IIT JEE Practice Question and Answer

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 ? 4365 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

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Answer : 2. "8"
Explanation :

Answer: B) 8 Explanation:     AmitBharatNo.of Days4540Efficiency2.22Percent(=145)2.5 Percent(=140)   Amit did the work in 56 days = 56×145×2=2845    Therefore, Rest work 17/45 was done by Amit and Bharath = 174517360 = 8 days       ( since Amit and Bharath  do the work in one day = 145+140=17360)

Q: Prophet of New India is 4318 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.

Q: "Kargil Vijay Diwas" was observed on _____. 4296 0

  • 1
    26 July
    Correct
    Wrong
  • 2
    27 July
    Correct
    Wrong
  • 3
    25 July
    Correct
    Wrong
  • 4
    29 July
    Correct
    Wrong
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Answer : 1. "26 July"
Explanation :

Answer: A) 26 July Explanation:

Q: The Ozone Layer restricts from 4282 0

  • 1
    Infrared Rays
    Correct
    Wrong
  • 2
    Radio waves
    Correct
    Wrong
  • 3
    Ultraviolet Radiation
    Correct
    Wrong
  • 4
    X-Rays and Gamma Rays
    Correct
    Wrong
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Answer : 3. "Ultraviolet Radiation"
Explanation :

Answer: C) Ultraviolet Radiation Explanation: The Ozone layer which is present in the Earth's atmosphere protects it by restricting from UV or Ultraviolet radiation, the dangerous rays contained by Sun.

Q: In India, planned economy is based on 4278 0

  • 1
    Mixed Economy System
    Correct
    Wrong
  • 2
    Capitalist System
    Correct
    Wrong
  • 3
    Gandhian System
    Correct
    Wrong
  • 4
    Socialist System
    Correct
    Wrong
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Answer : 4. "Socialist System"
Explanation :

Answer: D) Socialist System Explanation:

Q: A and B runs around a circular track. A beats B by one round or 10 minutes. In this race, they had completed 4 rounds. If the race was only of one round, find the A's time over the course: 4276 0

  • 1
    8 min
    Correct
    Wrong
  • 2
    7.5 min
    Correct
    Wrong
  • 3
    12.5 min
    Correct
    Wrong
  • 4
    12 min
    Correct
    Wrong
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Answer : 2. "7.5 min"
Explanation :

Answer: B) 7.5 min Explanation: B runs around the track in 10 min.  i.e ,    Speed of B = 10 min per round  Therefore,  A beats B by 1 round   Time taken  by A to complete 4 rounds    = Time taken by B to complete 3 rounds    = 30 min    Therefore, A's speed = 30/4 min per round = 7.5 min per round  Hence, if the race is only of one round A's time over the course = 7 min 30 sec

Q: What is the saddest fruit? 4273 0

  • 1
    Blackberries
    Correct
    Wrong
  • 2
    Strawberries
    Correct
    Wrong
  • 3
    Blueberries
    Correct
    Wrong
  • 4
    Pineapples
    Correct
    Wrong
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Answer : 3. "Blueberries"
Explanation :

Answer: C) Blueberries Explanation: Blueberries are the saddest fruits.   Reason :: In English some colors are associated with feelings. Blue is associated with sadness. When you "feel blue" it means that you are feeling sad.   Hence, as blueberries has blue in its name it indicates that that is the saddest fruit in logic.

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