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MCQs

Total Questions : 69 | Page 2 of 7 pages
Question 11. Let f(x) and xf(x) be the particular solutions of a differential equation y'' + R(x)y' + S(x)y = 0. Then the solution of the differential equation y'' + R(x)y' + S(x)y = f(x) is
  1.    y = [-x2/2 + αx + β] f(x)
  2.    y = [x2/2 + αx + β] f(x)
  3.    y = [-x2 + αx + β] f(x)
  4.    y = [x3 + αx + β] f(x)
 Discuss Question
Answer: Option B. -> y = [x2/2 + αx + β] f(x)


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Question 12. The maximum value of the function f (x, y, z) = xyz subject to the constraint xy + yz + zx - a = 0,a > 0 is
  1.    a3/2
  2.    (a/3)3/2
  3.    (3/a)3/2
  4.    (3a/2)3/2
 Discuss Question
Answer: Option B. -> (a/3)3/2


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Question 13. A number is as much greater than 75 as it is smaller than 117. The number is:
  1.    91
  2.    93
  3.    89
  4.    96
 Discuss Question
Answer: Option D. -> 96


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Question 14. Friendship, no matter how _________it is, has its limitations.
  1.    cordial
  2.    intimate
  3.    secret
  4.    pleasant
 Discuss Question
Answer: Option B. -> intimate


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Question 15. Which of the following options is the closest in meaning to the word given below: Primeval
  1.    Modern
  2.    Historic
  3.    Primitive
  4.    Antique
 Discuss Question
Answer: Option C. -> Primitive


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Question 16. The professor ordered to the students to go out of the class.             I                   II                         III                              IV Which of the above underlined parts of the sentence is grammatically incorrect?
  1.    I
  2.    II
  3.    III
  4.    IV
 Discuss Question
Answer: Option B. -> II


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Question 17. Select the pair that best expresses a relationship similar to that expressed in the pair: Medicine: Health
  1.    Science: Experiment
  2.    Wealth: Peace
  3.    Education: Knowledge
  4.    Money: Happiness
 Discuss Question
Answer: Option C. -> Education: Knowledge


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Question 18. X and Y are two positive real numbers such that 2X + Y ≤ 6 and X + 2Y ≤ 8. For which of the following values of (X, Y) the function f(X, Y)= 3X + 6Y will give maximum value?
  1.    (4/3, 10/3)
  2.    (8/3, 20/3)
  3.    (8/3, 10/3)
  4.    (4/3, 20/3)
 Discuss Question
Answer: Option A. -> (4/3, 10/3)


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Question 19. Abhishek is elder to Savar. Savar is younger to Anshul. Which of the given conclusions is logically valid and is inferred from the above statements?
  1.    Abhishek is elder to Anshul
  2.    Anshul is elder to Abhishek
  3.    Abhishek and Anshul are of the same age
  4.    No conclusion follows
 Discuss Question
Answer: Option D. -> No conclusion follows


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Question 20. A firm is selling its product at Rs. 60 per unit. The total cost of production is Rs. 100 and firm is earning total profit of Rs. 500. Later, the total cost increased by 30%. By what percentage the price should be increased to maintained the same profit level.
  1.    5
  2.    10
  3.    15
  4.    30
 Discuss Question
Answer: Option A. -> 5


-NA-


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