CBSE 11TH MATHEMATICS - Online Test

Q1. For all is divisible by :
Answer : Option C
Explaination / Solution:

Replace n = 1 we get 209 which is divisible by 11.

Q2. A pair of dice is tossed once and a total of 8 has come up. The chance that both the dice show up same number is
Answer : Option C
Explaination / Solution:

on tossing a pair of  dice total outcomes are 36

out of which getting a total of 8 have possiblities {(2,6),(6,2),(3,5),(5,3),(4,4)}=5

and from these 5 outcomes getting same no. on both dice is (4,4)=1

so, probability is 1/5


Q3. Volume of a tetrahedron is k X area of one face X length of perpendicular from the opposite vertex upon it, where k is
Answer : Option D
Explaination / Solution:

Volume of tetrahedron  where a,b,c are co-terminus edges of tetrahedron.a X b is area of one face and c is the perpendicular from the opposite vertex

Q4. Different calendars for the month of February are made so as to serve for all the coming years. The number of such calendars is
Answer : Option C
Explaination / Solution:

The month of February  has either 28 days (non-Leap Year)  or 29 days(Leap Year).

Thus there are 2 possibility  for the number of days in February.

Also the first day of the month of February can be any of the 7 days in a week.

So total number of February calendars = 2 * 7 =14


Q5.

If α is a complex a number such that  then  is


Answer : Option C
Explaination / Solution:



Q6.  is
Answer : Option D
Explaination / Solution:



Q7. Which set is the subset of all given sets ?
Answer : Option A
Explaination / Solution:

{ } denoted as null set. and Null set is subset of all sets.

Q8.  is equal to
Answer : Option B
Explaination / Solution:



Q9. Solve the system of inequalitie: 
Answer : Option D
Explaination / Solution:



Q10. The next term of the sequence 1, 5, 14, 30, 55, …… is
Answer : Option C
Explaination / Solution: