IIT JEE Practice Question and Answer

Q: A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ? 1267 0

  • 1
    32 hrs
    Correct
    Wrong
  • 2
    24 hrs
    Correct
    Wrong
  • 3
    28 hrs
    Correct
    Wrong
  • 4
    26 hrs
    Correct
    Wrong
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Answer : 3. "28 hrs"
Explanation :

Answer: C) 28 hrs Explanation: 1/K + 1/L + 1/M = 1/8 (Given)Also given that K = 2L and L = 2M=> 1/2L + 1/L + 2/L = 1/8=> (1 + 2 + 4)/2L = 1/8=> 2L/7 = 8=> L = 28 hours.

Q: The price of an article has been reduced by 35%. In order to restore the original price the new price must be increased by ? 1546 0

  • 1
    51.8 %
    Correct
    Wrong
  • 2
    49.25 %
    Correct
    Wrong
  • 3
    47.2 %
    Correct
    Wrong
  • 4
    53.84 %
    Correct
    Wrong
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Answer : 4. "53.84 %"
Explanation :

Answer: D) 53.84 % Explanation: 100 65 -------65 ------- 35100 ------ ? => 53.84 %

Q: When is International Day of Families observed  ? 1549 0

  • 1
    May 13
    Correct
    Wrong
  • 2
    May 15
    Correct
    Wrong
  • 3
    May 16
    Correct
    Wrong
  • 4
    May 14
    Correct
    Wrong
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Answer : 2. "May 15"
Explanation :

Answer: B) May 15 Explanation: 15 May. Theme of International Day of Family 2017 is “Families, education and well-being”.

Q: What is the probability that a leap year has 53 Saturdays and 52 Sundays ? 2047 0

  • 1
    1/7
    Correct
    Wrong
  • 2
    2/7
    Correct
    Wrong
  • 3
    1/2
    Correct
    Wrong
  • 4
    3/2
    Correct
    Wrong
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Answer : 1. "1/7"
Explanation :

Answer: A) 1/7 Explanation: A leap year has 52 weeks and two daysTotal number of cases = 7Number of favourable cases = 1i.e., {Friday, Saturday} Required Probability = 1/7

Q: Name the malicious software that affected various computers recently in may 2017, and restricted users to access it until a ransom is paid to unlock it  ? 1024 0

  • 1
    Bitcoinware
    Correct
    Wrong
  • 2
    Captiveware
    Correct
    Wrong
  • 3
    Pay-offware
    Correct
    Wrong
  • 4
    Ransomware
    Correct
    Wrong
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Answer : 4. "Ransomware"
Explanation :

Answer: D) Ransomware Explanation:

Q: A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ? 1526 0

  • 1
    10 days
    Correct
    Wrong
  • 2
    14 days
    Correct
    Wrong
  • 3
    11 days
    Correct
    Wrong
  • 4
    9 days
    Correct
    Wrong
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Answer : 1. "10 days"
Explanation :

Answer: A) 10 days Explanation: For 30 days he receives 30 x 25 = 750                Actually he gets 425 Therefore, Fine is 750 - 425 =  325   => No of days absent = 325/(25+7.50)= 10

Q: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ? 2050 0

  • 1
    45/7 %
    Correct
    Wrong
  • 2
    50/9 %
    Correct
    Wrong
  • 3
    51/7 %
    Correct
    Wrong
  • 4
    47/ 9 %
    Correct
    Wrong
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Answer : 2. "50/9 %"
Explanation :

Answer: B) 50/9 % Explanation: Let sum = S. Then, amount = 7S/6 S.I. = 7S/6 - S = S/6; Time = 3 years. Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.

Q: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is  ? 1462 0

  • 1
    476190476
    Correct
    Wrong
  • 2
    48617
    Correct
    Wrong
  • 3
    47619
    Correct
    Wrong
  • 4
    4587962
    Correct
    Wrong
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Answer : 3. "47619"
Explanation :

Answer: C) 47619 Explanation: By hit and trail, we find that 47619 x 7 = 333333. 7) 333333 (47619    333333----------------        0 And 476190476 x 7 = 3333333333 but smallest number is 47619.

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