GATE Practice Question and Answer

Q: Find the next number in the given number series? 35, 36, 55, 111, ? 2523 0

  • 1
    278.5
    Correct
    Wrong
  • 2
    264.5
    Correct
    Wrong
  • 3
    212.5
    Correct
    Wrong
  • 4
    202
    Correct
    Wrong
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Answer : 1. "278.5"
Explanation :

Answer: A) 278.5 Explanation: The given number series is 35, 36, 55, 111, ? 35 35 x 1 + 1 = 36 36 x 1.5 + 1 = 55 55 x 2 + 1 = 111 111 x 2.5 + 1 = 278.5   Hence, the next number in the given number series is 278.5.

Q: What should come next in the following number series? 9 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 7 6 5 4 3 2 1 2523 0

  • 1
    9
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 4. "6"
Explanation :

Answer: D) 6 Explanation: Here the series is:   987654321, 87654321, 7654321, 65...

Q: Fact 1: All hats have brims.Fact 2: There are black hats and blue hats.Fact 3: Baseball caps are hats. If the first three statements are facts, which of the following statements must also be a fact?I. All caps have brims.II. Some baseball caps are blue.III. Baseball caps have no brims. 2523 0

  • 1
    I only
    Correct
    Wrong
  • 2
    II only
    Correct
    Wrong
  • 3
    I, II, and III
    Correct
    Wrong
  • 4
    None of the statements is a fact.
    Correct
    Wrong
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Answer : 4. "None of the statements is a fact."
Explanation :

Answer: D) None of the statements is a fact. Explanation: All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III—but it doesn’t follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.

Q: What is the equivalent compound ratio of 5:6::7:10::6:5  ? 2520 0

  • 1
    7 : 9
    Correct
    Wrong
  • 2
    9 : 7
    Correct
    Wrong
  • 3
    7 : 4
    Correct
    Wrong
  • 4
    7 : 10
    Correct
    Wrong
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Answer : 4. "7 : 10"
Explanation :

Answer: D) 7 : 10 Explanation: Given 5:6 :: 7:10 :: 6:5 We know that compound ratio is calculated as a:b :: c:d :: e:f(axcxe):(bxdxf) => (5x7x6):(6x10x5)=> (210):(300)= 7:10

Q: Which is a characteristic of a Mixture? 2518 0

  • 1
    a pure substance
    Correct
    Wrong
  • 2
    chemically comined
    Correct
    Wrong
  • 3
    they can be mixed in some fixed ratio
    Correct
    Wrong
  • 4
    it is either homogenous or heterogenous
    Correct
    Wrong
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Answer : 4. "it is either homogenous or heterogenous"
Explanation :

Answer: D) it is either homogenous or heterogenous Explanation: A mixture is the blending of two or more dissimilar substances.   Characteristics of a Mixture: 1. It has No formula. 2. It is an impure sustance 3. They can be mixed in any ratio. 4. The properties of the mixture are the properties of its constituents. 5. Constituents can e easily seperated by physical methods.eg: Heating, Drying, Crystallization, Distillation etc... 6. It is either homogenous or heterogenous.   A major characteristic of mixtures is that the materials do not chemically combine. Mixtures can be divided into those that are evenly distributed (homogeneous) and those that aren't (heterogeneous).

Q: How many seconds in 10 years? 2517 0

  • 1
    31523500 sec
    Correct
    Wrong
  • 2
    315360000 sec
    Correct
    Wrong
  • 3
    315423000 sec
    Correct
    Wrong
  • 4
    315354000 sec
    Correct
    Wrong
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Answer : 2. "315360000 sec"
Explanation :

Answer: B) 315360000 sec Explanation: We know that, 1 year = 365 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds.   Then, 1 year = 365 x 24 x 60 x 60 seconds. = 8760 x 3600 1 year = 31536000 seconds.   Hence, 10 years = 31536000 x 10 = 315360000 seconds.

Q: The complexity of linear search algorithm is 2515 0

  • 1
    O(n2)
    Correct
    Wrong
  • 2
    O(n log n)
    Correct
    Wrong
  • 3
    O(n)
    Correct
    Wrong
  • 4
    O(log n)
    Correct
    Wrong
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Answer : 3. "O(n)"
Explanation :

Answer: C) O(n) Explanation: The worst case complexity of linear search is O(n).

Q: A store owner is packing books into larger boxes that measure 25 by 42 by 60 inches. If the measurement of each book is 7 by 6 by 5 inches, then how many books can be placed in the box ? 2513 0

  • 1
    175
    Correct
    Wrong
  • 2
    345
    Correct
    Wrong
  • 3
    265
    Correct
    Wrong
  • 4
    300
    Correct
    Wrong
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Answer : 4. "300"
Explanation :

Answer: D) 300 Explanation: Number of books that can be placed in the larger box is given by Volume of Box / Volume of book.Now, n = 25 x 42 x 60 / 7 x 6 x 5 = 63000 / 210 = 300.Therefore, 300 books can be in that box.

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