CBSE 11TH MATHEMATICS - Online Test

Q1. The product of three consecutive natural numbers is divisible by
Answer : Option D
Explaination / Solution:

By replacing n by 1 we get 6.

Q2. The letters of the word ‘ MALENKOV ‘are arranged in all possible ways. The chance that there are exactly four letters between M and E is
Answer : Option D
Explaination / Solution:
No Explaination.


Q3. A sphere through three non – collinear points A, B, and C is smallest when its centre is
Answer : Option B
Explaination / Solution:
No Explaination.


Q4. The number of ways, in which a student can select one or more questions out of 12 each having an alternative, is
Answer : Option B
Explaination / Solution:

Since a  student can solve each question in 3 different ways - either   he can attempt the  first alternative ,or the second alternative or he can leave it unanswered.

Hence number of ways in which a student can attempt one or more of the 12 given questions =

Now we can consider a case that the student leave all the 12 given questions unanswered.

The number of ways, in which a student can select one or more questions out of 12 each having an alternative= 

 


Q5. is
Answer : Option B
Explaination / Solution:



Q6. The coefficients of  in the expansion of  , where n is an even integer is
Answer : Option D
Explaination / Solution:



Q7. If a set A has n elements then the total number of subsets of A is
Answer : Option C
Explaination / Solution:

The total no of subsets=2n

Q8.  
Answer : Option D
Explaination / Solution:



Q9.

The solution set of the inequation: 


Answer : Option C
Explaination / Solution:

             [ Multiply the inequality throughout by the  L.C.M]



 ,   but given 

Hence the solution set will be nullset.


Q10. The fourth term of a G. P. is 2, then product of first 7 terms is
Answer : Option B
Explaination / Solution: