Business Mathematics Online MCQ Set 4

QN01. Under simple interest, the interest for n years is ______________.

  1. A=P(1+ni).
  2. A=P(+i).
  3. A=Pnr/100.
  4. A=P(1+i)n.
Answer

(C)

A=P(1+i)n.

QN02. Formula for Bankers gain is ______________.

  1. Anr/100.
  2. An2r2/100(100+nr).
  3. 100A/100+nr.
  4. Anr/100+nr.
Answer

(B)

An2r2/100(100+nr).

QN03. The formula for finding the compound interest is ______________.

  1. A=P(1+ni).
  2. A=P(1+i).
  3. A=Pnr/100.
  4. A=P(1+i)n.
Answer

(B)

A=P(1+i)n.

QN04. The present value under annuity due is ______________.

  1. A/i [1-(1+i)-n].
  2. A+A/i [1-(1+i)-n].
  3. A/i [(1+i)-n-1].
  4. A/i (1+i)[ 1+i)-n-1].
Answer

(C)

A/i (1+i)[ 1+i)-n-1].

QN05. In Graphical solution the feasible region is ______________.

  1. where all the constraints are satisfied simultaneously.
  2. any one constraint is satisfied.
  3. only the first constraint is satisfied.
  4. any one of the above condition.
Answer

(A)where all the constraints are satisfied simultaneously.

QN06. Under simple interest, amount or value at the end is ______________.

  1. A=P+I.
  2. A=P(1+i).
  3. A=Pnr/100.
  4. A=P(1+i)n
Answer

(B)

A=P+I.

QN07. Which of the following is not associated with any LPP?

  1. Feasible Solution.
  2. Optimum Solution.
  3. Basic solution.
  4. Quadratic equation.
Answer

(D)Quadratic equation.

QN08. The Amount due under immediate annuity is ______________.

  1. A/i [1-(1+i)-n].
  2. A+A/i [1-(1+i)-n].
  3. A/i [(1+i)-n-1].
  4. A/i (1+i)[ (1+i)-n-1].
Answer

(A)

A/i (1+i)[ (1+i)-n-1].

QN09. Optimal solution in an LPP is ______________.

  1. which maximizes or minimizes the objective function.
  2. which maximizes the objective function.
  3. which minimizes the objective function.
  4. which satisfies the non negativity restrictions.
Answer

(A)which maximizes or minimizes the objective function.

QN10. Under simple interest, the rate of interest is given by ______________.

  1. R = 100r-(100-nr).
  2. r = 100 I/Pn.
  3. Anr/100.
  4. A=P(1+i)n.
Answer

(D)

r = 100 I/Pn.

QN11. If there is only one column in a matrix, it is called ______________.

  1. Row matrix .
  2. column matrix.
  3. square matrix.
  4. rectangular matrix.
Answer

(B)column matrix.

QN12. C.I. stands for ______________.

  1. Compound Interest
  2. Simple Interest
  3. Rate Of Interest
  4. No.of.years.
Answer

(A)Compound Interest

QN13. In calculation of interest 'n' stands for

  1. Rate of interset
  2. Amount
  3. Principal
  4. No.of.years
Answer

(D)No.of.years

QN14. The amount of time that is expected to complete the activity is called ______________

  1. Latest time.
  2. Earliest time.
  3. Most likely time.
  4. Both a & b.
Answer

(C)Most likely time.

QN15. In Transportation problem optimal solution can be verified by using ______________.

  1. north west corner rule.
  2. least cost method.
  3. MODI method.
  4. matrix method.
Answer

(C)MODI method.

QN16. The necessary and sufficient condition for the existence of a feasible solution to a transportation problem is a solution that satisfies all the conditions of ______________.

  1. supply.
  2. demand.
  3. supply and demand.
  4. either supply or demand.
Answer

(C)supply and demand.

QN17. If A = {1, 2, 3, 4, 5}, then the number of proper subsets of A is

  1. 120
  2. 30
  3. 31
  4. 32
Answer

(C)31

QN18. Two finite sets have n and m elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then the values of m and n are

  1. 6, 4
  2. 7, 6
  3. 6, 3
  4. 7, 4
Answer

(A)6, 4

QN19. If a class with n students is organized into four groups keeping the following conditions
Each student belongs to exactly two groups
Each pair of groups has exactly one student in common, what is the value of n?

  1. n = 11
  2. n = 7
  3. n = 9
  4. None of these
Answer

(D)None of these

QN20. In a recent survey conducted by cable T.V., among the people who watch DD, ZEE and STAR TV., it is found that 80 % of the people watched DD, 22% watched Star TV, and 15 %
o watched Zee. What is the maximum percentage of people, who can watch all the three channels?

  1. 12.5 %
  2. 8.5 %
  3. 15 %
  4. Data insufficient
Answer

(C)15 %

QN21. If f(x) = Log [(1 + x)/(1-x), then f (2x )/(1 + x2) is equal to

  1. 2 f (x)
  2. {f(x)}2
  3. {f(x)}3
  4. 3 f(x)
Answer

(A)2 f (x)

QN22. If f(x) = c.x +1 and g(x)= 3x+2. If f(g(x)) = g(f(x))then what is the value of c?

  1. 1
  2. 2
  3. 3
  4. 4
Answer

(B)2

QN23. Evaluate f(1) + f(2) + f(3) + … + f(25)

  1. -26
  2. None of these
  3. -24
  4. -22
Answer

(B)None of these

QN24. The range of the real function f defined by f (x) = √(x -1) =

  1. (1,∞)
  2. (0,1)
  3. [0,∞)
  4. (∞,0]
Answer

(C)[0,∞)

QN25. { (a, b): a2 +b2 = 1} on the set S has the following relation

  1. symmetric
  2. reflexive and transitive
  3. none
  4. reflexive
Answer

(A)symmetric

QN26. Let R= {(x,y) :x, y belong to N, 2x+y =41}. The range is of the relation R is

  1. {(2n +1):n belongs to N, 1≤n≤20}
  2. {2n: n belongs to N, 1< n< 20}
  3. {(2n-1) : n belongs to N, 1≤n≤20}
  4. { (2n+2) : n belongs to N, 1< n <20}
Answer

(C){(2n-1) : n belongs to N, 1≤n≤20}

QN27. Insert A.M.'s (Arithmetic Mean) between 7 and 71 in such a way that the 5th A.M. is 27. The number of A.M.s are

  1. 12
  2. 17
  3. 15
  4. 51
Answer

(B)17

QN28. A car travels 432 km on 48 litres of petrol. How far will it travel on 20 litres of petrol?

  1. 18
  2. 9
  3. 34
  4. 180
Answer

(D)180

QN29. If log 27 = 1.431, then the value of log 9 is:

  1. 0.934
  2. 0.958
  3. 0.945
  4. 0.954
Answer

(D)0.954

QN30. If a = 1 + i, then a2 equals

  1. 1 - i
  2. 2i
  3. (1 + i)(1 - i)
  4. i - 1
Answer

(B)2i

QN31. If a = cos θ + I sin θ, then (1 + a) / (1 – a) =

  1. cot θ / 2
  2. cot θ
  3. i cot θ / 2
  4. i tan θ / 2
Answer

(C)i cot θ / 2

QN32. The sum of all odd numbers between 100 and 200 is

  1. 7,000
  2. 8,000
  3. 8,500
  4. 7,500
Answer

(D)7,500

QN33. If n arithmetic means are inserted between 1 and 31, such that the ratio of the first mean and the nth mean is 3 : 29, then the value of n is

  1. 10
  2. 12
  3. 13
  4. 14
Answer

(D)14

QN34. If in an infinite G.P., the first term is equal to the sum of all successive terms then its common ratio is

  1. 1 / 10
  2. 1 / 11
  3. 1 / 9
  4. 1 / 20
Answer

(B)1 / 11

QN35. Cube root of 5 x cube root of 7 is

  1. Cube root of 35
  2. Cube root of 12
  3. Cube root of 7 / 5
  4. Cube root of 2
Answer

(A)Cube root of 35

QN36. From 8 gentlemen and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done so as to include at least one lady?

  1. 736
  2. 728
  3. 280
  4. 792
Answer

(A)736

QN37. The greatest possible number of points of intersection of 8 straight lines and 4 circles is

  1. 32
  2. 64
  3. 76
  4. 104
Answer

(C)76

QN38. Find the compound interest for Rs 10000 for 2 years at 5% per annum the interest being compounded annually.

  1. Rs 1000
  2. Rs 1025
  3. Rs 1050
  4. Rs 1100
Answer

(B)Rs 1025

QN39. How many numbers greater than 10 lakhs be formed from 2, 3, 0, 3, 4, 2, 3?

  1. 420
  2. 360
  3. 400
  4. 300
Answer

(B)360

QN40. If Ram has 3 tickets of a lottery for which 10 tickets were sold and 5 prizes are to be given, the probability that he will win at least one prize is

  1. 7/12
  2. 9/12
  3. 1/12
  4. 11/12
Answer

(D)11/12

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