Mathematics - Online Test
Q1. If A and B are square matrices of order 3 , then
Answer : Option C
Explaination / Solution:
If A B be two square matrices of order 3 and if |B|=0, AB=0 then this is possible only if |A| may be zero
Q2. The largest term in the expansion of when is
Answer : Option B
Explaination / Solution:
Q3. Identify the solution set for
Answer : Option D
Explaination / Solution:
Q4. is equal to
Answer : Option C
Explaination / Solution:
Q5. In linear programming, optimal solution
Answer : Option D
Explaination / Solution:
In linear programming, any point in the feasible region which gives that gives the optimal value (maximum or minimum) of the objective function is called optimal solution. In other words, it satisfies all the constraints as well as the objective function .
Q6. All the terms in A.P., whose first term is a and common difference d are squared. A different series is thus formed. This series is a
Answer : Option B
Explaination / Solution:
the series obtained will not follow rules of AP, GP and HP
Q7. The two lines of regression are x + 4y = 3 and 3x +y = 15 . value of x for y = 3 is
Answer : Option D
Explaination / Solution:
we have x + 4y = 3 and 3x + y = 15 as the lines of regression of y on x and x on y respectively.
therfore, for y = 3 the required line is x on y
so put y= 3 in 3x + y = 15
we get, x = 4
Q8. Which of the following is not an equivalence relation on I, the set of integers ; x, y
Answer : Option B
Explaination / Solution:
f R is a relation defined by xRy:ifx⩽y, then R is reflexive and transitive .But , it is not symmetric. Hence , R is not an equivalence relation.
Q9. Projection (the foot of perpendicular) from ( x , y ) on the x – axis is
Answer : Option D
Explaination / Solution:
Let L be the foot of the perpendicular from the X axis. Therefore its y coocrdinate is zero
Therefore the coordiantes of the point L is (x,0)
Q10. Let p and q be two prepositions given by p : I take only bread and butter in breakfast. q : I do not take anything in breakfast. Then , the compound proposition “ I take only bread and butter in breakfast or I do not take anything “ is represented by
Answer : Option D
Explaination / Solution:
and is replaced by ∧
or is replaced by ∨
