious are synonyms of each other and bear the meaning 'being stingy' or 'sparing'. Similarly, joy and ecstasy are related to happiness.

Q: I learnt from my experience that by______ my anger and resentment, and by avoiding _________ I could overcome opponents more successfully than could those who openly defied their adversaries. 4464 0

  • 1
    suppressing, conflict
    Correct
    Wrong
  • 2
    expressing, hostility
    Correct
    Wrong
  • 3
    stifling, temperance
    Correct
    Wrong
  • 4
    rousing, wrath
    Correct
    Wrong
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Answer : 1. "suppressing, conflict"
Explanation :

Answer: A) suppressing, conflict Explanation:

Q: The product of a number and its multiplicative inverse is 4461 0

  • 1
    1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    -1
    Correct
    Wrong
  • 4
    Infinity
    Correct
    Wrong
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Answer : 1. "1"
Explanation :

Answer: A) 1 Explanation: The mutiplicative inverse of a number is nothing but a reciprocal of a number. Now, the product of a number and its multiplicative inverse is always equal to 1.   For example : Let the number be 15 Multiplicative inverse of 15 = 1/15 The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.

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Answer : 2. "26.166 minutes"
Explanation :

Answer: B) 26.166 minutes Explanation: Upto first 5 minutes I, J and K will fill => 5[(1/20)+(1/30)+(1/40)] = 65/120 For next 6 minutes, J and K will fill => 6[(1/30)+(1/40)] = 42/120 So tank filled upto first 11 minutes = (65/120) + (42/120) = 107/120 So remaining tank = 13/120 Now at the moment filling with C and leakage @ 1/60 per minute= (1/40) - (1/70) = 3/280.So time taken to fill remaining 13/120 tank =(13/120) /(3/280) = 91/6 minutes   Hence total time taken to completely fill the tank = 5 + 6 + 91/6 = 26.16 minutes.

Q: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ? 4404 0

  • 1
    8 kmph
    Correct
    Wrong
  • 2
    6 kmph
    Correct
    Wrong
  • 3
    7.5 kmph
    Correct
    Wrong
  • 4
    5.5 kmph
    Correct
    Wrong
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Answer : 2. "6 kmph"
Explanation :

Answer: B) 6 kmph Explanation: Speed of the stream = 1Motor boat speed in still water be = x kmphDown Stream = x + 1 kmphUp Stream = x - 1 kmph[35/(x + 1)] + [35/(x - 1)] = 12x = 6 kmph

Q: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow ? 4372 0

  • 1
    3/17
    Correct
    Wrong
  • 2
    4/21
    Correct
    Wrong
  • 3
    2/21
    Correct
    Wrong
  • 4
    5/17
    Correct
    Wrong
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Answer : 3. "2/21"
Explanation :

Answer: C) 2/21 Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35 Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105 Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35   Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21

Q: Solve the equation 122x+1 = 1 ? 4368 0

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

Answer: A) -1/2 Explanation: Rewrite equation as 122x+1 = 120   Leads to 2x + 1 = 0    Solve for x : x = -1/2

Q: Prophet of New India is 4343 0

  • 1
    Dayanand Saraswathi
    Correct
    Wrong
  • 2
    Sri Ramakrishna
    Correct
    Wrong
  • 3
    Swamy Vivekananda
    Correct
    Wrong
  • 4
    Raja Ram Mohan Roy
    Correct
    Wrong
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Answer : 2. "Sri Ramakrishna"
Explanation :

Answer: B) Sri Ramakrishna Explanation: Sri Ramakrishna is called as the Prophet of New India. Sri Ramakrishna (1836-86) mostly known as Ramakrishna Paramhamsa was a spiritual genius now respected in India and abroad as an outstanding saint of our times. His life and thoughts represents the highest and best of modern Hindu philosophy and practice. Reverence and admiration for him amongst Bengali elites led to the formation of the Ramakrishna Mission by his chief disciple Swami Vivekananda. His devotees look upon him as an incarnation or Avatara of the formless Supreme Brahman as described in the Vedanta while some devotees see him as an avatara of Vishnu.

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