GATE Practice Question and Answer

Q: Solve the Number Puzzle ? 1301 0

  • 1
    20
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    26
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 3. "26"
Explanation :

Answer: C) 26 Explanation: Here the puzzle follows the logic that Right side number = sum of the number on the left side and the previous number on the left side => 6 = 4+2 => 10 = 6+4 => ? = 16+10 = 26.

Q: A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ? 1300 0

  • 1
    32.5 hrs
    Correct
    Wrong
  • 2
    29.25 hrs
    Correct
    Wrong
  • 3
    30.30 hrs
    Correct
    Wrong
  • 4
    31 hrs
    Correct
    Wrong
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Answer : 2. "29.25 hrs"
Explanation :

Answer: B) 29.25 hrs Explanation: Let the leak will empty the tank in x hrs  Then, 1/9 - 1/x = 1/13 x = 29.25 hrs

Q: 125% as a Fraction? 1300 0

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

Answer: C) 5/4 Explanation: Literally any percentage means divide by 100. So 125% = 125100. That can be reduced to 5/4. To convert to a decimal, you can do long division, dividing 5 into 4.

Q: Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420 ? 1299 0

  • 1
    Rs. 2000
    Correct
    Wrong
  • 2
    Rs. 2100
    Correct
    Wrong
  • 3
    Rs. 1900
    Correct
    Wrong
  • 4
    Rs. 2150
    Correct
    Wrong
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Answer : 1. "Rs. 2000"
Explanation :

Answer: A) Rs. 2000 Explanation: Given, Compound rate, R = 10% per annumTime = 2 yearsC.I = Rs. 420Let P be the required principal.A = (P+C.I)Amount, A = P1 + r100n (P+C.I) = P1 + 101002 (P+420) = P[11/10][11/10] P-1.21P = -420 0.21P = 420 Hence, P = 420/0.21 = Rs. 2000

Q: You drive to the store at 20 kmph and return by the same route at 30 kmph. Discounting the time spent at the store, what was your average speed ? 1299 0

  • 1
    25 kmph
    Correct
    Wrong
  • 2
    24 kmph
    Correct
    Wrong
  • 3
    26 kmph
    Correct
    Wrong
  • 4
    22 kmph
    Correct
    Wrong
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Answer : 2. "24 kmph"
Explanation :

Answer: B) 24 kmph Explanation: Average speed=total distance/total timeLet distance to store be  Kthen, total time =(K/20)+(K/30)=K/12and, total time =(2K)so average speed= 2K / (K/12) = 24kmph.

Q: Order of basicity of amines in gaseous state? 1298 0

  • 1
    2'> 1'> 3' > NH3
    Correct
    Wrong
  • 2
    3' > 2' > 1'> NH3
    Correct
    Wrong
  • 3
    1' > 2' > 3'> NH3
    Correct
    Wrong
  • 4
    2'> 3'> 1' > NH3
    Correct
    Wrong
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Answer : 2. "3' > 2' > 1'> NH3"
Explanation :

Answer: B) 3' > 2' > 1'> NH3 Explanation: The order of basicity in ammonia is different in gaseous phases vs. aqueous phases due to hydrogen bonding.   So in gaseous phases it's the well known: 3' > 2' > 1'> NH3. Just so we're on the same page, this is due to the inductive effect of electron donating alkyl groups--they destabilize the lone pair on nitrogen atom, making nitrogen more basic.   But in aqueous phase, the order is slightly different: 2'> 1'> 3' > NH3.

Q: A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container ? 1296 0

  • 1
    88.01 lit
    Correct
    Wrong
  • 2
    87.48 lit
    Correct
    Wrong
  • 3
    87.51 lit
    Correct
    Wrong
  • 4
    87.62 lit
    Correct
    Wrong
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Answer : 2. "87.48 lit"
Explanation :

Answer: B) 87.48 lit Explanation: For these type of problems, Quantity of Diesel remained = q1-pqn      Here p = 12 , q = 120    => 1201-121203 = 120 x 0.9 x 0.9 x 0.9 = 87.48 lit.

Q: 3 : 12 :: 5 : ? 1296 0

  • 1
    17
    Correct
    Wrong
  • 2
    30
    Correct
    Wrong
  • 3
    26
    Correct
    Wrong
  • 4
    32
    Correct
    Wrong
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Answer : 2. "30"
Explanation :

Answer: B) 30 Explanation: 332 + 3 = 12552 + 5 = 30

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