IIT JEE Practice Question and Answer

Q: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a girl sitting at window seat in the slower train in 32 seconds. Find the length of the faster train ? 5354 0

  • 1
    170 m
    Correct
    Wrong
  • 2
    100 m
    Correct
    Wrong
  • 3
    270 m
    Correct
    Wrong
  • 4
    320 m
    Correct
    Wrong
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Answer : 4. "320 m"
Explanation :

Answer: D) 320 m Explanation: Relative speed = (72 - 36) x 5/18 = 2 x 5 = 10 mps.Distance covered in 32 sec = 32 x 10 = 320 m. The length of the faster train = 320 m.

Q: Who translated Ramayana into Persian? 5349 0

  • 1
    Abdul Fazi
    Correct
    Wrong
  • 2
    Badauni
    Correct
    Wrong
  • 3
    Isar Das
    Correct
    Wrong
  • 4
    Abdul Latif
    Correct
    Wrong
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Answer : 1. "Abdul Fazi"
Explanation :

Answer: A) Abdul Fazi Explanation: In 1574 Akbar started a Maktab Khana or a house of translation works in Fatehpur Sikri. He endorsed the work to a few officials to make translations of the Sanskrit books Rajatarangini, Ramayana and Mahabharata into the Persian language. In that officials, Abdul Fazi translated Ramayana into Persian.

Q: Lichens are the best indicator of 5348 1

  • 1
    Air pollution
    Correct
    Wrong
  • 2
    Sound pollution
    Correct
    Wrong
  • 3
    Noise pollution
    Correct
    Wrong
  • 4
    Water pollution
    Correct
    Wrong
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Answer : 1. "Air pollution"
Explanation :

Answer: A) Air pollution Explanation: 1. Lichens are plants that grow in exposed places such as rocks or tree bark.   2.  Lichens are widely used as environmental indicators or bio-indicators. They can be used as air pollution indicators, especially of the concentration of sulfur-di-oxide in the atmosphere.     3. They need to be very good at absorbing water and nutrients to grow there.

Q: Which of these relationships is true of an uncharged atom? 5339 0

  • 1
    The atomic mass is equal to the atomic number.
    Correct
    Wrong
  • 2
    The number of electrons is equal to the number of neutrons.
    Correct
    Wrong
  • 3
    The number of protons is equal to the number of electrons.
    Correct
    Wrong
  • 4
    The atomic mass is equal to the number of electrons.
    Correct
    Wrong
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Answer : 3. "The number of protons is equal to the number of electrons."
Explanation :

Answer: C) The number of protons is equal to the number of electrons. Explanation: The number of protons is equal to the number of electrons. That is the number of positive charges is equal to the number of negative charges.

Q: Pen is to poet as needle is to 5300 0

  • 1
    Sewing
    Correct
    Wrong
  • 2
    Thread
    Correct
    Wrong
  • 3
    Tailor
    Correct
    Wrong
  • 4
    Button
    Correct
    Wrong
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Answer : 3. "Tailor"
Explanation :

Answer: C) Tailor Explanation: Here Pen is a tool which is used to write and poet uses it. Then, the needle is a tool which is used to stitch and it is used by Tailor. Except tailor, none of the other options is a person to use it.   Hence, Pen : Poet :: Needle : Tailor

Q: A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed ? 5278 0

  • 1
    1hr
    Correct
    Wrong
  • 2
    1 hr 20 min
    Correct
    Wrong
  • 3
    1 hr 10 min
    Correct
    Wrong
  • 4
    50 min
    Correct
    Wrong
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Answer : 2. "1 hr 20 min"
Explanation :

Answer: B) 1 hr 20 min Explanation: Let the distance and original speed be 'd' km and 'k' kmph respectively. d/0.8k - d/k = 20/60 => 5d/4k - d/k = 1/3 => (5d - 4d)/4k = 1/3 => d = 4/3 k Time taken to cover the distance at original speed = d/k = 4/3 hours = 1 hour 20 minutes.

Q: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions  ? 5261 0

  • 1
    27 sec
    Correct
    Wrong
  • 2
    31 sec
    Correct
    Wrong
  • 3
    23 sec
    Correct
    Wrong
  • 4
    29 sec
    Correct
    Wrong
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Answer : 1. "27 sec"
Explanation :

Answer: A) 27 sec Explanation: Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

Q: The average weight of 45 passengers in a bus is 52 kg. 5 of them whose average weight is 48 kg leave the bus and other 5 passengers whose average weight is 54 kg join the bus at the same stop. What is the new average weight of the bus? 5252 0

  • 1
    54.21 kgs
    Correct
    Wrong
  • 2
    51.07 kgs
    Correct
    Wrong
  • 3
    52.66 kgs
    Correct
    Wrong
  • 4
    53.45 kgs
    Correct
    Wrong
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Answer : 3. "52.66 kgs"
Explanation :

Answer: C) 52.66 kgs Explanation: Given total number of passengers in the bus = 45 First average weight of 45 passengers = 52 kgs Average weight of 5 passengers who leave bus = 48 Average weight of 5 passengers who joined the bus = 54 Therefore, the net average weight of the bus is given by = 45 x 52 - 5 x 48 + 5 x 5445 = 237045= 1583= 52.66 kgs.

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