GATE Practice Question and Answer

Q: What is the difference in the shares of profit between P and Q in a joint business at the end of one year ? a. P Invested Rs. 80,000 and withdrew Rs. 20,000 after 6 months. b. Q joined four months after the start of business. c. Q's amount was 80% of P's amount during the last six months. 2309 0

  • 1
    Only a
    Correct
    Wrong
  • 2
    Only c
    Correct
    Wrong
  • 3
    Both a & b
    Correct
    Wrong
  • 4
    Data is not sufficient
    Correct
    Wrong
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Answer : 4. "Data is not sufficient"
Explanation :

Answer: D) Data is not sufficient Explanation: a. P's investment = (80000 x 6 + 60000 x 6) = 840000 for 1 month. b & c. Q's investment = 80% of Rs. 60000 for 8 months. = Rs.(48000 x 8) for 1 month = 384000 for 1 month P : Q = 840000 : 384000 = 35 : 16. But, the total profit is not given, so data is inadequate.

Q: The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements? 2308 0

  • 1
    4320
    Correct
    Wrong
  • 2
    4694
    Correct
    Wrong
  • 3
    4957
    Correct
    Wrong
  • 4
    4871
    Correct
    Wrong
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Answer : 1. "4320"
Explanation :

Answer: A) 4320 Explanation: Given Word is PROMISE. Number of letters in the word PROMISE = 7 Number of ways 7 letters can be arranged = 7! ways Number of Vowels in word PROMISE = 3 (O, I, E) Number of ways the vowels can be arranged that 3 Vowels come together = 5! x 3! ways   Now, the number of ways of arrangements so that three vowels should not come together = 7! - (5! x 3!) ways = 5040 - 720 = 4320.

Q: The ratio of speeds of a car, a train and a bus is 5:9:4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together ? 2308 0

  • 1
    84 km/hr
    Correct
    Wrong
  • 2
    96 km/hr
    Correct
    Wrong
  • 3
    72 km/hr
    Correct
    Wrong
  • 4
    60 km/hr
    Correct
    Wrong
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Answer : 1. "84 km/hr"
Explanation :

Answer: A) 84 km/hr Explanation: Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively.Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr.Also, 6x = 72 => x = 12 km/hrTherefore, the average speed of the car and train together is = 5x+9x2= 7x = 7 x 12 = 84 km/hr.

Q: What is the meaning of the four colour dots in the news paper? 2307 0

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Answer :
Explanation :

If you read newspaper daily, then you may be aware of the four coloured dots on the corner of the newspaper.    The four dots CMYK — blue (Cyan), pink (Magenta), Yellow and black (Kalio) are registration marks used during printing to help ensure the print is aligned properly. Any colour can be obtained by adding the correct proportion of these four colours.   CMYK is used as a base for the colours used in printing newspapers, and these four colours are often printed on the paper in either a heart, dot, or square shape.   To print an image, the plates of all these colours are laid out on a page separately and lined up in the same spot while printing. If those four dots are blur or you find the colours overlapping on the image it means the printing is not good. To print an accurate and perfect image, the colors and shape must be arranged precisely and must be claear sharp in order to get the best output.   That's why CMYK is also called registration mark. As physically checking all the pages of the paper is not possible for a printer who prints number of news papers daily, he just checks these dots.

Q: In which of the following organelles does photosynthesis take place? 2306 0

  • 1
    Miochondria
    Correct
    Wrong
  • 2
    Chloroplast
    Correct
    Wrong
  • 3
    Central Vacuole
    Correct
    Wrong
  • 4
    Ribosome
    Correct
    Wrong
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Answer : 2. "Chloroplast"
Explanation :

Answer: B) Chloroplast Explanation: Chloroplasts use energy from light to transform carbon dioxide and water into sugar and oxygen. A green pigment located in membranes within the chloroplasts of plants and algae and in the membranes of certain prokaryotes.

Q: An Engine length 1000 m moving at 10 m/s. A bird is flying from engine to end with 'x' m/s and coming back at '2x' m/s. Take total time of bird travelling as 187.5 s. Find x and 2x in km/hr ? 2306 0

  • 1
    21.4 and 42.8
    Correct
    Wrong
  • 2
    25.2 and 50.4
    Correct
    Wrong
  • 3
    31.4208 and 62.8416
    Correct
    Wrong
  • 4
    33.12 and 66.24
    Correct
    Wrong
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Answer : 3. "31.4208 and 62.8416"
Explanation :

Answer: C) 31.4208 and 62.8416 Explanation: Birds speeds in mtrs/sec is 'x' and '2x' .While flying from Engine to end, relative speed = (x+10) m/secfrom end to engine, flying speed = (2x - 10) mtr/secso 1000/(x+10) + 1000/(2x-10) = 187.5 secssolving it, we getso x = 8.728 m/sec and 2x= 17.456 m/sec x = 31.4208 km/hr and 2x = 62.8416 km/hr.

Q: Negative divided by Negative 2305 0

  • 1
    -ve
    Correct
    Wrong
  • 2
    +ve
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    Can't be determined
    Correct
    Wrong
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Answer : 2. "+ve"
Explanation :

Answer: B) +ve Explanation: We know the Mathematical rules that   ++ = ++- = --+ = --- = +

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