Mathematics - Online Test

Q1. Let A be any  matrix, then  can be found only when
Answer : Option B
Explaination / Solution:

The product of any matrix with itself can be found only when it is a square matrix.i.e. m=n.

Q2. up to 2k + 1 terms , for all k belongs to natural numbers N .
Answer : Option B
Explaination / Solution:



Q3. If A and B are two sets , then A∩(A∪B) is equal to
Answer : Option A
Explaination / Solution:

LetA={1,2,3,4}andB={1,2,3,4,5,6}HereA∪B={1,2,3,4,5,6}NowA∩(A∪B)={1,2,3,4,}=A

Q4. The term independent of x in the expansion of   is
Answer : Option B
Explaination / Solution:



Q5. The area bounded by the curve and y – axis is equal to
Answer : Option B
Explaination / Solution:

Required area :

=sq.units


Q6. The longest side of a triangle is three times the shortest side and the third side is 2cm shorter than the longest side if the perimeter of the triangles at least 61cm, find the minimum length of the shortest side.
Answer : Option D
Explaination / Solution:

Let the shortest side of a triangle be x cm.Then the length of the longest side is3x cm and the length of the third side is (3x-2) cm.

Given the perimeter of the triangles at least 61cm


Hence the minimum length of the shortest side = 9 cm


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



Q8.   evaluated anticlockwise around the circle |z - i| = 2, where i = √-1, is
Answer : Option A
Explaination / Solution:
No Explaination.


Q9. In a LPP, the objective function is always
Answer : Option B
Explaination / Solution:

In a LPP, the objective function is always linear. this is because these problems are always subjected to linear inequalities, where we maximise or minimise the linear functions.

Q10. If a, b , c are in A.P. and also  are in A. P., then
Answer : Option B
Explaination / Solution: