Mathematics - Online Test

Q1. The function  is
Answer : Option B
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Q2. The value of   is
Answer : Option C
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Q3. Vector has
Answer : Option C
Explaination / Solution:

A vector has both magnitude as well as direction.

Q4. 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:



Q5.
The value of 
 
is

Answer : Option D
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Q6. If A = {(x, y) : y = ex, xR} and B = {(x, y) : y = e-x, x R} then n(A B) is
Answer : Option C
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Q7.
Answer : Option B
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Q8.  is equal to
Answer : Option C
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Q9. 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).

Q10. 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