IIT JEE Practice Question and Answer

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 ? 5161 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 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 ? 5152 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: 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? 5133 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.

Q: Hari Ram’s present age is three times his son’s present age and two fifth of his father’s present age. The average of the present age of all of them is 46 years. What is the difference between Hari Ram’s son’s present age and Hari Ram’s father’s present age? 5131 0

  • 1
    44 yrs
    Correct
    Wrong
  • 2
    56 yrs
    Correct
    Wrong
  • 3
    67 yrs
    Correct
    Wrong
  • 4
    78 yrs
    Correct
    Wrong
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Answer : 4. "78 yrs"
Explanation :

Answer: D) 78 yrs Explanation: Let Hari Ram's present age = x Then, his son's age = x/3 Father's age = 5x/2 x + x3 + 52x3 = 46=> x = 36 yrs Now the required difference = 52x36 - 363 = 78 yrs

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  ? 5111 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: Bruise is to Fall as Bump is to 5101 0

  • 1
    Lump
    Correct
    Wrong
  • 2
    Knock
    Correct
    Wrong
  • 3
    Limp
    Correct
    Wrong
  • 4
    Wound
    Correct
    Wrong
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Answer : 2. "Knock"
Explanation :

Answer: B) Knock Explanation: After falling it bruises, similarly after knocking it bumps.   Hence, Bruise : Fall :: Bump : Knock.

Q: If today is Saturday, what will be the day 350 days from now  ? 5074 0

  • 1
    Saturday
    Correct
    Wrong
  • 2
    Friday
    Correct
    Wrong
  • 3
    Sunday
    Correct
    Wrong
  • 4
    Monday
    Correct
    Wrong
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Answer : 1. "Saturday"
Explanation :

Answer: A) Saturday Explanation: 350 days, 350/7 = 50, no odd days, so it will be a Saturday.

Q: Find the odd man out of the number series? 18, 37, 76, 155, 314, 635 5055 0

  • 1
    37
    Correct
    Wrong
  • 2
    155
    Correct
    Wrong
  • 3
    314
    Correct
    Wrong
  • 4
    635
    Correct
    Wrong
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Answer : 4. "635"
Explanation :

Answer: D) 635 Explanation: Given Number series is 18     37     76     155     314     635   follows a pattern that,    18   18 x 2 +1 = 37   37 x 2 +2 = 76   76 x 2 +3 = 155   155 x 2 +4 = 314   314 x 2 +5 = 633 not 635       Hence, the odd man is 635.

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