IIT JEE Practice Question and Answer

Q: The probability that a number selected at random from the first 100 natural numbers is a composite number is  ? 1639 0

  • 1
    3/2
    Correct
    Wrong
  • 2
    2/3
    Correct
    Wrong
  • 3
    1/2
    Correct
    Wrong
  • 4
    34/7
    Correct
    Wrong
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Answer : 1. "3/2"
Explanation :

Answer: A) 3/2 Explanation: The number of exhaustive events = 100 C₁ = 100. We have 25 primes from 1 to 100. Number of favourable cases are 75. Required probability = 75/50 = 3/2.

Q: If rupee two produces rupees eleven over a period of 30 years, find the rate of simple interest ? 1416 0

  • 1
    17.25 %
    Correct
    Wrong
  • 2
    18.14 %
    Correct
    Wrong
  • 3
    18.33 %
    Correct
    Wrong
  • 4
    17.35 %
    Correct
    Wrong
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Answer : 3. "18.33 %"
Explanation :

Answer: C) 18.33 % Explanation: We know that I = PTR/100 11 = (2x30xR)/100 R = 18.333 %

Q: As per "Swachh Survekshan 2017" records India's cleanest city is  ? 1463 0

  • 1
    Hyderabd
    Correct
    Wrong
  • 2
    Tirupathi
    Correct
    Wrong
  • 3
    Indore
    Correct
    Wrong
  • 4
    Bangalore
    Correct
    Wrong
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Answer : 3. "Indore"
Explanation :

Answer: C) Indore Explanation: i. The 'Swachh Survekshan 2017' survey results were recently announced by Urban Development Minister M Venkaiah Naidu. The total 434 cities of India were surveyed. Indore in Madhya Pradesh is India’s cleanest city while Gonda in Uttar Pradesh is the dirtiest. ii. Gujarat has the maximum of 12 cities among the top 50 clean cities, closely followed by Madhya Pradesh with 11 and Andhra Pradesh with eight. Uttar Pradesh accounted for half of the bottom 50 cities in the cleanliness ranking. Top 10 clean cities of India in 2017 are: Indore (MP)Bhopal (MP)Visakhapatnam (Andhra Pradesh)Surat (Gujarat)Mysuru (Karnataka)Tiruchirapally (Tamil Nadu)New Delhi Municipal Council (New Delhi)Navi Mumbai (Mumbai)Tirupati (Andhra Pradesh)Vadodara (Gujarat). Top 5 Dirtiest cities of India (with Rank) in 2017 are: Gonda (UP)- 434,Bhusawal (Maharashtra)- 433,Bagaha (Bihar)- 432,Hardoi (Uttarakhand)- 431,Katihar (Bihar)- 430.

Q: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ? 4123 0

  • 1
    42
    Correct
    Wrong
  • 2
    54
    Correct
    Wrong
  • 3
    46
    Correct
    Wrong
  • 4
    58
    Correct
    Wrong
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Answer : 1. "42"
Explanation :

Answer: A) 42 Explanation: Let x and y be the two parts of 96. x/7 = y/9 => x:y = 7:9 => The smallest part is = 7/16 x 96 = 42.

Q: Raju got married 8years ago. His present age is 6/5 times his age at the time of his marriage  Raju's sister was 10years younger to him at the time of his marriage. The present age of Raju's sister is  ? 4207 0

  • 1
    30
    Correct
    Wrong
  • 2
    32
    Correct
    Wrong
  • 3
    38
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "38"
Explanation :

Answer: C) 38 Explanation: Let Raju's age at the time of his marriage = X years Then from given data => X + 8 = 6/5 X X = 40. Since got married 8 years ago, his present age  = 48 His sister is 10 years younger => 48 - 10 = 38 years.

Q: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ? 1996 0

  • 1
    2 hrs
    Correct
    Wrong
  • 2
    20 min
    Correct
    Wrong
  • 3
    40 min
    Correct
    Wrong
  • 4
    30 min
    Correct
    Wrong
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Answer : 2. "20 min"
Explanation :

Answer: B) 20 min Explanation: In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages. Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr. stoppage time = 20/60 hrs = 20 min.

Q: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current  ? 3833 0

  • 1
    1 kmph
    Correct
    Wrong
  • 2
    3.2 kmph
    Correct
    Wrong
  • 3
    1.5 kmph
    Correct
    Wrong
  • 4
    2 kmph
    Correct
    Wrong
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Answer : 3. "1.5 kmph"
Explanation :

Answer: C) 1.5 kmph Explanation: 72 --- 9 ? ---- 1 => Down Stream = 8 45 ---- 9 ? ---- 1 => Up Stream = 5 Speed od current S = ? S = (8 - 5)/2 = 1.5 kmph.

Q: If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time  ? 1513 0

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

Answer: D) 2:1 Explanation: 5M + 2B = 4(1M + 1B) 5M + 2B = 4M + 4B 1M = 2B The required ratio of work done by a man and a boy = 2:1

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