Mathematics - Online Test
Q1. Three fair dice are tossed once. The probability that they show the same numbers is
Answer : Option A
Explaination / Solution:
When three dice are rolled, total number of outcomes =n(S)=n=63 =216
It is given that the numbers on all the three dice are identical
Hence the favourable outcomes are (1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6)
Hence no. of favourable outcomes=m=6
Hence required probability=
Q2. In the set W of whole numbers an equivalence relation R defined as follow : aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given by
Answer : Option C
Explaination / Solution:
No Explaination.
Q3. A cubical dice has 3 on three faces , 2 on two faces and 1 on the 6 face .It is tossed twice . The chance that both the tosses show an even number is
Answer : Option D
Explaination / Solution:
No Explaination.
Q4.
If f (x) then equals
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. 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
Q6.
If and then contains
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. 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.
Q8.
If f(x) = then f (y) =
Answer : Option B
Explaination / Solution:
No Explaination.
Q9. 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.
Q10. The function f (x) = log satisfies the equation
Answer : Option D
Explaination / Solution:
No Explaination.
