GATE Practice Question and Answer

Q: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ? 4061 0

  • 1
    Rs. 500
    Correct
    Wrong
  • 2
    Rs. 245
    Correct
    Wrong
  • 3
    Rs. 1250
    Correct
    Wrong
  • 4
    Rs. 635
    Correct
    Wrong
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Answer : 1. "Rs. 500"
Explanation :

Answer: A) Rs. 500 Explanation: (kx5x1)/100 + [(1500 - k)x6x1]/100 = 85 5k/100 + 90 – 6k/100 = 85 k/100 = 5 => k = 500

Q: Pick the odd one out from the given number series? 21, 24, 33, 49, 74 4047 0

  • 1
    21
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    33
    Correct
    Wrong
  • 4
    49
    Correct
    Wrong
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Answer : 1. "21"
Explanation :

Answer: A) 21 Explanation: The given number series follows a pattern that, 19 + 12 = 20 (not 21)20 + 22 = 2424 + 32 = 3333 + 42 = 4949 + 52 = 74    Hence, the odd number in the given number series is 21.

Q: Which is a green planet in the solar system? 4027 0

  • 1
    Pluto
    Correct
    Wrong
  • 2
    Venus
    Correct
    Wrong
  • 3
    Uranus
    Correct
    Wrong
  • 4
    Mars
    Correct
    Wrong
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Answer : 3. "Uranus"
Explanation :

Answer: C) Uranus Explanation: Uranus is the seventh planet from the Sun which looks green color. It has the third-largest planetary radius and fourth-largest planetary mass in the Solar System. Uranus is similar in composition to Neptune, and both have different bulk chemical composition from that of the larger gas giants Jupiter and Saturn.   Colors of other planets:: Mercury - Gray or slightly brownish Venus - Pale yellow Earth - Blue with white clouds Mars - Mostly reddish brown Jupiter - Orange and white bands Saturn - Pale gold Uranus - Green Neptune - Pale blue Pluto - Light brown

Q: Fresh grapes contain 60% water, while dry grapes contain 40% water. How many kgs of dry grapes can be obtained by 60 kg of fresh grapes? 4027 0

  • 1
    25 kgs
    Correct
    Wrong
  • 2
    30 kgs
    Correct
    Wrong
  • 3
    35 kgs
    Correct
    Wrong
  • 4
    40 kgs
    Correct
    Wrong
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Answer : 4. "40 kgs"
Explanation :

Answer: D) 40 kgs Explanation: The fruit content in both the fresh fruit and dry fruit is the same. Let 'p' kgs of dry grapes are obtained from the 60 kgs of fresh grapes   => 60 x 40100 = p x 60100=> p = 40 kgs.   Therefore, 40 kgs of Dry grapes are obtained from 60 kgs of Fresh grapes.

Q: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current  ? 4012 0

  • 1
    1 kmph
    Correct
    Wrong
  • 2
    3.2 kmph
    Correct
    Wrong
  • 3
    1.5 kmph
    Correct
    Wrong
  • 4
    2 kmph
    Correct
    Wrong
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Answer : 3. "1.5 kmph"
Explanation :

Answer: C) 1.5 kmph Explanation: 72 --- 9 ? ---- 1 => Down Stream = 8 45 ---- 9 ? ---- 1 => Up Stream = 5 Speed od current S = ? S = (8 - 5)/2 = 1.5 kmph.

Q: In a class 60% of the students pass in English and 45% pass in Hindi. If 25% of them pass in both subjects, what percentage of the students fail in both the subjects? 4003 1

  • 1
    20%
    Correct
    Wrong
  • 2
    25%
    Correct
    Wrong
  • 3
    30%
    Correct
    Wrong
  • 4
    15%
    Correct
    Wrong
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Answer : 1. "20%"
Explanation :

Answer: A) 20% Explanation: Percentage of students passed in English = 60% Percentage of students passed in Hindi = 45% Percentage of students passed in both subjects = 25% ATQ, Percentage of students passed in only English = 60 - 25 = 35% Percentage of students passed in only Hindi = 45 - 25 = 20% Therefore, Percentage of students failed = 100 - (35 + 25 + 20) = 100 - 80 = 20%.

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Answer : 2. "J, L"
Explanation :

Answer: B) J, L Explanation: This question concerns a committee’s decision about which five of eight areas of expenditure to reduce. The question requires you to suppose that K and N are among the areas that are to be reduced, and then to determine which pair of areas could not also be among the five areas that are reduced. The fourth condition given in the passage on which this question is based requires that exactly two of K, N, and J are reduced. Since the question asks us to suppose that both K and N are reduced, we know that J must not be reduced: Reduced         ::      K, NNot reduced   ::      J The second condition requires that if L is reduced, neither N nor O is reduced. So L and N cannot both be reduced. Here, since N is reduced, we know that L cannot be. Thus, adding this to what we’ve determined so far, we know that J and L are a pair of areas that cannot both be reduced if both K and N are reduced: Reduced        ::      K, NNot reduced  ::      J, L Answer choice (B) is therefore the correct answer.

Q: The ratio of two positive numbers is 3 : 5 and the average of the number is 48. What is the product of numbers? 3991 1

  • 1
    3365
    Correct
    Wrong
  • 2
    2160
    Correct
    Wrong
  • 3
    1854
    Correct
    Wrong
  • 4
    1632
    Correct
    Wrong
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Answer : 2. "2160"
Explanation :

Answer: B) 2160 Explanation: Let the number be 3p and 5p ATQ, 8p = 2 x 48 p = 96/8 p = 12   The numbers are 36 and 60.   Hence, the product of the numbers = 36 x 60 = 2160.

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