GATE Practice Question and Answer

Q: The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ? 1660 0

  • 1
    32
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    44
    Correct
    Wrong
  • 4
    52
    Correct
    Wrong
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Answer : 1. "32"
Explanation :

Answer: A) 32 Explanation: Given ratio of number of sheep and horses = 4 : 15Let number of sheep and horses are 4k and 15k Number of horses = 13200/110 = 120 Now 15K = 120 and k = 8 Number of sheep = 4k = (4 x 8) = 32

Q: K can lay Highway road between two cities in 16 days. L can do the same job in 12 days. With the help of M, they completes the job in 4 days. How much days does it take for M alone to complete the work ? 1659 0

  • 1
    47/7 days
    Correct
    Wrong
  • 2
    59/6 days
    Correct
    Wrong
  • 3
    48/5 days
    Correct
    Wrong
  • 4
    57/5 days
    Correct
    Wrong
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Answer : 3. "48/5 days"
Explanation :

Answer: C) 48/5 days Explanation: Amount of work K can do in 1 day = 1/16 Amount of work L can do in 1 day = 1/12 Amount of work K, L and M can together do in 1 day = 1/4 Amount of work M can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48 => Hence M can do the job on 48/5 days = 9 (3/5) days

Q: Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is : 1659 0

  • 1
    83
    Correct
    Wrong
  • 2
    89
    Correct
    Wrong
  • 3
    85
    Correct
    Wrong
  • 4
    79
    Correct
    Wrong
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Answer : 3. "85"
Explanation :

Answer: C) 85 Explanation: Since the numbers are co-prime, they contain only 1 as the common factor.Also, the given two products have the middle number in common.So, middle number = H.C.F of 551 and 1073 = 29;First number = 551/29 = 19Third number = 1073/29 = 37.Required sum = 19 + 29 + 37 = 85.

Q: In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ? 1659 0

  • 1
    138 to 164
    Correct
    Wrong
  • 2
    125 to 147
    Correct
    Wrong
  • 3
    148 to 158
    Correct
    Wrong
  • 4
    152 to 164
    Correct
    Wrong
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Answer : 4. "152 to 164"
Explanation :

Answer: D) 152 to 164 Explanation: A+7B=112 it is clear that A = 14, then it becomes A>=B, but A is smallest angle) givenso, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)

Q: In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm) 1659 0

  • 1
    80%
    Correct
    Wrong
  • 2
    70%
    Correct
    Wrong
  • 3
    75%
    Correct
    Wrong
  • 4
    62%
    Correct
    Wrong
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Answer : 1. "80%"
Explanation :

Answer: A) 80% Explanation: Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm.   After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm.   So % of water = 100 x 60/75 = 80%.

Q: Which of the following is not a monosaccharide? 1658 0

  • 1
    Fructose
    Correct
    Wrong
  • 2
    Glucose
    Correct
    Wrong
  • 3
    Galactose
    Correct
    Wrong
  • 4
    Sucrose
    Correct
    Wrong
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Answer : 4. "Sucrose"
Explanation :

Answer: D) Sucrose Explanation: Sucrose is not a monosaccharide.   Monosaccharides are simple carbohydrates molecules that cannot be broken down into smaller molecules of other carbohydrates.   Glucose, galactose and fructose are examples of Monosaccharides.

Q: An alloy of copper and bronze weight 50g. It contains 80% Copper. How much copper should be added to the alloy so that percentage of copper is increased to 90%? 1658 0

  • 1
    45 gm
    Correct
    Wrong
  • 2
    50 gm
    Correct
    Wrong
  • 3
    55 gm
    Correct
    Wrong
  • 4
    60 gm
    Correct
    Wrong
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Answer : 2. "50 gm"
Explanation :

Answer: B) 50 gm Explanation: Initial quantity of copper =80100 x 50 = 40 g  And that of Bronze = 50 - 40 = 10 g Let 'p' gm of copper is added to the mixture => 50 + p x 90100 = 40 + p => 45 + 0.9p = 40 + p => p = 50 g Hence, 50 gms of copper is added to the mixture, so that the copper is increased to 90%.

Q: Add is to multiply as subtract is to 1656 0

  • 1
    fraction
    Correct
    Wrong
  • 2
    divide
    Correct
    Wrong
  • 3
    decimal
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 2. "divide"
Explanation :

Answer: B) divide Explanation: Here if you observe, add and subtract are opposite in nature. Similarly, mutiply and divide are also opposite in nature.   Hence, Add : Multiply :: Subtract : Divide.

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