GATE Practice Question and Answer

Q: In a row, Kumar is at 7th place from the left and Pawan is at 9th place from the right. When they interchange the positions Kumar becomes 11th from left. How many were seated in the row ? 3312 0

  • 1
    19
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    21
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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Answer : 1. "19"
Explanation :

Answer: A) 19 Explanation: Initialy from left 7th = kumarfrom right 9th = pawanInterchange kumar = 11th from left, from right kumar = 9th;11+8 = 19;8 is 1,2,3,4,5,6,7(pawan),8,9,10,11(kumar),12,13,14,15,16,17,18,19;simply count the 9th place from right we will get total as 19.

Q: Find the least number by which 175760 be divided to make it a perfect cube. 3306 0

  • 1
    6
    Correct
    Wrong
  • 2
    10
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 2. "10"
Explanation :

Answer: B) 10 Explanation: 175760 =2³ x 2 x 5 x 13³= 2³ x 2 x 5 x 13³ To make perfect cube, it must be divided by 2 x 5 = 10

Q: The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s ? 3303 0

  • 1
    24%
    Correct
    Wrong
  • 2
    23 1/3%
    Correct
    Wrong
  • 3
    25 1/2%
    Correct
    Wrong
  • 4
    22 8/9 %
    Correct
    Wrong
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Answer : 2. "23 1/3%"
Explanation :

Answer: B) 23 1/3% Explanation: y=100 x=130 130---------30100---------? => 23 1/3%

Q: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes  ? 3299 0

  • 1
    21 min
    Correct
    Wrong
  • 2
    24 min
    Correct
    Wrong
  • 3
    20 min
    Correct
    Wrong
  • 4
    22 min
    Correct
    Wrong
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Answer : 1. "21 min"
Explanation :

Answer: A) 21 min Explanation: Let the pipe B be closed after 'K' minutes. 30/16 - K/24 = 1 => K/24 = 30/16 - 1 = 14/16 => K = 14/16 x 24 = 21 min.

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Answer : 4. "149600 kgs"
Explanation :

Answer: D) 149600 kgs Explanation: Let the total quantity of gold be p kgs. According to the question, 50% of p + 25% of p + 12.5% of p = 130900 87.5% of p = 130900 p = 130900 x 100/87.5  = 149600 kgs.   Therefore, the initial gold quantity that king has = p = 149600 kgs.

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Answer :
Explanation :

They walked and did this. It was never specified that the boat was at sea. Since this logic is observed by them to tackle situation.

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Answer : 3. "Both A & B gives result"
Explanation :

Answer: C) Both A & B gives result Explanation: a and b give, profit after 3 years = Rs.(3/8 x 22000) = Rs.8250. From c also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250. ∴ P's share = Rs.(8250 x 5/11) = Rs. 3750. Thus, (either C is redundant) or (a and b are redundant).

Q: 5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ? 3275 0

  • 1
    24 and 13 years
    Correct
    Wrong
  • 2
    48 and 24 years
    Correct
    Wrong
  • 3
    35 and 11 years
    Correct
    Wrong
  • 4
    33 and 15 years
    Correct
    Wrong
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Answer : 3. "35 and 11 years"
Explanation :

Answer: C) 35 and 11 years Explanation: Let the age of sushma be x and the age of her son is yThen five years before x-5=5(y-5) ...(1)Five years hence x+5 = 3(y+5)-8 .....(2) By soving (1) & (2), we get5y - 15 = 3y + 7y = 11 => x = 35 Therefore, the age of Sushma = 35 and her son = 11.

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