IIT JEE Practice Question and Answer
8Q: 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 05b5cc6eee4d2b4197774eebe
5b5cc6eee4d2b4197774eebe- 11hrfalse
- 21 hr 20 mintrue
- 31 hr 10 minfalse
- 450 minfalse
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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 05b5cc6d8e4d2b4197774e769
5b5cc6d8e4d2b4197774e769- 1170 mfalse
- 2100 mfalse
- 3270 mfalse
- 4320 mtrue
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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 05b5cc6abe4d2b4197774d06c
5b5cc6abe4d2b4197774d06c- 154.21 kgsfalse
- 251.07 kgsfalse
- 352.66 kgstrue
- 453.45 kgsfalse
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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 05b5cc6b7e4d2b4197774d5d8
5b5cc6b7e4d2b4197774d5d8- 144 yrsfalse
- 256 yrsfalse
- 367 yrsfalse
- 478 yrstrue
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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 05b5cc6e5e4d2b4197774ecf2
5b5cc6e5e4d2b4197774ecf2- 127 sectrue
- 231 secfalse
- 323 secfalse
- 429 secfalse
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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 05b5cc69de4d2b4197774c8ff
5b5cc69de4d2b4197774c8ff- 1Lumpfalse
- 2Knocktrue
- 3Limpfalse
- 4Woundfalse
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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 05b5cc6dbe4d2b4197774e8eb
5b5cc6dbe4d2b4197774e8eb- 1Saturdaytrue
- 2Fridayfalse
- 3Sundayfalse
- 4Mondayfalse
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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 05b5cc6a5e4d2b4197774cce0
5b5cc6a5e4d2b4197774cce0- 137false
- 2155false
- 3314false
- 4635true
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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.