Mathematics - Online Test
Q1. The point which divides the joint of ( 1, 2 ) and ( 3,4 ) externally in the ratio 1 : 1 .
Answer : Option B
Explaination / Solution:
The point which divides the line in the ratio m:n externally is given by x =
Substituting the values we get,
x = which is undefined.
Q2. Which of the following is a preposition?
Answer : Option A
Explaination / Solution:
It is a false statement other options are open sentences
Q3. The function is
Answer : Option B
Explaination / Solution:
Q4. Vector has
Answer : Option C
Explaination / Solution:
A vector has both magnitude as well as direction.
Q5. A coin is tossed three times, if E : head on third toss , F : heads on first two tosses. Find P(E|F)
Answer : Option B
Explaination / Solution:
Q6.
The value of
is
is
Answer : Option D
Explaination / Solution:
Q7. is equal to
Answer : Option C
Explaination / Solution:
Q8. Let P(n)P be a statement and let P(n)⇒P(n+1) for all natural numbers n , then what will the nature of P(n) ?
Answer : Option D
Explaination / Solution:
Since the statement is conditional statement ( if....then).
Q9. Let be a statement , where n is a natural number , then is true for
Answer : Option C
Explaination / Solution:
Since for example n = 4 will give LHS as 16 and RHS as 4! = 1.2.3.4= 24
Q10. With K as a constant, the possible solution for the first order differential equation 
is
is
Answer : Option A
Explaination / Solution:
