Mathematics - Online Test
Q1. Let p and q be two propositions. Then the implication ∼(p↔q) is :
Answer : Option D
Explaination / Solution:
∼(p↔q)≡(p∧∼q)∨(q∧∼p)
Q2. The area bounded by the parabolas y= is equal to
Answer : Option A
Explaination / Solution:
Q3. 
Answer : Option C
Explaination / Solution:
Q4. is equal to
Answer : Option D
Explaination / Solution:
Q5.
The number of solutions of the equation
Answer : Option C
Explaination / Solution:
As no value of x in ( 0, 1) can satisfy the given equation.Thus, the given equation has only one solution.
Q6. The eccentricity of the hyperbola is
Answer : Option C
Explaination / Solution:
above equation can be written as,
comparing it with the standard equation we get a=3 and b=3
as c=
we get c= 3
and as e =
we get e =
Q7. Which of the following statements is incorrect ?
Answer : Option B
Explaination / Solution:
which is not possible since is a periodic function whose value oscillates between -1 and 1
Q8.
The statement is true for all
Answer : Option A
Explaination / Solution:
When n = 1 8<3, is not true. When n = 2 16<9, is false. When n = 3 32<27, is not valid. But when n = 4 64<81, is true.
Q9. 8 coins are tossed at a time. The probability of getting atleast 6 heads up is
Answer : Option D
Explaination / Solution:
No Explaination.
Q10. Three planes x + y = 0 , y + z = 0 , and x + z = 0
Answer : Option B
Explaination / Solution:
Explanation:
x + y = 0 (1)
y + z = 0 (2)
x + z = 0 (3)
Subtracting 1 and 2 we get x-z=0 (4)
adding 3 and 4 we get x-0,y=0 and z=0
