GATE Practice Question and Answer

Q: Find the quadratic equations whose roots are the reciprocals of the roots of 2x2+5x+3? 2155 0

  • 1
    3x2+5x+2=0
    Correct
    Wrong
  • 2
    5x2+3x+2=0
    Correct
    Wrong
  • 3
    3x2-5x-2=0
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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 0

  • 1
    36 & 90
    Correct
    Wrong
  • 2
    90 & 41
    Correct
    Wrong
  • 3
    45 & 36
    Correct
    Wrong
  • 4
    41 & 36
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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 0

  • Show AnswerHide Answer
  • Workspace

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 0

  • 1
    Algebra
    Correct
    Wrong
  • 2
    Calculus
    Correct
    Wrong
  • 3
    Geometry
    Correct
    Wrong
  • 4
    Statistics
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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 0

  • 1
    Son-in-law
    Correct
    Wrong
  • 2
    Uncle
    Correct
    Wrong
  • 3
    Son
    Correct
    Wrong
  • 4
    Father
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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 0

  • Show AnswerHide Answer
  • Workspace

Answer :
Explanation :

A Coin has a Head and tail but no body. Since the two sides of coin are called as heads and tails.

  • Show AnswerHide Answer
  • Workspace

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 0

  • 1
    copper
    Correct
    Wrong
  • 2
    silver
    Correct
    Wrong
  • 3
    iron
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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.

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully