CBSE 11TH MATHEMATICS - Online Test

Answer : Option A
Explaination / Solution:

BY the process of mathematical induction , the given statement is true for all natural numbers n.

Answer : Option A
Explaination / Solution:

TOTAL NO. OF OUTCOMES=62=36

no. of outcomes in which both throws same no.={(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}=6

p(both throws same no.)=6/36=1/6

Answer : Option A
Explaination / Solution:
No Explaination.

Answer : Option C
Explaination / Solution:

Since a student can solve every question in three ways- either he can attempt the first alternative , or the second alternative  or he does not attemp that question 

Hence the total ways in which a sudent can attempt one or more of  8 questions =38

Therefore  to find the number of all selections which a student can make for answering one or more questions ou tof 8 given questions =38−1=6560   [ we will have to exclude  only the case of not answering all the 8 questions]

Answer : Option B
Explaination / Solution:

Answer : Option C
Explaination / Solution:

Answer : Option D
Explaination / Solution:

in any set having n elements then Total no of subsets=2n

so total subset = 25=32

Answer : Option D
Explaination / Solution:

Answer : Option D
Explaination / Solution:

Answer : Option D
Explaination / Solution: