Business Mathematics

261. For which value of c are the lines parallel 2x – y=10
-cx + 2y =5

  1. c =2
  2. c=3
  3. c=1
  4. c=4
Correct answer: (D)
c=4

262. A set consisting of a definite number of elements is called a

  1. Null set
  2. Singleton set
  3. Infinite set
  4. Finite set
Correct answer: (D)
Finite set

263. In a club, all the members are free to vote for one, two, or three of the candidates. 20 % of the members did not vote, 38 % of the total members voted for at least 2 candidates. What % of the members voted for either 1 or 3 candidates, If 10 % of the total members voted for all 3 candidates?

  1. 40 %
  2. None of these
  3. 44 %
  4. 36 %
Correct answer: (B)
None of these

264. The range of the function f(X) = x / |x| is

  1. R - {0}
  2. R – {-1, 1}
  3. {-1, 1}
  4. None of these
Correct answer: (C)
{-1, 1}

265. If f(x) = - then the value of 2(f(x))- 5f(x-1) + 2f(x-2) is

  1. 1
  2. -3
  3. 15
  4. None of these
Correct answer: (D)
None of these

266. f(x) = |x|+ |y| g(x) = max (x + y) (x – y) h(x) = min (x + y, x – y)
(i) g(x) f(x)
(ii) g(x) + h(x) f(x)
(iii) g(x) > f(x).
Which of the following are not necessarily true?

  1. i and ii
  2. i and iii
  3. ii and iii
  4. i, ii and iii
Correct answer: (D)
i, ii and iii

267. Solve f(x) = √9-x2 the range is

  1. {x: 3< x <0}
  2. {x: 0≤ x ≤ 3}
  3. {x: 0< x < 3}
  4. {x: 3≤ x ≤ 0}
Correct answer: (B)
{x: 0≤ x ≤ 3}

268. If R is the relation “is greater than” from A ={1,2,3,4,5}to B={1,3,4} , Than R-1 is

  1. {(1,2) ,(1,3),(1,4),(1,5)}
  2. {(3,4),(4,5),(3,5)}
  3. {(1,2), (1,3), (1,4), (3,4), (1,5), (3,5), (4,5)}
  4. {(2,1), (3,1), (4,1),(4,3), (5,1), (5,3), (5,4)}
Correct answer: (C)
{(1,2), (1,3), (1,4), (3,4), (1,5), (3,5), (4,5)}

269. Find the sum of the series 2+5+8+ … +182

  1. 5520
  2. 5612
  3. 5623
  4. 5418
Correct answer: (B)
5612

270. If x and y vary inversely as each other, x = 10 when y = 6. Find y when x=15.

  1. 25
  2. 4
  3. 90
  4. 60
Correct answer: (B)
4
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