Mathematics - Online Test
Q1. If then
Answer : Option B
Explaination / Solution:
which is purely real [ imaginary part of z=0]
Q2. If the coefficients of (2r +4)th term and ( r -2)th term in the expansion of be equal then find the value of r
Answer : Option D
Explaination / Solution:
Q3. If A , B and C are any three sets , then A – ( B ∪ C ) is equal to
Answer : Option D
Explaination / Solution:
Q4.
The normal to the curve 2 y = 3 – at (1, 1) is
Answer : Option C
Explaination / Solution:
Q5. is equal to
Answer : Option B
Explaination / Solution:
Q6. Minimize Z = x + 2y subject to x + 2y ≥ 100, 2x – y ≤ 0, 2x + y ≤ 200; x, y ≥ 0.
Answer : Option B
Explaination / Solution:
Objective function is Z = x + 2 y ……………………(1).
The given constraints are : x + 2y ≥ 100, 2x – y ≤ 0, 2x + y ≤ 200; x, y ≥ 0.
The corner points are obtained by drawing the lines x+2y=100, 2x-y=0 and 2x+y=200.
The points so obtained are (0,50),(20,40), (50,100) and (0,200)
Corner points | Z = x + 2y |
D(0 ,50 ) | 100……………..(Min.) |
A(20,40) | 100……………………..(Min.) |
B(50,100) | 250 |
C(0,200) | 400 |
Here , Z = 100 is minimum at ( 0, 50) and ( 20 ,40).
Minimum Z = 100 at all the points on the line segment joining the points (0, 50) and (20, 40).
Q7. Solve the system of inequalities x − 2 > 0 , 3x < 18
Answer : Option C
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Q8. The sum of first n terms of the series 1 – 1 + 1 – 1 + … is
Answer : Option C
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Q9. The area of the smaller segment cut off from the circle by x = 1 is
Answer : Option C
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Q10. The mean of the first n terms of the A.P. (a + d ) + ( a + 3d ) + ( a + 5d ) +………..is
Answer : Option B
Explaination / Solution:
