IIT JEE Practice Question and Answer

Q: In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together? 1562 0

  • 1
    1440
    Correct
    Wrong
  • 2
    720
    Correct
    Wrong
  • 3
    2250
    Correct
    Wrong
  • 4
    3600
    Correct
    Wrong
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Answer : 4. "3600"
Explanation :

Answer: D) 3600 Explanation: Given word is THERAPY. Number of letters in the given word = 7 These 7 letters can be arranged in 7! ways. Number of vowels in the given word = 2 (E, A) The number of ways of arrangement in which vowels come together is 6! x 2! ways   Hence, the required number of ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together = 7! - (6! x 2!) ways = 5040 - 1440 = 3600 ways.

Q: Second & fourth Saturdays and every Sunday is a holiday. How many working days will be there in a month of 31 days beginning on a Friday ? 1562 0

  • 1
    24
    Correct
    Wrong
  • 2
    23
    Correct
    Wrong
  • 3
    22
    Correct
    Wrong
  • 4
    25
    Correct
    Wrong
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Answer : 1. "24"
Explanation :

Answer: A) 24 Explanation: Given that the month begins on a Friday and has 31 days   Sundays = 3rd, 10th, 17th, 24th, 31st=> Total Sundays = 5   Every second & fourth Saturday is holiday. 2nd & 4th Saturday in every month = 2   Total days in the month = 31   Total working days = 31 - (5 + 2) = 24 days.

Q: Acid Precipitation is caused by a mix of 1562 0

  • 1
    Hydrogen, Oxygen, and Saline
    Correct
    Wrong
  • 2
    Water, Soil, and Air
    Correct
    Wrong
  • 3
    Respiration, Carbonic Acids, and Seawater
    Correct
    Wrong
  • 4
    Sulfur Dioxide, Carbon Dioxide, Nitrogen Oxides
    Correct
    Wrong
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Answer : 4. "Sulfur Dioxide, Carbon Dioxide, Nitrogen Oxides"
Explanation :

Answer: D) Sulfur Dioxide, Carbon Dioxide, Nitrogen Oxides Explanation: Acid Precipitation or Acid rain is caused by a mix of Sulfur Dioxide, Carbon Dioxide, Nitrogen Oxides.   A Chemical reaction that begins when compounds like sulfur dioxide and nitrogen oxides are released into the air. These substances can rise very high into the atmosphere, where they mix and react with water, oxygen, and other chemicals to form more acidic pollutants, known as Acid Rains.

Q: 5% of 40,000 is 1562 0

  • 1
    20000
    Correct
    Wrong
  • 2
    2000
    Correct
    Wrong
  • 3
    200
    Correct
    Wrong
  • 4
    20
    Correct
    Wrong
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Answer : 2. "2000"
Explanation :

Answer: B) 2000 Explanation: 5% of 40,000  = 5100 × 40,000 = 5 × 400 = 2,000     Hence, 5% of 40,000 = 2,000.

Q: Kudos means 1562 0

  • 1
    blame
    Correct
    Wrong
  • 2
    shame
    Correct
    Wrong
  • 3
    fame
    Correct
    Wrong
  • 4
    angry
    Correct
    Wrong
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Answer : 3. "fame"
Explanation :

Answer: C) fame Explanation: Kudos means Praise or Congrats or Compliments. Fame is Synonym of Kudos. Blame, Shame and Angry are Antonyms of Kudos.

Q: A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number  ? 1562 0

  • 1
    175
    Correct
    Wrong
  • 2
    140
    Correct
    Wrong
  • 3
    135
    Correct
    Wrong
  • 4
    95
    Correct
    Wrong
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Answer : 2. "140"
Explanation :

Answer: B) 140 Explanation: x - 35 = 80x/100  => x = 175  => 4x/5 = 4x175/5 = 140.

Q: At an examination in which maximum marks are 500. K got 10% less than L, L got 25% more than M and M got 20% less than N. If K got 360 marks what percentage of marks was obtained by N ? 1561 0

  • 1
    80
    Correct
    Wrong
  • 2
    87
    Correct
    Wrong
  • 3
    78
    Correct
    Wrong
  • 4
    76
    Correct
    Wrong
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Answer : 1. "80"
Explanation :

Answer: A) 80 Explanation: Let marks obtained by N = x M's marks = 0.80x L's marks = 1.25 (0.80x) K's marks = (0.90) (1.25) (0.80x) = 0.9x But 0.9x = 360 ⇒ x = 400 Percentage of Marks obtained by N = 400 x 100/500 = 80%

Q: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ? 1561 0

  • 1
    2/3
    Correct
    Wrong
  • 2
    1/2
    Correct
    Wrong
  • 3
    7/8
    Correct
    Wrong
  • 4
    4/5
    Correct
    Wrong
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Answer : 2. "1/2"
Explanation :

Answer: B) 1/2 Explanation: Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18 Multiples of 5 below 20 are 5, 10, 15, 20 Required number of possibilities = 10Total number of possibilities = 20Required probability = 10/20 = 1/2.

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