Mathematics - Online Test
Q1. The complex number z which satisfies lies on
Answer : Option C
Explaination / Solution:
which is the X-axis.
Q2. Differential equation of the family of parabolas having vertex at origin and axis along positive y-axis is
Answer : Option B
Explaination / Solution:
Q3. The 1st three terms in the expansion of are
Answer : Option A
Explaination / Solution:
Q4. A-B is equal to
Answer : Option A
Explaination / Solution:
Q5. x 2 is
Answer : Option A
Explaination / Solution:
function is continuous at x=0 but discontinuous at x=1
Q6. A farmer mixes two brands P and Q of cattle feed. Brand P, costing Rs 250 per bag, contains 3 units of nutritional element A, 2.5 units of element B and 2 units of element C. Brand Q costing Rs 200 per bag contains 1.5 units of nutritional element A, 11.25 units of element B, and 3 units of element C. The minimum requirements of nutrients A, B and C are 18 units, 45 units and 24 units respectively. Determine the number of bags of each brand which should be mixed in order to produce a mixture having a minimum cost per bag? What is the minimum cost of the mixture per bag?
Answer : Option D
Explaination / Solution:
Let number of bags of cattle feed of brand P = x
And number of bags of cattle feed of brand Q = y
Therefore , the above L.P.P. is given as :
Minimise , Z = 250x +200y , subject to the constraints : 3 x + 1.5y ≥ 80, 2.5x + 11.25y ≥ 45, 2x + 3y ≥ 24 , x,y ≥ 0.,
Corner points | Z =250x +200 y |
C(0 , 12 ) | 2400
|
B (18,0) | 4500 |
D(3,6 ) | 1950…………………(Min.) |
A(9,2) | 2650 |
Here Z = 1950 is minimum.
i.e. 3 bags of brand P and 6 bags of brand Q; Minimum cost of the mixture = Rs 1950 .
Q7. If x belongs to set of integers , A is the solution set of and B is the solution set of , find A
Answer : Option D
Explaination / Solution:
Q8. The product of first n odd terms of a G.P. whose middle term is m is
Answer : Option C
Explaination / Solution:
Q9. The range of the following set of observations 2,3,5,9,8,7,6,5,7,4,3 is
Answer : Option A
Explaination / Solution:
range= 9- 2 = 7
Q10. The minimum value of f(x) =sin x cos x is
Answer : Option B
Explaination / Solution:
