Mathematics - Online Test

Q1. In Corner point method for solving a linear programming problem the first step is to
Answer : Option D
Explaination / Solution:

In Corner point method for solving a linear programming problem the first step is : To find the feasible region of the linear programming problem and determine its corner points (vertices) either by inspection or by solving the two equations of the lines intersecting at that point.

Q2. In an A.P., sum of first p terms is q and sum of first q terms is p. Sum of its p + q terms is
Answer : Option D
Explaination / Solution:



Q3. For a moderately skewed distribution, quartile deviation and the standard deviation are related by
Answer : Option D
Explaination / Solution:

its a standard result

Q4. Let A = {1, 2, 3}, then the relation R = {(1, 1), (1, 2), (2, 1)} on A is
Answer : Option C
Explaination / Solution:

A relation R on a non empty set A is said to be symmetric iff xRy⇔yRx, for all x , y ∈R Clearly , (1, 2), and (2, 1) both lies in R. Therefore ,R is symmetric.

Q5. The lines 2x – 3y = 5 and 6x – 9y – 7 = 0 are
Answer : Option C
Explaination / Solution:

The given lines are paraallel lines

Condition for the line to be parallel is  

substituting the values,

 =

Hence they are parallel lines.


Q6. Which of the following is true for the propositions p and q ?
Answer : Option D
Explaination / Solution:

only F∨F≡F Hence ∼F≡T

Q7. is equal to
Answer : Option A
Explaination / Solution:



Q8. Vectors A and B are Collinear
Answer : Option C
Explaination / Solution:

Two vectors A and B are said to be collinear , if they are parallel to the same line irrespective of their magnitudes and directions.

Q9. If E and F are independent, then
Answer : Option A
Explaination / Solution:

If E and F are independent, then P (E|F) = P (E), P (F) ≠ 0 .

Q10.  is equal to
Answer : Option B
Explaination / Solution:

 ==