GATE Practice Question and Answer

Q: The term biodiversity refers to 1917 0

  • 1
    Range of genetic variation within a population
    Correct
    Wrong
  • 2
    Total number of different species within a habitat
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Both A & B"
Explanation :

Answer: C) Both A & B Explanation: The term biodiversity refers to the variety of life on Earth at all its levels, from genes to ecosystems, and the ecological and evolutionary processes that sustain it.

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) 1917 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: Looking at a portrait of a man, Akhil said, "His mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Akhil looking ? 1917 0

  • 1
    His uncle
    Correct
    Wrong
  • 2
    His nephew
    Correct
    Wrong
  • 3
    His cousin
    Correct
    Wrong
  • 4
    His son
    Correct
    Wrong
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Answer : 4. "His son"
Explanation :

Answer: D) His son Explanation: Since Akhil has no brother or sister, so he is his father's only son.So wife of Akhil's father's son---Akhil's wife.Thus, Akhil's wife is the man's mother or the man is Akhil's son.

Q: A motorboat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the motorboat and speed of the water current respectively? 1916 0

  • 1
    3:7
    Correct
    Wrong
  • 2
    7:9
    Correct
    Wrong
  • 3
    5:4
    Correct
    Wrong
  • 4
    8:3
    Correct
    Wrong
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Answer : 4. "8:3"
Explanation :

Answer: D) 8:3 Explanation: Let the man's rate upstream be x kmph and that downstream be y kmph. Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs. x x 8 4 = (y x 4) 5 44 x =4y 5  y = 11 x. 5  Required ratio = y + x : y - x 2 2    = 16x x 1 : 6x x 1 5 2 5 2    = 8 : 3 5 5    = 8 : 3.

Q: If x = 2 + 223 + 213 then find the value of x3-6x2+6x ? 1916 0

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

Answer: B) 2 Explanation: Given that x = 2+ 223 + 213   So x - 2 = 223 + 213   Now cubing on both sides, we get     => x3-8-6x2+12x = 4 + 2 + 6(x-2)   Therefore, x3-6x2+6x = -6 + 8 = 2

Q: A woman fills a bucket in 6 minutes. 1845 buckets have to be filled from 8 am. to 9:30 am. How many woman employees should be employed for this task? 1915 0

  • 1
    111
    Correct
    Wrong
  • 2
    117
    Correct
    Wrong
  • 3
    123
    Correct
    Wrong
  • 4
    139
    Correct
    Wrong
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Answer : 3. "123"
Explanation :

Answer: C) 123 Explanation: We know that, M1 × D1W1 = M2 × D2W2 Here M1 = 1, D1 = 6 min, W1 = 1 and M2 = M, D2 = 90 min, W2 = 1845   1 × 61 = M × 901845  => M = 123

Q: Which formula represents a nonpolar molecule? 1914 0

  • 1
    H2O
    Correct
    Wrong
  • 2
    CF4
    Correct
    Wrong
  • 3
    HCl
    Correct
    Wrong
  • 4
    H2S
    Correct
    Wrong
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Answer : 2. "CF4"
Explanation :

Answer: B) CF4 Explanation: You have to consider three things. 1. First, are the bonds polar? Look at differences in electronegativity and if  it is >0.5, bonds are polar.   2. Second, does the molecule have unshared electron pairs? If so, they generally lead to a polar molecule.   3. Third, is the molecule symmetric? If so, then although the bonds may be polar, the symmetry cancels out the individual bond polarity and the molecule is non polar. CF4 follows all the rules above and has a symmetric distribution of charge, making it nonpolar. The others all have asymmetric charge distributions.   Hence, CF4 represents a Non-polar molecule.

Q: If in an A.P series 18th term is 29 and 29th term is 18. Then find the 49th term ? 1914 0

  • 1
    -3
    Correct
    Wrong
  • 2
    -2
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 2. "-2"
Explanation :

Answer: B) -2 Explanation: We know that in A.P series18th term = a + 17d29th term = a + 28dBut given a + 17d = 29..........(i)a + 28d = 18......... (ii)Solving equation (i) and (ii), we getd = -1put d = -1 in any of the above equations and we get, a = 46Now, we know 49th term can be written as, a + 48d putting the value of a and d in the above equation,a + 48d = 46 + 48(-1) = 46 - 48 = -2 Hence, the 49th term is -2.

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