GATE Practice Question and 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? 3760 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.

Q: At 6′o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock ? 3756 0

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    66 sec
    Correct
    Wrong
  • 2
    55 sec
    Correct
    Wrong
  • 3
    36 sec
    Correct
    Wrong
  • 4
    24 sec
    Correct
    Wrong
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Answer : 1. "66 sec"
Explanation :

Answer: A) 66 sec Explanation: For ticking 6 times, there are 5 intervals. Each interval has time duration of 30/5 = 6 secs At 12 o'clock, there are 11 intervals,so total time for 11 intervals = 11 x 6 = 66 secs.

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Answer : 3. "16/25"
Explanation :

Answer: C) 16/25 Explanation: If there are total 100 candidates, 40 candidates are really capable and 60 candidates are incapable.Of the candidates who are really capable = 80% 40*(80/100)=32 pass the test andof the incapable= 30%60*(30/100)=18 pass the test.Total candidates who passed the test = 32+18 = 50The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.

Q: Transition : Change :: Immobility :  ? 3743 0

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    Stillness
    Correct
    Wrong
  • 2
    Liveliness
    Correct
    Wrong
  • 3
    Action
    Correct
    Wrong
  • 4
    Busyness
    Correct
    Wrong
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Answer : 1. "Stillness"
Explanation :

Answer: A) Stillness Explanation: Given Transition is to Change, and we know that Transition and change are Synonyms. Similarly, Immobility means not moving and synonym of immobility are motionlessness, stillness,...   Hence, Transition is to change as immobility is to stillness.

Q: The ratio of the incomes of Pavan and Amar is 4 : 3 and the ratio of their expenditures are 3:2. If each person saves Rs. 1889, then find the income of Pavan? 3742 0

  • 1
    6548
    Correct
    Wrong
  • 2
    5667
    Correct
    Wrong
  • 3
    7556
    Correct
    Wrong
  • 4
    8457
    Correct
    Wrong
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Answer : 3. "7556"
Explanation :

Answer: C) 7556 Explanation: Let ratio of the incomes of Pavan and Amar be 4x and 3x and Ratio of their expenditures be 3y and 2y 4x - 3y = 1889 ......... I and 3x - 2y = 1889 ...........II I and II y = 1889 and x = 1889 Pavan's income = 7556

Q: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ? 3730 0

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    12 & 7
    Correct
    Wrong
  • 2
    13 & 8
    Correct
    Wrong
  • 3
    15 & 10
    Correct
    Wrong
  • 4
    14 & 9
    Correct
    Wrong
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Answer : 1. "12 & 7"
Explanation :

Answer: A) 12 & 7 Explanation: x – y = 5 4x – 6y = 6 x = 12 y = 7

Q: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ? 3727 0

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

Answer: D) 4 3/8 km Explanation: Relative Speed = 5 ¾ - 4 ½ = 1 ¼ Time = 3 ½ h. Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.

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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.

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