Mathematics - Online Test
Q1.
What is the solution set for
Answer : Option B
Explaination / Solution:
Multiplying throughout by 2,we get
So solution set is ( - 6 , 0 )
Q2. is equal to
Answer : Option A
Explaination / Solution:
Q3. Let R be the feasible region (convex polygon) for a linear programming problem and let Z = ax + by be the objective function. When Z has an optimal value (maximum or minimum), where the variables x and y are subject to constraints described by linear inequalities,
Answer : Option D
Explaination / Solution:
Let R be the feasible region (convex polygon) for a linear programming problem and let Z = ax + by be the objective function. When Z has an optimal value (maximum or minimum), where the variables x and y are subject to constraints described by linear inequalities then , optimal value must occur at a corner point (vertex) of the feasible region.
Q4. If a, 4, b are in A.P.; a, 2, b are in G.P.; then a, 1, b are in
Answer : Option D
Explaination / Solution:
As a,4,b are in AP so, ................(i)
Also a,2,b are in GP so, ab = 4...................(ii)
from (i) and (ii)
hence a, 1 , b are in HP
Q5. The mean of 5 observations is 4.4. If three observations are 1,2 and 6 and the difference of the other two is 5, then the other two observations are:
Answer : Option B
Explaination / Solution:
Let other two numbers be x and y
Mean (x) = 4.4 =
this gives ......(1)
Also, ........(2)
Therefore from (1) and (2)
x = 9 and y = 4
Q6. Let A = {a, b, c} and R = {(a, a), (b, b), (c, c), (b, c) } be a relation on A. Here, R is
Answer : Option D
Explaination / Solution:
Any relation R is reflexive if x R x for all x ∈ R. Here ,(a, a), (b, b), (c, c)∈ R. Therefore , R is reflexive.
Q7. The equation represents all lines through the point except the line
Answer : Option D
Explaination / Solution:
The vertical lines which are parallel to Y axis has undefined slopes. Hence the slope of the line 'm' will be undefined.
Therefore the above equation of the line will represent all lines through () except the line parallel to Y- axis
Q8. Let p and q be two prepositions given by p : I take medicine, q : I can sleep then ,the compound statement ∼p→q means
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. dx is equal to
Answer : Option D
Explaination / Solution:
Q10. Zero Vector
Answer : Option C
Explaination / Solution:
A vector whose initial and terminal points coincides is called Zero Vector. The magnitude of Zero Vector is also Zero.
