GATE Practice Question and Answer

Q: Find the next number in the given series ? 3, 7, 6, 5, 9, 3, 12, 1, 15, . . . 2801 0

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

Answer: D) -1 Explanation: 3, 7, 6, 5, 9, 3, 12, 1, 15, ... has two different series 1) 3, 6, 9, 12, 15..... 2) 7, 5, 3, 1, ..... -1 is the next number.

Q: If M $ N means M is the brother of N; M # N means M is the mother of N; M * N means M is the daughter of N. Then in I # J $ K * L, who is the father ? 2801 0

  • 1
    L
    Correct
    Wrong
  • 2
    K
    Correct
    Wrong
  • 3
    J
    Correct
    Wrong
  • 4
    I
    Correct
    Wrong
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Answer : 1. "L"
Explanation :

Answer: A) L Explanation: I is the mother of J, J is the brother of K and K is the daughter of L. Hence , L is the Father.

Q: The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol is ? 2795 0

  • 1
    6 ml
    Correct
    Wrong
  • 2
    11 ml
    Correct
    Wrong
  • 3
    15 ml
    Correct
    Wrong
  • 4
    9 ml
    Correct
    Wrong
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Answer : 1. "6 ml"
Explanation :

Answer: A) 6 ml Explanation: Let us assume that the lotion has 50% alcohol and 50% water.ratio = 1:1As the total solution is 9mlalcohol = water = 4.5mlNow if we want the quantity of alcohol = 30%The quantity of water = 70%The new ratio = 3:7Let x ml of water be addedWe get,4.54.5+x = 37=> x=6Hence 6ml of water is added.

Q: The simple interest on Rs. 25 for 4 months at the rate of 3 paise per rupee per month is : 2795 0

  • 1
    240 paise
    Correct
    Wrong
  • 2
    Rs. 1.40
    Correct
    Wrong
  • 3
    Rs. 2.20
    Correct
    Wrong
  • 4
    Rs. 3
    Correct
    Wrong
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Answer : 4. "Rs. 3"
Explanation :

Answer: D) Rs. 3 Explanation: I = PTR/100I = 25 x 4 x 0.03/100I = 0.03 x 100 = 300 Ps = Rs. 3

Q: A man can row against the current three fourth of a kilometer in 15 min and returns same distance in 10 min, then ratio of his speed to that of current? 2794 0

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

Answer: A) 5:1 Explanation: Let the speed of the man in still water = p kmph Speed of the current = s kmph Now, according to the questions (p + s) x 10 = (p - s) x 15 2p + 2s = 3p - 3s => p : s = 5 : 1   Hence, ratio of his speed to that of current = 5:1.

Q: 5 men and 3 boys can together cultivate a 23 acre field in 4 days and 3 men and 2 boys together can cultivate a 7 acre field in 2 days. How many boys will be needed together with 7 men, if they cultivate 45 acre of field in 6 days. 2789 0

  • 1
    6
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 3. "2"
Explanation :

Answer: C) 2 Explanation: Let work done by 1 man in i day be m and Let work done by 1 boy in 1 day be b From the given data, 4(5m + 3b) = 23 20m + 12b = 23....(1) 2(3m + 2b) = 7 6m + 4b = 7 ....(2) By solving (1) & (2), we get m = 1, b = 1/4 Let the number of required boys = n 6(7 1 + n x 1/4) = 45 => n = 2.

Q: Find the next number in the given number series? 96, 95, 87, 78, ? 2785 0

  • 1
    64
    Correct
    Wrong
  • 2
    57
    Correct
    Wrong
  • 3
    29
    Correct
    Wrong
  • 4
    14
    Correct
    Wrong
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Answer : 4. "14"
Explanation :

Answer: D) 14 Explanation: The given number series is 96, 95, 87, 78, ?  It follows a pattern that, 9696 - 12 = 9595 - 23 = 95 - 8 = 8787 - 32 = 87 - 9 = 7878 - 43 = 78 - 64 = 14   Hence, the next number in the given number series is 14.

Q: After independence, the first state organized on the basis of language age is  ? 2782 2

  • 1
    Karnataka
    Correct
    Wrong
  • 2
    Punjab
    Correct
    Wrong
  • 3
    Gujarat
    Correct
    Wrong
  • 4
    Andhra Pradesh
    Correct
    Wrong
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Answer : 4. "Andhra Pradesh"
Explanation :

Answer: D) Andhra Pradesh Explanation:

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