Mathematics - Online Test
Q1. A coin is tossed once. If a head comes up , then it is tossed again and if a tail comes up , a dice is thrown . The number of points in the sample space of experiment is
Answer : Option B
Explaination / Solution:
Sample Space is
S = { HH, HT, T1, T2, T3, T4, T5, T6 }
so number of outcomes in sample space is 8
Q2.
If and then contains
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. The residue of the function 
at z = 2 is
at z = 2 is
Answer : Option A
Explaination / Solution:
Q4. A and B take turn in throwing a pair of dice. A wins if he throws a total of 5 before B throws a total of 7. If A has the first throw, the probability of his winning the game is
Answer : Option B
Explaination / Solution:
No Explaination.
Q5.
If f(x) = then f (y) =
Answer : Option B
Explaination / Solution:
No Explaination.
Q6.
Consider the matrix 
The value of eP is
The value of eP is
Answer : Option D
Explaination / Solution:
Q7. A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the value of the determinant chosen is positive is
Answer : Option D
Explaination / Solution:
No Explaination.
Q8. The function f (x) = log satisfies the equation
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. In the Taylor series expansion of exp(x) + sin(x) about the point x = π, the coefficient of (x-π)2 is
Answer : Option B
Explaination / Solution:
Q10. If the letters of the word ‘ INDEPENDENCE ‘ are written down at random in a row , then the chance that no two E’s occur together is
Answer : Option A
Explaination / Solution:
No Explaination.
