Mathematics - Online Test

Q1. If A and B are two sets, then {tex}A \cap (A \cup B)'{/tex} is equal to
Answer : Option C
Explaination / Solution:

{tex}A \cap (A \cup B)' = \phi {/tex} since {tex}(A \cup B)'{/tex} Set represent the element which are not belongs to it,so there is no common element with the set A.So the answer is null set
Q2. The complex numbers z = x + iy which satisfy the equation  lie on
Answer : Option D
Explaination / Solution:



Q3. Let A =  , then Det. A is
Answer : Option B
Explaination / Solution:


   ( since C1 and C2 are identical)

Q4.

If n is a rational number, which is not a whole number, then the number of terms in the expansion of  is


Answer : Option C
Explaination / Solution:



Q5. Identify the solution set for –( x – 3 ) < 5 – 2x
Answer : Option D
Explaination / Solution:



Q6. A linear programming problem is one that is concerned with
Answer : Option D
Explaination / Solution:

A linear programming problem is one that is concerned with finding the optimal value (maximum or minimum) of a linear function of several variables .

Q7.  is equal to
Answer : Option B
Explaination / Solution:



Q8. The next term of the sequence 1, 2, 4, 7,11,…. Is
Answer : Option B
Explaination / Solution:

here, 

where n = 1,2,3,....

so, for 6th term n = 6

 


Q9. A batsman scores runs in 10 innings as 38,70,48,34,42,55,63,46,54 and 44 , then the mean score is
Answer : Option D
Explaination / Solution:

Mean (x) = 

               = 494/10

               = 49.4


Q10. The point which divides the joint of ( 1, 2 ) and ( 3,4 ) externally in the ratio 1 : 1 .
Answer : Option B
Explaination / Solution:

The point which divides the line in the ratio m:n externally is given by x =

Substituting the values we get,

x =  which is undefined.