GATE Practice Question and Answer

Q: How many balls? Number of balls in the figure... 2212 0

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Answer :
Explanation :

You have to actually count all the balls in the pyramid.Simple way is to count the balls in each level. So lower most level lets say 1st level has 4 x 4 balls; i.e. 16 ballsSimilarly 2nd level has 3 x 3 balls; i.e. 9 balls.3rd level has 2 x 2 balls; i.e. 4 balls.The top most level has just 1 ball. So the total number of balls is 16+9+4+1 = 30.   So the image has 30 Balls in all.

Q: Which is a characteristic of a Mixture? 2210 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: A Step-Up Transformer Increases 2207 0

  • 1
    Power
    Correct
    Wrong
  • 2
    Current
    Correct
    Wrong
  • 3
    Frequency
    Correct
    Wrong
  • 4
    Voltage
    Correct
    Wrong
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Answer : 4. "Voltage"
Explanation :

Answer: D) Voltage Explanation: A transformer that increases voltage from primary to secondary (more secondary winding turns than primary winding turns) is called a Step-Up Transformer. Conversely, a transformer designed to do just the opposite is called a Step-Down Transformer.

Q: Which of the following CANNOT be considered a single phase? 2206 0

  • 1
    a heterogeneous mixture
    Correct
    Wrong
  • 2
    a pure solid
    Correct
    Wrong
  • 3
    a pure liquid
    Correct
    Wrong
  • 4
    a homogeneous mixture
    Correct
    Wrong
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Answer : 1. "a heterogeneous mixture"
Explanation :

Answer: A) a heterogeneous mixture Explanation: A pure solid and a pure liquid are definitely a single phase because they are so united, or homogeneous. This leads to a homogeneous mixture also being a single phase.   Hence, the option that cannot be considered a single phase is A. a heterogeneous mixture.

Q: Rita ? into the cellar. Which of the following words best suitable in the place of '?' 2204 0

  • 1
    ascended
    Correct
    Wrong
  • 2
    rescinded
    Correct
    Wrong
  • 3
    descended
    Correct
    Wrong
  • 4
    intended
    Correct
    Wrong
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Answer : 3. "descended"
Explanation :

Answer: C) descended Explanation: Rita descended into the cellar. Descended means went down. As the cellar is in the basement, she must go down. Options and meanings ::  descended  -  went down  rescinded   - cancelled or annulled ascended   - went up  intended    - meant

Q: What is the equivalent compound ratio of 5:6::7:10::6:5  ? 2203 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: 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 ? 2201 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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Answer : 3. "48"
Explanation :

Answer: C) 48 Explanation: No. of students will be 98 x 12 = 1176let us consider n circles then 1 + 2 + 3 + ....+ n = 1176n(n+1)/2 = 1176n = 48 circles.

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