IIT JEE Practice Question and Answer

Q: A Woman’s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream? 3332 0

  • 1
    72 km
    Correct
    Wrong
  • 2
    36 km
    Correct
    Wrong
  • 3
    56 km
    Correct
    Wrong
  • 4
    42 km
    Correct
    Wrong
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Answer : 1. "72 km"
Explanation :

Answer: A) 72 km Explanation: Rate of her upstream = 12/2.5 = 4.8 km/hr Then, ATQ Rate of downstream = 4.8 x 3 = 14.4 km/hr   Hence, the distance she covers downstream in 5 hrs = 14.4 x 5 = 72 kms.

Q: K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ? 3319 1

  • 1
    120 days
    Correct
    Wrong
  • 2
    119 days
    Correct
    Wrong
  • 3
    118 days
    Correct
    Wrong
  • 4
    117 days
    Correct
    Wrong
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Answer : 4. "117 days"
Explanation :

Answer: D) 117 days Explanation: K's work in a day(1st day) = 1/30L's work in a day(2nd day)= -1/60(demolishing)hence in 2 days, combined work= 1/30 - 1/60 =1/60since both works alternatively, K will work in odd days and L will work in even days.1/60 unit work is done in 2 days58/60 unit work will be done in 2 x 58 days = 116 daysRemaining work = 1-58/60 = 1/30Next day, it will be K's turn and K will finish the remaining 1/30 work.hence total days = 116 + 1 = 117.

Q: Which is the most accurate statement about trade? 3317 0

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    Trade makes some nations better off and others worse off
    Correct
    Wrong
  • 2
    Trading for a good can make a nation better off only if the nation cannot produce that good itself
    Correct
    Wrong
  • 3
    Trade helps rich nations and hurts poor nations
    Correct
    Wrong
  • 4
    Trade can make every nation better off
    Correct
    Wrong
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Answer : 4. "Trade can make every nation better off"
Explanation :

Answer: D) Trade can make every nation better off Explanation:

Q: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ? 3316 0

  • 1
    A = 48000 B = 40000 C = 30000
    Correct
    Wrong
  • 2
    A = 30000 B = 40000 C = 48000
    Correct
    Wrong
  • 3
    A = 30000 B = 48000 C = 40000
    Correct
    Wrong
  • 4
    A = 40000 B = 48000 C = 30000
    Correct
    Wrong
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Answer : 2. "A = 30000 B = 40000 C = 48000"
Explanation :

Answer: B) A = 30000 B = 40000 C = 48000 Explanation: Compound ratio of A:B:CA:B = 3:4B:C = 5:6----------A:B:C = 15:20:24 We can divide Rs.118000 in this ratio. Share of A = 15/59 x 118000 = 30000 Share of B = 20/59 x 118000 = 40000 Share of C = 24/59 x 118000 = 48000

Q: Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ? 3314 0

  • 1
    3 minutes
    Correct
    Wrong
  • 2
    2 minutes
    Correct
    Wrong
  • 3
    4 minutes
    Correct
    Wrong
  • 4
    5 minutes
    Correct
    Wrong
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Answer : 4. "5 minutes"
Explanation :

Answer: D) 5 minutes Explanation: Let the total capacity of tank be 90 liters.Capacity of tank filled in 1 minute by K = 3 liters.Capacity of tank filled in 1 minute by L = 15 liters.Therefore, capacity of the tank filled by both K and L in 1 minute = 18 liters.Hence, time taken by both the pipes to overflow the tank = 90/18 = 5 minutes.

Q: When a women sells 20 articles for Rs. 160, there is 40% loss. How many articles should she sell for Rs. 240 in order to earn 20% profit ? 3310 0

  • 1
    16
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    17
    Correct
    Wrong
  • 4
    14
    Correct
    Wrong
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Answer : 2. "15"
Explanation :

Answer: B) 15 Explanation: Given when she sells at Rs. 160 for 20 articles, she get 40% loss.   Then, to get 20% profit selling at Rs. 240 for let 'P' articles   => 1602060=240p120   => 120 x 160 x P = 20 x 70 x 240   => P =  15 articles.

Q: In a certain code ARCHIVE is written as DSBGFWJ. How is SYSTEMS is written in that code ? 3309 0

  • 1
    TZTSTUN
    Correct
    Wrong
  • 2
    TZTSTNF
    Correct
    Wrong
  • 3
    TZTUTNF
    Correct
    Wrong
  • 4
    TZTNTFS
    Correct
    Wrong
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Answer : 2. "TZTSTNF"
Explanation :

Answer: B) TZTSTNF Explanation: ARC -> CRA ->(+1) DSB    H ->     H ->(-1) GIVE  ->  EVI ->(+1) FWJ  Similarly,  SYS -> SYS ->(+1) TZT    T ->     T ->(-1) SEMS -> SME ->(+1) TNF

Q: Which of the following is not purely output device? 3309 1

  • 1
    Printer
    Correct
    Wrong
  • 2
    Speaker
    Correct
    Wrong
  • 3
    Plotter
    Correct
    Wrong
  • 4
    Screen
    Correct
    Wrong
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Answer : 4. "Screen"
Explanation :

Answer: D) Screen Explanation: A touch screen is the only device which works as both an input and an output device among the given options. You view the options available to you on the screen (output) and you then use your finger to touch the option that you have chosen (input).   Hence, Screen is not purely output device.

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