GATE Practice Question and Answer
8Q: Find the quadratic equations whose roots are the reciprocals of the roots of 2x2+5x+3? 2155 05b5cc6dae4d2b4197774e88a
5b5cc6dae4d2b4197774e88a- 13x2+5x+2=0true
- 25x2+3x+2=0false
- 33x2-5x-2=0false
- 4Nonefalse
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Answer : 1. "3x2+5x+2=0"
Explanation :
Answer: A) A Explanation: The quadratic equation whose roots are reciprocal of 2x2+5x+3=0 can be obtained by replacing x by 1/x. Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0 => 3x2+5x+2=0
Q: Find the next two numbers in the sequence 4, 12, 6, 18, 12, 26, 30, ?, ? 2155 05b5cc6b8e4d2b4197774d655
5b5cc6b8e4d2b4197774d655- 136 & 90true
- 290 & 41false
- 345 & 36false
- 441 & 36false
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Answer : 1. "36 & 90"
Explanation :
Answer: A) 36 & 90 Explanation: the next 2 number in series we need to divide the series into 2 different series First series : 4 , 6, 12, 30 ?? Second Series : 12,18,26, ?? So we need to see for the pattern for those series in order to find the next two number , we can do this by finding the difference or division , multiplication logic whatever may apply : Pattern of Series 1 : 6 divide 4 : 1.5 Next number i.e 12 divided by 6=2 Next number i.e 30 divided by 12 =2.5 So series is going in multiples of 1.5, 2, 2.5, 3 , so on So first series will look like 4 , 6, 12, 30, 30x3 =90 Pattern of Series 2 : 12,18,26, ?? Its simple Adding numbers with iterative logic (i.e 6, 8, then followed by 10, 12) Series will be like 12,18,26,36. For the next two numbers : Series will be like 4, 12, 6, 18, 12, 26, 30, 36, 90
Q: What is more useful when it is broken? 2155 05b5cc698e4d2b4197774c640
5b5cc698e4d2b4197774c640- Show AnswerHide Answer
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Answer :
Explanation :
An Egg is more useful when it is broken than it is not.
Q: What kind of mathematics do scientists use to analyze data? 2154 05b5cc67be4d2b4197774c1ff
5b5cc67be4d2b4197774c1ff- 1Algebrafalse
- 2Calculusfalse
- 3Geometryfalse
- 4Statisticstrue
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Answer : 4. "Statistics"
Explanation :
Answer: D) Statistics Explanation: Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data. All scientists uses Statistics for analysing data.
Q: How is my father's mother's only daughter-in-law's daughter's father related to me ? 2154 05b5cc6e3e4d2b4197774ec9d
5b5cc6e3e4d2b4197774ec9d- 1Son-in-lawfalse
- 2Unclefalse
- 3Sonfalse
- 4Fathertrue
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Answer : 4. "Father"
Explanation :
Answer: D) Father Explanation: My fahter's mother's only daughter-in-law is my father's wife i.e. my mother. My mother's daughter is my sister. My sister's father is my father.
Q: What has a head and a tail but nobody? 2153 05b5cc666e4d2b4197774bec5
5b5cc666e4d2b4197774bec5- Show AnswerHide Answer
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Answer :
Explanation :
A Coin has a Head and tail but no body. Since the two sides of coin are called as heads and tails.
Q: Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ? 2153 05b5cc75ee4d2b4197774fcb6
5b5cc75ee4d2b4197774fcb6- 181false
- 278false
- 380.5false
- 481.5true
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Answer : 4. "81.5"
Explanation :
Answer: D) 81.5 Explanation: Let the number of students in classes A, B and C be P, Q and R respectively.Then, total score of A = 83P, total score of B = 76Q, total score of C = 85R.Also given that,(83P + 76Q) / (P + Q) = 79=>4P = 3Q.(76Q + 85R)/(Q + R) = 81=>4R = 5Q,=>Q = 4P/3 and R = 5P/3Therefore, average score of A, B, C = ( 83P + 76Q + 85R ) / (P + Q + R) = 978/12 = 81.5
Q: Magnetic domains normally occur in 2152 05b5cc61ee4d2b4197774b7a7
5b5cc61ee4d2b4197774b7a7- 1copperfalse
- 2silverfalse
- 3irontrue
- 4All of the abovefalse
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Answer : 3. "iron"
Explanation :
Answer: C) iron Explanation: A magnetic domain is a region within a magnetic material in which the magnetization is in a uniform direction. This means that the individual magnetic moments of the atoms are aligned with one another and they point in the same direction.

