Mathematics - Online Test
Q1.
The function f (x) = strictly increases on
Answer : Option A
Explaination / Solution:
Here ,
i.e. if x(x – 2 )<0 i.e. if 0 < x < 2. Hence f is strictly increasing on [0,2]
i.e. if x(x – 2 )<0 i.e. if 0 < x < 2. Hence f is strictly increasing on [0,2]
Q2. Two sets A and B are said to be disjoint iff
Answer : Option D
Explaination / Solution:
Two sets are called disjoint if and only if these two set have no common element i.e A∩B=∅
Q3. z + if and only if
Answer : Option A
Explaination / Solution:
Let Z=x+iy then we have
So
Now z +
Q4. 
Answer : Option B
Explaination / Solution:
Q5. 
The numerical value of 
is
Consider the differential equation
The numerical value of is
Answer : Option D
Explaination / Solution:
Q6. If 2nd, 3rd and 4th terms in the expansion of are 240, 720 and 1080 respectively, then the value of n is
Answer : Option A
Explaination / Solution:
Q7. In the first three papers each of 100 marks , Rishi got 95 , 72 , 83 marks . If he wants an average of greater than or equal to 75 marks and less than 80 marks, find the range of marks he should score in the 4th paper .
Answer : Option D
Explaination / Solution:
et the marks scored by Rishi in the fourth paper be x.
Then
Multipling the inequality throughout by 4 ,we get
Q8. is equal to
Answer : Option D
Explaination / Solution:
Q9. In Corner point method for solving a linear programming problem the second step after finding the feasible region of the linear programming problem and determining its corner points is
Answer : Option C
Explaination / Solution:
In Corner point method for solving a linear programming problem the second step after finding the feasible region of the linear programming problem and determining its corner points is : To evaluate the objective function Z = ax + by at each corner point.
Q10.
For what value of b, will the roots of the equation cos x = b, when arranged in ascending order of their magnitudes, form an A.P?
Answer : Option D
Explaination / Solution:
