Mathematics - Online Test
Q1. In linear programming problems the optimum solution
Answer : Option D
Explaination / Solution:
In linear programming problems the optimum solution satisfies a set of linear inequalities (called linear constraints) .
Q2. The sum of all the two-digit numbers is
Answer : Option C
Explaination / Solution:
Q3. A group of 10 items has mean 6. If the mean of 4 of these items is 7.5, then the mean of the remaining items is
Answer : Option D
Explaination / Solution:
sum of 10 items = 60
sum of 4 items = 30
sum of remaining items = 30
their mean = 30/6=5
Q4. All the values of the multi-valued complex function
1i, where 
Answer : Option B
Explaination / Solution:
Q5. If A = { 1, 2, 3}, then the relation R = {(1, 2), (2, 3), (1, 3)} in A is
Answer : Option D
Explaination / Solution:
A relation R on a non empty set A is said to be transitive if xRy and y Rz⇒xRz, for all x ∈ R. Here , (1, 2) and (2, 3) belongs to R implies that (1, 3) belongs to R.
Q6. 
is equal to
is equal to
Answer : Option B
Explaination / Solution:
Q7. The vertices of a triangle are ( 0 , 3 ) , ( - 3 , 0 ) and ( 3 , 0 ) . The orthocenter of the triangle is
Answer : Option D
Explaination / Solution:
From the given points it is clear that these points form a right angled isosceles triangle.
The orthocentre of all right angle lies on its right angle vertex.
Here the right angle vertex is (0,3)
Hence the orthocentre is (0,3)
Q8. If p→(q∨r) is false , then the truth values of p , q , r are respectively
Answer : Option B
Explaination / Solution:
= F
Q9. dx is equal to
Answer : Option B
Explaination / Solution:
Q10. Unit vectors along the axes OX, OY and OZ are denoted by
Answer : Option D
Explaination / Solution:
represents the unit vectors along the co ordinate axes i.e. OX ,OY and OZ respectively.
represents the unit vectors along the co ordinate axes i.e. OX ,OY and OZ respectively.