Mathematics - Online Test
Q1. If where then A is equal to
Answer : Option A
Explaination / Solution:
If where then
Q2. The equation | 4z − 1 | = 4 | z − 5 | represents :
Answer : Option B
Explaination / Solution:
Squaring on both sides we get
We have x= a constant is a straight line parallel to Y-axis.
Q3. Coefficient of in the expansion of is
Answer : Option C
Explaination / Solution:
Q4. If A = { 1,2,3 } , and B = { 1,3,5,7 } , then A∪B=
Answer : Option B
Explaination / Solution:
Q5. The function f (x) = a x + b is strict increasing for all x∈Riff
Answer : Option C
Explaination / Solution:
Since f ‘ (x ) = a , therefore , f ( x ) is strict increasing on R iff a >0
Q6. The area common to the circle and the parabola = 6ax is
Answer : Option C
Explaination / Solution:
Q7. {4,5,6} is the solution set of
Answer : Option D
Explaination / Solution:
Hence solution set of the system is
Q8. is equal to
Answer : Option A
Explaination / Solution:
Q9. Maximise Z = 3x + 4y subject to the constraints: x + y ≤ 4, x ≥ 0, y ≥ 0.
Answer : Option A
Explaination / Solution:
Objective function is Z = 3x + 4 y ……(1).
The given constraints are : x + y ≤ 4, x ≥ 0, y ≥ 0.
The corner points obtained by constructing the line x+ y= 4, are (0,0),(0,4) and (4,0).
Corner points | Z = 3x +4y |
O ( 0 ,0 ) | Z = 3(0)+4(0) = 0 |
A ( 4 , 0 ) | Z = 3(4) + 4 (0) = 12 |
B ( 0 , 4 ) | Z = 3(0) + 4 ( 4) = 16 …( Max. ) |
therefore Z = 16 is maximum at ( 0 , 4 ) .
Q10. Sum of all 2 digit odd numbers is
Answer : Option D
Explaination / Solution:
