GATE Practice Question and Answer

Q: Dry ice is nothing but 2322 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: 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 ? 2313 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

Q: Which number replaces the '?' in the given series 108, 127, 2413, 2430, 41310, ?, 619875 2312 0

  • 1
    41975
    Correct
    Wrong
  • 2
    41325
    Correct
    Wrong
  • 3
    84375
    Correct
    Wrong
  • 4
    41365
    Correct
    Wrong
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Answer : 2. "41325"
Explanation :

Answer: B) 41325 Explanation: The given series follows a pattern of +19, x19, +17, x17, +15, x15,... Here the number which is to be replaced in ? is 41310+15=41325.

Q: What is the ratio of 18 minutes to one hour ? 2311 0

  • 1
    1/5
    Correct
    Wrong
  • 2
    3/4
    Correct
    Wrong
  • 3
    1/7
    Correct
    Wrong
  • 4
    3/10
    Correct
    Wrong
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Answer : 4. "3/10"
Explanation :

Answer: D) 3/10 Explanation: One hour = 60 min 18/60 = 3/10

Q: A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ? 2309 0

  • 1
    15
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    10
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 3. "10"
Explanation :

Answer: C) 10 Explanation: Let the price of each note book be Rs.x. Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y. Hence xy = 300 => y = 300/x (x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy =>5(300/x) - 10x - 50 = 0 => -150+x2+5x multiplying both sides by -1/10x => x2+15x-10x-150=0 => x(x + 15) - 10(x + 15) = 0 => x = 10 or -15 As x>0, x = 10.

Q: If Riya's age is four times the age of Siya and if Riya's age is 24 yrs , find the age difference between Riya and Siya ? 2309 0

  • 1
    2 yrs
    Correct
    Wrong
  • 2
    12 yrs
    Correct
    Wrong
  • 3
    18 yrs
    Correct
    Wrong
  • 4
    6 yrs
    Correct
    Wrong
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Answer : 3. "18 yrs"
Explanation :

Answer: C) 18 yrs Explanation: Let Siya's age = x Then Riya's age = 4x But given Riya's age = 24 => 4x = 24 => x = 6 Hence Siya's age = 6 yrs => The age difference = 24 - 6 = 18 yrs.

Q: The absorption of ink by blotting paper involves 2308 0

  • 1
    viscosity of ink
    Correct
    Wrong
  • 2
    diffusion of ink through the blotting
    Correct
    Wrong
  • 3
    capillary action phenomenon
    Correct
    Wrong
  • 4
    siphon action
    Correct
    Wrong
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Answer : 3. "capillary action phenomenon"
Explanation :

Answer: C) capillary action phenomenon Explanation: The absorption of ink by blotting paper involves capillary action phenomenon because the blotting paper is a thin and a smooth paper which allows a little thicker liquids like ink to absorb.

Q: Statements :-    All kids are God.   No God is a Human.   Some Human are Son.   All Son are Men.   Conclusions :-    (a) Some Son are not God.   (b) Some Men are Human. 2306 0

  • 1
    Only A follows
    Correct
    Wrong
  • 2
    Only B follows
    Correct
    Wrong
  • 3
    Both (A) and (B) follows
    Correct
    Wrong
  • 4
    A) and (B) follows D)
    Correct
    Wrong
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Answer : 3. "Both (A) and (B) follows"
Explanation :

Answer: C) Both (A) and (B) follows Explanation:

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