GATE Practice Question and Answer
8Q: 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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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 05b5cc6d0e4d2b4197774e338
5b5cc6d0e4d2b4197774e338- 124true
- 223false
- 322false
- 425false
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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: 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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Answer : 2. "140"
Explanation :
Answer: B) 140 Explanation: x - 35 = 80x/100 => x = 175 => 4x/5 = 4x175/5 = 140.
Q: Statement: It is estimated that about twenty lakh people will visit the city during the ensuing festival.Courses of action:a. The civic authority should monitor the crowd and restrict entry of the people beyond a manageable number.b. The local police authority should be put on high alert to maintain law and order during the festival.c. All the hospitals in the city should be put on high alert in case of any eventuality. 1562 05b5cc767e4d2b4197774fe06
5b5cc767e4d2b4197774fe06- 1Only a followsfalse
- 2Both b & c followstrue
- 3Only c followsfalse
- 4Both a and b sufficientfalse
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Answer : 2. "Both b & c follows"
Explanation :
Answer: B) Both b & c follows Explanation: Clearly, People cannot be deprived of enjoying the festival for lack of arrangements. Also, it becomes necessary to deploy police to regulate big crowds and avert any mishap in public gatherings. Further, it costs nothing but might prove useful to put hospitals on alert to be ready to provide quick medical aid to patients in case of any eventuality. So, both b and c follow.
Q: 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? 1562 05b5cc64ae4d2b4197774bc47
5b5cc64ae4d2b4197774bc47- 115false
- 218false
- 320true
- 424false
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Answer : 3. "20"
Explanation :
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.
Q: Kudos means 1562 05b5cc6b1e4d2b4197774d337
5b5cc6b1e4d2b4197774d337- 1blamefalse
- 2shamefalse
- 3fametrue
- 4angryfalse
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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: 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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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 05b5cc764e4d2b4197774fd7b
5b5cc764e4d2b4197774fd7b- 12/3false
- 21/2true
- 37/8false
- 44/5false
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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.