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
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
A square matrix A is an orthogonal matrix x, if __________
1.AA-1=I.
2.AA-1=I.
3.A=A-1.
4.A=A-1.
A _______ is an endeavour to create a unique product service.
1.Project.
2.Network.
3.Activity.
4.Node.
C.I. stands for _____
1.Compound Interest
2.Simple Interest
3.Rate Of Interest
4.No.of.years.
Evaluate f(1) + f(2) + f(3) + … + f(25)
1.-26
2.None of these
3.-24
4.-22
Formula for Bankers gain is ________
1.Anr/100.
2.An2r2/100(100+nr).
3.100A/100+nr.
4.Anr/100+nr.
Generally the PERT technique deals with the project of _______
1.Repetatative nature.
2.Non-repetative nature.
3.Determinstic nature.
4.None of the above.
If a = 1 + i , then a2 equals
1.1 - i
2.2i
3.(1 + i)(1 - i)
4.i - 1
If A = {1, 2, 3, 4, 5}, then the number of proper subsets of A is1.120
2.30
3.31
4.32
If all the elements of a matrix are zeros, then the matrix is a ______
1.unit matrix.
2.square matrix.
3.zero matrix.
4.None of these.
If an activity has a zero slack, it implies that
1.It lies on the critical path
2.It is a dummy activity
3.Both a & b
4.None of the above
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
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)
If log 27 = 1.431, then the value of log 9 is:
1.0.934
2.0.958
3.0.945
4.0.954
If there is only one column in a matrix, it is called ________
1.Row matrix .
2.column matrix.
3.square matrix.
4.rectangular matrix.
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
In assignment problem if number of rows is greater than column then _______
1.dummy column is added.
2.dummy row added.
3.row with cost 1 is added.
4.column with cost 1 is added.
In calculation of interest 'n' stands for
1.Rate of interset
2.Amount
3.Principal
4.No.of.years
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.
In North West corner rule if the supply in the row is satisfied one must move ______
1.down in the next row.
2.up in the next row.
3.right cell in the next column.
4.left cell in the next row.
In North West corner rule the allocation is done in _____
1.upper right corner.
2.middle cell in the transportation table.
3.cell with the lowest cost.
4.Upper left corner.
In the canonical form of LPP if the objective function is of minimization then all the constraints other than non-negativity conditions are _____
1.greater than type.
2.lesser than type.
3.greater than or equal to type
4.lesser than or equal to type.
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.
In transportation problem the solution is said to degenerate solution if occupied cells is
1.greater than m+n-1.
2.lesser than m+n-1.
3.greater than or equal to m+n-1.
4.lesser than or equal to m+n-1.
In transportation problem the solution is said to non-degenerate solution if occupied cells is _______
1.greater than m+n-1.
2.lesser than m+n-1.
3.greater than or equal to m+n-1.
4.lesser than or equal to m+n-1.
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
Let R= {(x,y) :x, y belong to N, 2x+y =41}. The range is of the relation R is1.{(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}
Linear programming is _________
1.a constraint optimization model.
2.a constraint decision making model.
3.a mathematical programming model.
4.All the above.
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.
Principal (or) Present Value is denoted by
1.A
2.n
3.P
4.None of the above.
The acitivity that can be delayed without affecting the execution of the immediate suceeding activity is determined by _______
1.Total float.
2.Independent float.
3.Free float.
4.None of the above.
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].
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.
The assignment problem is said to be unbalanced if ______
1.number of rows is greater than number of columns.
2.number of rows is lesser than number of columns.
3.number of rows is equal to number of columns.
4.both 1 and 2.
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.
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.
The non-negative variable which is added to LHS of the constraint to convert the inequality > into equation is called ______
1.random variable.
2.decision variable.
3.surplus variable.
4.slack variable.
The objective of network analysis is to _____
1.Minimize total project duration.
2.Minimize total project cost.
3.Minimize product delays,interruption and conflicts
4.All the above.
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].
The range of the real function f defined by f (x) = √(x -1) =
1.(1,∞)
2.(0,1)
3.[0,∞)
4.(∞,0]
The simple interest for Rs 10000 for 2 years at 10& is ____
1.200.
2.3000.
3.4000.
4.2000.
The simple interest on Rs 5,000 at 10& for 3 years is _________
1.500.
2.1000.
3.1500.
4.2000.
The transportation technique or simplex method cannot be used to solve the assignment problem because of _________
1.degeneracy.
2.non-degeneracy.
3.square matrix.
4.any one of the above.
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
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.
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.
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.
Which of the following is not associated with any LPP?
1.Feasible Solution.
2.Optimum Solution.
3.Basic solution.
4.Quadratic equation.
{ (a, b): a2 +b2 = 1} on the set S has the following relation1.symmetric
2.reflexive and transitive
3.none
4.reflexive