IIT JEE प्रश्न और उत्तर का अभ्यास करें

प्र: In a box, there are 9 blue, 6 white and some black stones. A stone is randomly selected and the probability that the stone is black is ¼. Find the total number of stones in the box? 1563 0

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    15
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  • 2
    18
    सही
    गलत
  • 3
    20
    सही
    गलत
  • 4
    24
    सही
    गलत
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उत्तर : 3. "20"
व्याख्या :

Answer: C) 20 Explanation: We know that, Total probability = 1 Given probability of black stones = 1/4 => Probability of blue and white stones = 1 - 1/4 = 3/4 But, given blue + white stones =  9 + 6 = 15 Hence, 3/4 ----- 15  1   -----  ? => 15 x 4/3 = 20.   Hence, total number of stones in the box = 20.

प्र: 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
    सही
    गलत
  • 2
    720
    सही
    गलत
  • 3
    2250
    सही
    गलत
  • 4
    3600
    सही
    गलत
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उत्तर : 4. "3600"
व्याख्या :

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.

प्र: 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
    सही
    गलत
  • 2
    23
    सही
    गलत
  • 3
    22
    सही
    गलत
  • 4
    25
    सही
    गलत
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उत्तर : 1. "24"
व्याख्या :

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.

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

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    Hydrogen, Oxygen, and Saline
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  • 2
    Water, Soil, and Air
    सही
    गलत
  • 3
    Respiration, Carbonic Acids, and Seawater
    सही
    गलत
  • 4
    Sulfur Dioxide, Carbon Dioxide, Nitrogen Oxides
    सही
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उत्तर : 4. "Sulfur Dioxide, Carbon Dioxide, Nitrogen Oxides"
व्याख्या :

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.

प्र: 5% of 40,000 is 1562 0

  • 1
    20000
    सही
    गलत
  • 2
    2000
    सही
    गलत
  • 3
    200
    सही
    गलत
  • 4
    20
    सही
    गलत
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उत्तर : 2. "2000"
व्याख्या :

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

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

  • 1
    175
    सही
    गलत
  • 2
    140
    सही
    गलत
  • 3
    135
    सही
    गलत
  • 4
    95
    सही
    गलत
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उत्तर : 2. "140"
व्याख्या :

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

प्र: 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
    सही
    गलत
  • 2
    87
    सही
    गलत
  • 3
    78
    सही
    गलत
  • 4
    76
    सही
    गलत
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उत्तर : 1. "80"
व्याख्या :

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%

प्र: 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
    सही
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  • 2
    1/2
    सही
    गलत
  • 3
    7/8
    सही
    गलत
  • 4
    4/5
    सही
    गलत
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उत्तर : 2. "1/2"
व्याख्या :

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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