Mathematics - Online Test

Q1. If A = { 2,3,4,8,10 } ,B = { 3,4,5,10,12 } and C = { 4,5,6,12,14 } , then (A∩B)∪(A∩C) then
Answer : Option C
Explaination / Solution:



Q2. The coefficient of y in the expansion of  is
Answer : Option C
Explaination / Solution:



Q3. The area bounded by y = log x , the x – axis and the ordinates x = 1 and x = 2 is
Answer : Option C
Explaination / Solution:

Required area :
 =  = = = 

Q4. Which of the following is correct ?
Answer : Option A
Explaination / Solution:

Given 0  -7

Multiplying throughout by -1,we get0  7  [ When both sides of an inequality are multiplied by a negative number ,then the sign of inequality is reversed]



Q5.  is equal to
Answer : Option B
Explaination / Solution:



Q6. A matrix has eigenvalues –1 and –2. The corresponding eigenvectors are  respectively. The matrix is 
Answer : Option D
Explaination / Solution:
No Explaination.


Q7. The optimal value of the objective function Z = ax + by may or may not exist, if the feasible region for a LPP is
Answer : Option A
Explaination / Solution:

The optimal value of the objective function Z = ax + by may or may not exist, if the feasible region for a LPP is unbounded. This is because the maximum or minimum value of the objective function may not exist.Even if it exists it must occur in a corner pointof the feasible region.

Q8. The sum of terms equidistant from the beginning and end in A.P. is equal to
Answer : Option D
Explaination / Solution:



Q9. The most stable measure of central tendency is
Answer : Option C
Explaination / Solution:

because takes into account every value in the given set of data to provide the average

Q10.

Let and x, y  R} be a relation in R. The relation R is


Answer : Option B
Explaination / Solution:

A relation R on a non empty set A is said to be symmetric if fx RyyRx, for all x , y R Clearly  is same as  for all x , y R. Therefore ,R is symmetric.