GATE Practice Question and Answer

Q: A man pointing to a lady says, "Her brother is the father of my only son's sister."  How is that lady related to the man ? 3041 0

  • 1
    sister of father-in-law
    Correct
    Wrong
  • 2
    daughter-in-law
    Correct
    Wrong
  • 3
    Sister
    Correct
    Wrong
  • 4
    daughter
    Correct
    Wrong
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Answer : 3. "Sister"
Explanation :

Answer: C) Sister Explanation:

Q: The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop? 3033 0

  • 1
    444
    Correct
    Wrong
  • 2
    344
    Correct
    Wrong
  • 3
    244
    Correct
    Wrong
  • 4
    144
    Correct
    Wrong
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Answer : 4. "144"
Explanation :

Answer: D) 144 Explanation: Given ratio of pens and pencils = 3 :2 Number of Pens = 3x Number of Pencils = 2x Average number of pencils & Pens = 3x + 2x2 = 180 5x = 360 => x = 72 Hence, the number of pencils = 2x = 72 x 2 = 144.

Q: Given that on 9th August 2016 is Saturday. What was the day on 9th August 1616 ? 3032 0

  • 1
    Saturday
    Correct
    Wrong
  • 2
    Sunday
    Correct
    Wrong
  • 3
    Friday
    Correct
    Wrong
  • 4
    Monday
    Correct
    Wrong
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Answer : 1. "Saturday"
Explanation :

Answer: A) Saturday Explanation: We know that, After every 400 years, the same day occurs.Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.

Q: Fill in the blanks with suitable prepositions from the given options. The dog was sitting _______ the table waiting _______ catch the ball that was thrown ________ him _________ his master. 3029 0

  • 1
    below, for, to, by
    Correct
    Wrong
  • 2
    under, for, towards, by
    Correct
    Wrong
  • 3
    up, to, towards, by
    Correct
    Wrong
  • 4
    under, to, towards, by
    Correct
    Wrong
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Answer : 4. "under, to, towards, by"
Explanation :

Answer: D) under, to, towards, by Explanation: The dog was sitting under the table waiting to catch the ball that was thrown towards him by his master.

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Answer : 3. "Either b alone or a & b follows"
Explanation :

Answer: C) Either b alone or a & b follows Explanation: From statement (b)Average of 11 players = 11 x 28 = 308Average of 10 players = 10 x 27.3 = 273Age of captain = 308 - 273 = 35. From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers ageFrom the statement (c),the averge age of 3groups of 3players each was given,It means total 9 players age was given indirectly,1st group: 25 x 3 = 752nd group: 28 x 3 = 843rd group: 30 x 3 = 90Total  is 75 + 84 + 90 = 249Now {C + Y + (9 players age sum)}/11 = 28Y + 11 + Y + (249) = 28 x 11=3082Y+260=3082Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35 Therefore, statement b alone or a & c only is the answer.

Q: The respective ratio between the speed of a bike, a van  and lorry is 3 : 5 : 2. The speed of the van is 250 percent of the speed of the lorry which covers 360 km in 12 hours. What is the average speed of the bike and the van together? 3018 0

  • 1
    60 kmph
    Correct
    Wrong
  • 2
    62 kmph
    Correct
    Wrong
  • 3
    64 kmph
    Correct
    Wrong
  • 4
    63 kmph
    Correct
    Wrong
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Answer : 1. "60 kmph"
Explanation :

Answer: A) 60 kmph Explanation: Speed of lorry = 36012 = 30 kmph Speed of van =250100 x 30 = 75 kmph Speed of bike = 35 x 75 = 45 kmph Therefore, now required average speed of bike and van  = 75 + 452= 60 kmph.

Q: A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres ? 3016 0

  • 1
    68%
    Correct
    Wrong
  • 2
    80%
    Correct
    Wrong
  • 3
    75%
    Correct
    Wrong
  • 4
    100%
    Correct
    Wrong
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Answer : 4. "100%"
Explanation :

Answer: D) 100% Explanation: When 3 passengers income was 3xexpense= Rs.30 profit =20% of 30 = Rs.6 That means his earning is Rs.36. so that per passenger fare must be Rs.12. When 4 passengersearning = 12x4=Rs.48.expense =Rs.24.profit = Rs.24 = 100%

Q: A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water   ? 3013 0

  • 1
    2 lit
    Correct
    Wrong
  • 2
    4 lit
    Correct
    Wrong
  • 3
    1 lit
    Correct
    Wrong
  • 4
    3 lit
    Correct
    Wrong
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Answer : 1. "2 lit"
Explanation :

Answer: A) 2 lit Explanation: Quantity of fruit juice in the mixture = 70 - [70 x (10/100) ]= 63 litres.   After adding water, juice would form 87.5% of the mixture.   Hence, if quantity of mixture after adding x liters of water, [(87.5) /100 ]*x = 63 => x = 72    Hence 72 - 70 = 2 litres of water must be added.

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