IIT JEE प्रश्न और उत्तर का अभ्यास करें
8प्र: 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 05b5cc64ae4d2b4197774bc47
5b5cc64ae4d2b4197774bc47- 115false
- 218false
- 320true
- 424false
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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 05b5cc69de4d2b4197774c919
5b5cc69de4d2b4197774c919- 11440false
- 2720false
- 32250false
- 43600true
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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 05b5cc6d0e4d2b4197774e338
5b5cc6d0e4d2b4197774e338- 124true
- 223false
- 322false
- 425false
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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 05b5cc6ace4d2b4197774d0cd
5b5cc6ace4d2b4197774d0cd- 1Hydrogen, Oxygen, and Salinefalse
- 2Water, Soil, and Airfalse
- 3Respiration, Carbonic Acids, and Seawaterfalse
- 4Sulfur Dioxide, Carbon Dioxide, Nitrogen Oxidestrue
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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 05b5cc6ade4d2b4197774d0ee
5b5cc6ade4d2b4197774d0ee- 120000false
- 22000true
- 3200false
- 420false
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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 05b5cc6dee4d2b4197774ea4b
5b5cc6dee4d2b4197774ea4b- 1175false
- 2140true
- 3135false
- 495false
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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 05b5cc6c9e4d2b4197774dfab
5b5cc6c9e4d2b4197774dfab- 180true
- 287false
- 378false
- 476false
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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 05b5cc764e4d2b4197774fd7b
5b5cc764e4d2b4197774fd7b- 12/3false
- 21/2true
- 37/8false
- 44/5false
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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.

