Mathematics - Online Test
Q1. The area bounded by the parabola y = + 1 and the straight line x + y = 3 is given by
Answer : Option B
Explaination / Solution:
The two curves parabola and the line meet where,
3 - x = = 0
Required area ;
= =
3 - x = = 0
Required area ;
= =
Q2. Given that x is an integer, find the values of x which satisfy both 2x + 3 > 7 and x + 4 < 10
Answer : Option C
Explaination / Solution:
Since x is an integer the solution set
Since x is an integer the solution set =
Hence the integer values which satisfy both the inequalities are
Q3. is equal to
Answer : Option D
Explaination / Solution:
Q4. In linear programming problems the function whose maxima or minima are to be found is called
Answer : Option A
Explaination / Solution:
In linear programming problems the function whose maxima or minima are to be found is called Objective function . A linear function which has to be maximised or minimised is called as the linear objective function.
Q5. The first, second and last terms of an A.P. are a, b and 2 a. The number of terms in the A.P. is
Answer : Option C
Explaination / Solution:
Q6. The measure of variation which is least affected by extreme items is
Answer : Option C
Explaination / Solution:
as it only depends on upper and lower quartile not on extreme values
Q7. f n ⩾ 2 , then the number of onto mappings or surjections that can be defined from { 1,2,3,4,………..,n} onto {1,2} is
Answer : Option A
Explaination / Solution:
Explanation:
The number of onto functions that can be defined from a finite set A containing n elements onto a finite set B containing 2 elements == .
Q8. The value of determinant 
Answer : Option C
Explaination / Solution:
Q9. Let f (x) = – 4x, then
Answer : Option B
Explaination / Solution:
f (x) = – 4x
f'(x) = 4(x3) - 4 = 4(x 3- 1) = 4 {(x2) + x + 1)} (x-1)
= f ‘(x) > 0,if,(x - 1) > 0,
and f ‘(x) <0, if (x -1 ) < 0.
So,f is decreasing on ( - ,1]
and f is increasing on [1,)
Q10. The acute angle between the lines x – y = 0 and y = 0 is
Answer : Option B
Explaination / Solution:
Slope of the line x - y = 0 is 1. This imlpies the tan = 1 Hence the angle made by the line with X- axis is 450
The angle made by the line y = 0 with the Y axis is 900
Therefore the acute angle between the lines is 450
