GATE Practice Question and Answer

Q: A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ? 2481 0

  • 1
    Rs. 316
    Correct
    Wrong
  • 2
    Rs. 251
    Correct
    Wrong
  • 3
    Rs. 154
    Correct
    Wrong
  • 4
    Rs. 294
    Correct
    Wrong
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Answer : 1. "Rs. 316"
Explanation :

Answer: A) Rs. 316 Explanation: S.I. for 2 years = (514 - 415) = Rs. 99S.I. for 1 year = 99/2 Principal = (415 - 99) = Rs. 316.

Q: Dry ice is nothing but 2481 0

  • 1
    Solid carbon dioxide
    Correct
    Wrong
  • 2
    Baking soda
    Correct
    Wrong
  • 3
    Gaseous carbon dioxide
    Correct
    Wrong
  • 4
    Carbon monoxide
    Correct
    Wrong
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Answer : 1. "Solid carbon dioxide"
Explanation :

Answer: A) Solid carbon dioxide Explanation:   Dry ice is solid form of carbon dioxide, used as a cooling agent.   It lower temperature than that of water ice and not leave any residue.

Q: 40% of 265 + 35% of 180 = 50% of ? 2481 0

  • 1
    383
    Correct
    Wrong
  • 2
    338
    Correct
    Wrong
  • 3
    84.5
    Correct
    Wrong
  • 4
    253.5
    Correct
    Wrong
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Answer : 2. "338"
Explanation :

Answer: B) 338 Explanation: We know that 40% = 25   40% of 265 + 35% of 180 = 50% ?   25 x 265 + 35% of 180 = 50% ?   We know that (35% of 180 = 180% of 35) & 180% = 95   25 x 265 + 95 x 35 = 50% ?   106 + 63 = 50% ?   ?= 2 x 169 = 338.

Q: Who invented Dynamite? 2477 0

  • 1
    Graham Bell
    Correct
    Wrong
  • 2
    Nikola Tesla
    Correct
    Wrong
  • 3
    Alfred Nobel
    Correct
    Wrong
  • 4
    Louis Pateur
    Correct
    Wrong
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Answer : 3. "Alfred Nobel"
Explanation :

Answer: C) Alfred Nobel Explanation: Alfred Bernhard Nobel was a Swedish chemist, engineer, inventor, businessman, and philanthropist. Known for inventing Dynamite, Nobel also owned Bofors, which he had redirected from its previous role as primarily an iron and steel producer to a major manufacturer of cannon and other armaments.

Q: That which cannot be corrected 2475 0

  • 1
    Incorrigible
    Correct
    Wrong
  • 2
    Illegible
    Correct
    Wrong
  • 3
    Illegal
    Correct
    Wrong
  • 4
    Indelible
    Correct
    Wrong
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Answer : 1. "Incorrigible"
Explanation :

Answer: A) Incorrigible Explanation: The One-word substitute for That which cannot be corrected is Incorrigible.

Q: 7, 11, 19, 35, ? Find the next number in the given number series? 2472 0

  • 1
    131
    Correct
    Wrong
  • 2
    94
    Correct
    Wrong
  • 3
    83
    Correct
    Wrong
  • 4
    67
    Correct
    Wrong
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Answer : 4. "67"
Explanation :

Answer: D) 67 Explanation: Here the given series 7, 11, 19, 35, ? follows a pattern that (x 2 - 3) i.e, 7 7 x 2 - 3 = 11 11 x 2 - 3 = 19 19 x 2 - 3 = 35 35 x 2 - 3 = 67 67 x 2 - 3 = 131   Hence the next number in the given number series is 67.

Q: Fill in the blank with suitable preposition in the following sentence.   ____ the two I prefer tea. 2471 0

  • 1
    From
    Correct
    Wrong
  • 2
    In
    Correct
    Wrong
  • 3
    Between
    Correct
    Wrong
  • 4
    Among
    Correct
    Wrong
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Answer : 3. "Between"
Explanation :

Answer: C) Between Explanation: Between the two I prefer tea is the correct sentence with suitable preposition.

Q: A box contains 4 different black balls, 3 different red balls and 5 different blue balls. In how many ways can the balls be selected if every selection must have at least 1 black ball and one red ball ? 2462 0

  • 1
    24 - 1
    Correct
    Wrong
  • 2
    2425-1
    Correct
    Wrong
  • 3
    (24-1)(23-1)25
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "(24-1)(23-1)25"
Explanation :

Answer: C) C Explanation: It is explicitly given that all the 4 black balls are different, all the 3 red balls are different and all the 5 blue balls are different. Hence this is a case where all are distinct objects.   Initially let's find out the number of ways in which we can select the black balls. Note that at least 1 black ball must be included in each selection.   Hence, we can select 1 black ball from 4 black ballsor 2 black balls from 4 black balls.or 3 black balls from 4 black balls.or 4 black balls from 4 black balls.   Hence, number of ways in which we can select the black balls   = 4C1 + 4C2 + 4C3 + 4C4= 24-1 ........(A)   Now let's find out the number of ways in which we can select the red balls. Note that at least 1 red ball must be included in each selection.   Hence, we can select 1 red ball from 3 red ballsor 2 red balls from 3 red ballsor 3 red balls from 3 red balls   Hence, number of ways in which we can select the red balls= 3C1 + 3C2 + 3C3=23-1........(B)   Hence, we can select 0 blue ball from 5 blue balls (i.e, do not select any blue ball. In this case, only black and red balls will be there)or 1 blue ball from 5 blue ballsor 2 blue balls from 5 blue ballsor 3 blue balls from 5 blue ballsor 4 blue balls from 5 blue ballsor 5 blue balls from 5 blue balls.   Hence, number of ways in which we can select the blue balls= 5C0 + 5C1 + 5C2 + … + 5C5= 25..............(C)   From (A), (B) and (C), required number of ways=  2524-123-1

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