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  ? 1854 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: What Room can Nobody Enter? 1853 0

  • 1
    War room
    Correct
    Wrong
  • 2
    Spare room
    Correct
    Wrong
  • 3
    Escape room
    Correct
    Wrong
  • 4
    Mushroom
    Correct
    Wrong
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Answer : 4. "Mushroom"
Explanation :

Answer: D) Mushroom Explanation: The Room can Nobody Enter is a Mushroom.

Q: which of the following statements are correct 1853 0

  • 1
    Sir Richard Arkwright - Father of industrial revolution
    Correct
    Wrong
  • 2
    Michael Faraday - Discovered Benzene and invented Bunsen Burner
    Correct
    Wrong
  • 3
    Thomas Alva Edison - phonograph and motion picture camera
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation: Inventors and their Inventions ::   Sir Richard Arkwright - Father of industrial revolution.   Michael Faraday - Discovered Benzene and invented Bunsen Burner.   Thomas Alva Edison - Invented Phonograph and motion picture camera.

Q: Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ? 1852 0

  • 1
    B) = 0.6. Are these two events are disjoint ? A)
    Correct
    Wrong
  • 2
    = 0.6. Are these two events are disjoint ? A) TRUE B) FALSE Answer & Explanation Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P(
    Correct
    Wrong
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Answer : 2. "= 0.6. Are these two events are disjoint ? A) TRUE B) FALSE Answer & Explanation Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P("
Explanation :

Answer: B) FALSE Explanation: These two events cannot be disjoint because P(K) + P(L) > 1. P(AꓴB) = P(A) + P(B) - P(AꓵB). An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4 And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.

Q: A trader marked the price of the T.V. 30% above the cost price of the T.V. and gave the purchaser 10% discount on the marked price, thereby gaining Rs.340. Find the cost price of the T.V ? 1852 0

  • 1
    Rs. 2000
    Correct
    Wrong
  • 2
    Rs. 1600
    Correct
    Wrong
  • 3
    Rs. 2200
    Correct
    Wrong
  • 4
    Rs. 2100
    Correct
    Wrong
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Answer : 1. "Rs. 2000"
Explanation :

Answer: A) Rs. 2000 Explanation: Let 'x' be the cost price.Now Marked price = x + 30x/100 = 13x/1010% discount = 10/100 x 13x/10 = 13x/100 Selling price = 13x/10 - 13x/100 = 117x/100Given gain = 340Here gain = 117x/100 - x = 17x/100 = 340 => x = Rs. 2000.

Q: Who has become First Female Pilot in Indian Navy? 1852 0

  • 1
    Ritu Kumari
    Correct
    Wrong
  • 2
    Shubhangi Swaroop
    Correct
    Wrong
  • 3
    Garima Sharma
    Correct
    Wrong
  • 4
    Rakhi Kumari
    Correct
    Wrong
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Answer : 2. "Shubhangi Swaroop"
Explanation :

Answer: B) Shubhangi Swaroop Explanation: Shubhangi Swaroop, the First Woman Pilot inducted into Indian Navy.

Q: A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ? 1852 0

  • 1
    52%
    Correct
    Wrong
  • 2
    64%
    Correct
    Wrong
  • 3
    84%
    Correct
    Wrong
  • 4
    77%
    Correct
    Wrong
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Answer : 3. "84%"
Explanation :

Answer: C) 84% Explanation: Let the number be 'x'   Then, according to the given data,  52x-25x52xx100   = 2125x100   = 84%

Q: Which state government has launched “Mahaswayam portal” for job seekers and employers  ? 1852 0

  • 1
    Andhra Pradesh
    Correct
    Wrong
  • 2
    Assam
    Correct
    Wrong
  • 3
    Telangana
    Correct
    Wrong
  • 4
    Maharashtra
    Correct
    Wrong
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Answer : 4. "Maharashtra"
Explanation :

Answer: D) Maharashtra Explanation: The Chief Minister of Maharashtra Devendra Fadnavis has recently launched a web portal ‘Mahaswayam’ for job seekers, employers, entrepreneurs and training institutes. At ‘Mahaswayam’, job seekers will be able to register themselves, search as well as apply for jobs, inquire for training, get information on self-employment and get details of job fairs. Besides, training institutes can also register, get details on participation in the state skill development programme, get training fee receipts, and can also receive training fee through ECS. Apart from this, entrepreneurs can also post job vacancy advertisements at the portal.

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