Mathematics - Online Test
Q1. The instantaneous rate of change at t = 1 for the function f (t) = is
Answer : Option C
Explaination / Solution:
⇒f′(1)=−e−1+e−1=0
Q2. 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
Q3. The complex numbers z = x + iy which satisfy the equation lie on
Answer : Option D
Explaination / Solution:
Q4. Let A = 
, then Det. A is
, then Det. A is
Answer : Option B
Explaination / Solution:
( since C1 and C2 are identical)
( since C1 and C2 are identical)
Q5.
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:
Q6. Identify the solution set for –( x – 3 ) < 5 – 2x
Answer : Option D
Explaination / Solution:
Q7. 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 .
Q8. is equal to
Answer : Option B
Explaination / Solution:
Q9. 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
Q10. 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
