GATE Practice Question and Answer
8Q: How many balls? Number of balls in the figure... 2212 05b5cc69ae4d2b4197774c796
5b5cc69ae4d2b4197774c796- Show AnswerHide Answer
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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 05b5cc697e4d2b4197774c5b9
5b5cc697e4d2b4197774c5b9- 1a pure substancefalse
- 2chemically cominedfalse
- 3they can be mixed in some fixed ratiofalse
- 4it is either homogenous or heterogenoustrue
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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 05b5cc6b5e4d2b4197774d54e
5b5cc6b5e4d2b4197774d54e- 1Powerfalse
- 2Currentfalse
- 3Frequencyfalse
- 4Voltagetrue
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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 05b5cc65ee4d2b4197774be54
5b5cc65ee4d2b4197774be54- 1a heterogeneous mixturetrue
- 2a pure solidfalse
- 3a pure liquidfalse
- 4a homogeneous mixturefalse
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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 05b5cc6b3e4d2b4197774d41e
5b5cc6b3e4d2b4197774d41e- 1ascendedfalse
- 2rescindedfalse
- 3descendedtrue
- 4intendedfalse
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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 05b5cc6e3e4d2b4197774eccf
5b5cc6e3e4d2b4197774eccf- 17 : 9false
- 29 : 7false
- 37 : 4false
- 47 : 10true
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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 05b5cc74ae4d2b4197774fad6
5b5cc74ae4d2b4197774fad6- 1175false
- 2345false
- 3265false
- 4300true
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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.
Q: On sport’s day, if 12 children were made to stand in each column, 98 columns could be formed. After a certain music being played the plan was that the children have to stand in concentric circles such that the innermost circle will have one student, the next circle will have two students, the third circle will have 3 students and so on. How many circles will be formed in this manner ? 2201 05b5cc71ee4d2b4197774f577
5b5cc71ee4d2b4197774f577- 144false
- 246false
- 348true
- 449false
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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.

