GATE Practice Question and Answer

Q: Find the missing number? 15, 30, ? , 40, 8, 48 6976 0

  • 1
    21
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    19
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 4. "10"
Explanation :

Answer: D) 10 Explanation: Given nuber series is 15, 30, ? , 40, 8, 48  Here the number series follows a pattern that 15 15 x 2 = 30 30 ÷ 3 = 10 10 x 4 = 40 40 ÷ 5 = 8 8 x 6 = 48 Hence, the missing number in the series is 10.

Q: Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,... 1683 1

  • 1
    3924
    Correct
    Wrong
  • 2
    1962
    Correct
    Wrong
  • 3
    1684
    Correct
    Wrong
  • 4
    1452
    Correct
    Wrong
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Answer : 2. "1962"
Explanation :

Answer: B) 1962 Explanation: Arithmetic Series ::   An Arithmetic Series is a series of numbers in which each term increases by a constant amount.   How to find the sum of the Arithmetic Sequence or Series for the given Series ::   When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.   That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term   Here Last term is given by an = a1 + n-1d where d = common difference   Now given Arithmetic Series is    2, 5, 8, 11,...   Here a1 = 2,  d = 3, n = 36    Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107    Now, Sum to 36 terms is given by   S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962       Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

Q: A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is 1409 0

  • 1
    1 : 10
    Correct
    Wrong
  • 2
    10 : 1
    Correct
    Wrong
  • 3
    9 : 11
    Correct
    Wrong
  • 4
    11 : 9
    Correct
    Wrong
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Answer : 1. "1 : 10"
Explanation :

Answer: A) 1 : 10 Explanation: Customer ratio of Milk and Water is given by Milk          ::        Water   6.4                         0          81 + 38 =6411  6411                      6410 - 6411  => Milk : Water = 110 : 11 = 10 : 1   Therefore, the proportionate of Water to Milk for Customer is 1 : 10

Q: 1 Billion Seconds Equals to 1593 0

  • 1
    34.76 years
    Correct
    Wrong
  • 2
    32.48 years
    Correct
    Wrong
  • 3
    33.31 years
    Correct
    Wrong
  • 4
    31.68 years
    Correct
    Wrong
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Answer : 4. "31.68 years"
Explanation :

Answer: D) 31.68 years Explanation: We know that 1 year = 365.25 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds   => 1 Year = 365.25 x 24 x 60 x 60 Seconds But 1 billion seconds = ? 1 Year = 365.25 x 24 x 60 x 60 Seconds     ?     =  1000000000 Seconds   ? = 1000000000365.25 x 24 x 60 x 60 years = 31. 68 years.

Q: What is Black, when Clean and White, when Dirty? 1714 0

  • 1
    Shoes
    Correct
    Wrong
  • 2
    Car
    Correct
    Wrong
  • 3
    Chalkboard
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "Chalkboard"
Explanation :

Answer: C) Chalkboard Explanation: It is Blackboard or Chalkboard which is Black when clean, and as you write on it with white chalk it becomes dirty in White color.

Q: How many weekends in a year? 1386 0

  • 1
    52
    Correct
    Wrong
  • 2
    53
    Correct
    Wrong
  • 3
    103
    Correct
    Wrong
  • 4
    104
    Correct
    Wrong
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Answer : 4. "104"
Explanation :

Answer: D) 104 Explanation: In normal we have 104 Weekend Days. We know that a Each normal year has 365 days or 52 weeks plus one day, and each week has two weekend days, which means there are approximately 104 weekend days each year. Whereas in a leap year we have 366 days it adds one more day to the year. And what makes the change is the starting day of the year.

Q: The element common to all Acids is 1686 0

  • 1
    Nitrogen
    Correct
    Wrong
  • 2
    Oxygen
    Correct
    Wrong
  • 3
    Hydrogen
    Correct
    Wrong
  • 4
    Carbon
    Correct
    Wrong
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Answer : 3. "Hydrogen"
Explanation :

Answer: C) Hydrogen Explanation: Hydrogen is the common element to all Acids. But every element which contains Hydrogen is not an Acid. Most of the acids also contain Oxygen.

Q: Find the missing number in the series 1, 6,  ?, 15, 45, 66, 91 2534 1

  • 1
    24
    Correct
    Wrong
  • 2
    28
    Correct
    Wrong
  • 3
    32
    Correct
    Wrong
  • 4
    26
    Correct
    Wrong
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Answer : 2. "28"
Explanation :

Answer: B) 28 Explanation: Here the given series 1, 6,  ?, 15, 45, 66, 91 follows a Pattern in the series is, +5, +9, +13,...,.. +21, +25 So +4 is getting increased at every term addition. Missing Number in the series will be 15+(9+4) = 15 + 13 = 28.

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