CBSE 11TH MATHEMATICS - Online Test
Q1. If A , B and C are non – empty sets , then ( A – B ) ∪( B – A ) equals :
Answer : Option A
Explaination / Solution:
Q3. The sum of first eight terms of a G.P. is 82 times the sum of first four terms. The common ratio of the G.P. is
Answer : Option A
Explaination / Solution:
Q4. In a group of students, mean weight of boys is 80 kg and mean weight of girls is 50kg.If the mean weight of all the students taken together is 60kg, then the ratio of the number of boys to that of the girls is
Answer : Option A
Explaination / Solution:
let the no. of boys be x and no. of girls be y
sum of weights of boys= 80x
sum of weights of girls = 50y
sum of weights of boys and girls together = 60(x + y)
hence, 80x + 50 y = 60x + 60y
which gives, 20x = 10 y
so, x:y = 1:2
Q5. The negation of the compound statement p∨(∼p∨q) is
Answer : Option A
Explaination / Solution:
∼(p∨(∼p∨q))≡∼p∧(p∧∼q) Applying De morgan's law
Q6. The domain of the function is
Answer : Option D
Explaination / Solution:
This function exists only if
cosx−1≥0
⇒cosx≥1
⇒cosx>1
OR
cosx=1
since maximum value of cosine function is 1 so, cos x >1 is not possible
Q7.
If sin 2 = cos 3 , then is equal to
Answer : Option D
Explaination / Solution:
No Explaination.
Q8. If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A fails or B fails is
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. In a three dimensional space, the equation 3x – 4y = 0 represents
Answer : Option D
Explaination / Solution:
No Explaination.
Q10. For a normal distribution, we have
Answer : Option D
Explaination / Solution:
As in normal distribution, the curve is symmetric and unimodal. So, mean is at peak, mode is also at peak and median as well.
