Mathematics - Online Test
Q1. If n is any integer, then is
Answer : Option B
Explaination / Solution:
Now we can see for n=0,4,8....... the value of = 1
For n=1,5,9....... the value of =i
for n=2,6,10....... the value of =-1
for n=3,7,11....... the value of = -i
similarly for all negative integers also n takes any one value among 1 ,-1 , i ,-i
Q2. Coefficient of in the expansion of is
Answer : Option A
Explaination / Solution:
Q3. If A = {x : x ≠ x } represents
Answer : Option A
Explaination / Solution:
here value of x is not possible so A is a null set.
Q4. is equal to
Answer : Option B
Explaination / Solution:
Q5. A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4hours for assembling. The profit is Rs 5 each for type A and Rs 6 each for type B souvenirs. How many souvenirs of each type should the company manufacture in order to maximize the profit?
Answer : Option B
Explaination / Solution:
Let number of souvenirs of type A = x
And number of souvenirs of type B = y
Therefore , the above L.P.P. is given as :
Maximise , Z = 5x +6y , subject to the constraints : 5x +8y ≤ 200 and. 10x +8y ≤ 240 , x, y ≥ 0.
Corner points | Z =5x +6 y |
O( 0 , 0 ) | 0 |
D(0,25 ) | 150 |
A(24,0) | 120 |
B(8,20) | 160…………………(Max.) |
Here Z = 160 is maximum.
i.e. 8 Souvenir of types A and 20 of Souvenir of type B; Maximum profit = Rs 160.
Q6. The solution set for | x | > 7
Answer : Option A
Explaination / Solution:
Q7. The sum of all non-reducible fractions with the denominator 3 lying between the numbers 5 and 8 is
Answer : Option D
Explaination / Solution:
Q8. The slope of the tangent to the curvex = a ( cos θ + θ sin θ),y = a (sin θ – θ cos θ) at any point ‘θ’ is
Answer : Option B
Explaination / Solution:
No Explaination.
Q9. ρ(X,Y) is equal to
Answer : Option D
Explaination / Solution:
=
Q10. The area of bounded by the curve and the coordinate axes is
Answer : Option B
Explaination / Solution:
