IIT JEE Practice Question and Answer

Q: In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ? 4660 0

  • 1
    Rs. 4680
    Correct
    Wrong
  • 2
    Rs. 4420
    Correct
    Wrong
  • 3
    Rs. 4960
    Correct
    Wrong
  • 4
    Rs. 5480
    Correct
    Wrong
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Answer : 1. "Rs. 4680"
Explanation :

Answer: A) Rs. 4680 Explanation: Let the expenditure on the 95 students be 'x' Then, 95x + 500 = 120(x – 5)95x + 500 = 120x - 600120x - 95x = 110025x = 1100=> x = 44 Therefore, total expenditure of the hostel becomes95 x 44 + 500 = 4680.

Q: Which best describes how air moves during convection? 4654 0

  • 1
    cool air falls down
    Correct
    Wrong
  • 2
    warm air falls down
    Correct
    Wrong
  • 3
    cool air is replaced by warm air
    Correct
    Wrong
  • 4
    air always falls down
    Correct
    Wrong
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Answer : 1. "cool air falls down"
Explanation :

Answer: A) cool air falls down Explanation: During convection, cool and dense air falls through the warmer and less dense air. The warm air having less mass is being displaced by the cooler which is much heavy. Convection always involves the air rising through the atmosphere.

Q: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions  ? 4649 0

  • 1
    10 sec
    Correct
    Wrong
  • 2
    11 sec
    Correct
    Wrong
  • 3
    12 sec
    Correct
    Wrong
  • 4
    8 sec
    Correct
    Wrong
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Answer : 1. "10 sec"
Explanation :

Answer: A) 10 sec Explanation: Relative Speed = 60 -40 = 20 x 5/18 = 100/18 Time = 50 Distance = 50 x 100/18 = 2500/9 Relative Speed = 60 + 40 = 100 x 5/18 Time = 2500/9 x 18/500 = 10 sec.

Q: Thread is to String as Cask is to 4647 0

  • 1
    Barrel
    Correct
    Wrong
  • 2
    Disc
    Correct
    Wrong
  • 3
    Wallet
    Correct
    Wrong
  • 4
    Box
    Correct
    Wrong
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Answer : 1. "Barrel"
Explanation :

Answer: A) Barrel Explanation: Here Thread and String are Synonyms of each other. Then the answer will be the synonym of Cask.  Cask is nothing but a large barrel-like container used for storing liquids, typically alcoholic drinks.  Ex : Drum, Vessel, Tank, Barrel, Hogshead, Firkin,...   Here from the options Barrel is the only synonym of Cask.   Thus,  Thread : String :: Cask : Barrel

Q: Artist is to painting as senator is to 4607 0

  • 1
    politician
    Correct
    Wrong
  • 2
    constituents
    Correct
    Wrong
  • 3
    attorney
    Correct
    Wrong
  • 4
    law
    Correct
    Wrong
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Answer : 4. "law"
Explanation :

Answer: D) law Explanation: As we know that an artist makes paintings, similarly, a senator makes laws.   Hence, Artist : Painting :: Senator : Law.

Q: Find the missing number in the given number series? 2676, 445, ?, 21,6, 2, 1 4607 0

  • 1
    88
    Correct
    Wrong
  • 2
    92
    Correct
    Wrong
  • 3
    96
    Correct
    Wrong
  • 4
    102
    Correct
    Wrong
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Answer : 1. "88"
Explanation :

Answer: A) 88 Explanation: The given number series 2676, 445, ?, 21,6, 2, 1 follows a pattern that, From right side, 1 1 x 1 + 1 = 2 2 x 2 + 2 = 6 6 x 3 + 3 = 21 21 x 4 + 4 = 88 88 x 5 + 5 = 445 445 x 6 + 6 = 2676   Hence the missing number in the given number series is 88.

Q: There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was : 4604 0

  • 1
    20
    Correct
    Wrong
  • 2
    35
    Correct
    Wrong
  • 3
    54
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "20"
Explanation :

Answer: A) 20 Explanation: Numbers of students in section A = x ∴ Numbers of students in section B and C = (100 – x) ∴ x 70 + (100 – x) 87.5 = 84 100 => 70x + 87.5 100 – 87.5x = 8400 => 8750 – 17.5x = 8400 => 17.5x = 8750 – 8400 => x = 20.

Q: Which supercomputer is developed by the Indian Scientists? 4587 0

  • 1
    Super 3
    Correct
    Wrong
  • 2
    Param 808
    Correct
    Wrong
  • 3
    Super 149
    Correct
    Wrong
  • 4
    Param 8000
    Correct
    Wrong
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Answer : 4. "Param 8000"
Explanation :

Answer: D) Param 8000 Explanation: PARAM 8000 was was the first supercomputer developed by Indian scientists launched on July 01, 1991 is considered India's first supercomputer.   It was indigenously built in 1991 by Centre for Development of Advanced Computing and was replicated and installed at ICAD Moscow in 1991 under Russian collaboration.

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