IIT JEE Practice Question and Answer

Q: Amith can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream for Amith ? 3007 0

  • 1
    4 hrs 10 min
    Correct
    Wrong
  • 2
    3 hrs 15 min
    Correct
    Wrong
  • 3
    3 hrs 30 min
    Correct
    Wrong
  • 4
    4 hrs 1 min
    Correct
    Wrong
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Answer : 3. "3 hrs 30 min"
Explanation :

Answer: C) 3 hrs 30 min Explanation: Let the speed of boat and stream be x and y kmph respectively. According to question d/x+y + d/x-y = 5h 15m or 21/4 hrs ......(i) and 2d/x-y = 7...... (ii) From eq. (i) and (ii) 2d/x+y = 7/2 Hence, Amith will take to row 2d km distance downstream in 7/2 hrs = 3.5 hrs = 3 hrs 30 min.

Q: In a certain code DOWN is written as '5@9#' and NAME is written as '#6%3'. How is MODE written in that code ? 3003 0

  • 1
    6@53
    Correct
    Wrong
  • 2
    %@53
    Correct
    Wrong
  • 3
    53%#
    Correct
    Wrong
  • 4
    %#35
    Correct
    Wrong
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Answer : 2. "%@53"
Explanation :

Answer: B) %@53 Explanation: From the given information : D O W N A M E == 5 @ 9 # 6 % 3 MODE = %@53

Q: 96% of the population of a village is 23040. The total population of the village is ? 3003 0

  • 1
    24000
    Correct
    Wrong
  • 2
    32256
    Correct
    Wrong
  • 3
    25478
    Correct
    Wrong
  • 4
    26587
    Correct
    Wrong
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Answer : 1. "24000"
Explanation :

Answer: A) 24000 Explanation: Let the total population be 'P' P x (96/100) = 23040 P = 240 * 100 P = 24000.

Q: Optimist is to cheerful as Pessimist is to 2993 0

  • 1
    Helpful
    Correct
    Wrong
  • 2
    Mean
    Correct
    Wrong
  • 3
    Petty
    Correct
    Wrong
  • 4
    Gloomy
    Correct
    Wrong
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Answer : 4. "Gloomy"
Explanation :

Answer: D) Gloomy Explanation: The given words are related in a way that, an optimist is a person whose outlook is cheerful. Similarly, a pessimist is a person whose outlook is gloomy.   The answer is not (b) because a pessimist does not have to be mean. Options (c) and (a) are incorrect because neither words describe the outlook of a pessimist.   Hence, Optimist is to cheerful as Pessimist is to Gloomy.

Q: A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken ? 2989 0

  • 1
    4/3 hrs
    Correct
    Wrong
  • 2
    2/3 hrs
    Correct
    Wrong
  • 3
    3/2 hrs
    Correct
    Wrong
  • 4
    1/4 hrs
    Correct
    Wrong
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Answer : 2. "2/3 hrs"
Explanation :

Answer: B) 2/3 hrs Explanation: Let the original speed and time is S and Tthen distance = S x TNow the speed changes to 2/3S and T is T+20As the distance is sameS x T = 2/3Sx(T+20)solving this we get t = 40 minutes =40/60 = 2/3 hour

Q: Which of the following metals forms an amalgam with other metals  ? 2988 1

  • 1
    Mercury
    Correct
    Wrong
  • 2
    Zinc
    Correct
    Wrong
  • 3
    Tin
    Correct
    Wrong
  • 4
    Lead
    Correct
    Wrong
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Answer : 1. "Mercury"
Explanation :

Answer: A) Mercury Explanation:

Q: The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city? 2984 0

  • 1
    4,12,480
    Correct
    Wrong
  • 2
    3,67,500
    Correct
    Wrong
  • 3
    5,44,700
    Correct
    Wrong
  • 4
    2,98,948
    Correct
    Wrong
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Answer : 2. "3,67,500"
Explanation :

Answer: B) 3,67,500 Explanation: Let the total population be 'p' Given ratio of male and female in a city is 7 : 8 In that percentage of children among male and female is 25% and 20% => Adults male and female % = 75% & 80% But given adult females is = 156800 => 80%(8p/15) = 156800 => 80 x 8p/15 x 100 = 156800 => p = 156800 x 15 x 100/80 x 8 => p = 367500 Therefore, the total population of the city = p = 367500

Q: Paw : Cat :: Hoof : ? 2982 0

  • 1
    Donkey
    Correct
    Wrong
  • 2
    Lion
    Correct
    Wrong
  • 3
    Elephant
    Correct
    Wrong
  • 4
    Horse
    Correct
    Wrong
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Answer : 4. "Horse"
Explanation :

Answer: D) Horse Explanation: The cat's foot is called a paw. The horse's foot is called a hoof.

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