Mathematics - Online Test
Q1. Let U = { 1,2,3,4,5,6,7,8,9,10 } , A = { 1,2,5 } , B = { 6,7 }. Then A∩B′ is
Answer : Option A
Explaination / Solution:
Q2. Multiplicative inverse of the non zero complex number x + iy (x,y∈R,)
Answer : Option D
Explaination / Solution:
Multiplicative inverse of the complex number x + iy =
Q3. 
is equal to
is equal to
Answer : Option C
Explaination / Solution:
Q4. The number of dissimilar terms in the expansion of is
Answer : Option C
Explaination / Solution:
Q5. What is the solution set for ?
Answer : Option B
Explaination / Solution:
We have [ |x| or absolute value of x is always positive or zero but never negative ]
Q6. is equal to
Answer : Option B
Explaination / Solution:
Q7. Let R be the feasible region for a linear programming problem,and let Z = ax + by be the objective function. If R is bounded, then the objective function Z has both a maximum and a minimum value on R and
Answer : Option D
Explaination / Solution:
Let R be the feasible region for a linear programming problem,and let Z = ax + by be the objective function. If R is bounded, then the objective function Z has both a maximum and a minimum value on R and each of these occurs at a corner point (vertex) of R.
Q8. pth term of an A.P. is q and qth term is p, its (p+ q)th term is
Answer : Option B
Explaination / Solution:
Q9. Coefficient of correlation between the observations ( 1, 6 ) , ( 2 , 5 ) , ( 3 , 4) , ( 4 , 3 ) , ( 5 , 2 ) , ( 6 , 1 ) is
Answer : Option A
Explaination / Solution:
use,r(x,y)=1n∑i=1n(Xi−X¯)(Yi−Y¯)1n∑i=1n(Xi−X¯)2√1n∑i=1n(Yi−Y¯)2√
Q10. Let A = {1, 2, 3}. Which of the following is not an equivalence relation on A ?
Answer : Option A
Explaination / Solution:
A relation R on a non empty set A is said to be reflexive iff xRx for all x R . A relation R on a non empty set A is said to be symmetric iff xRyyRx, for all x , y R .
A relation R on a non empty set A is said to be transitive iff xRy and yRzxRz, for all x R. An equivalence relation satisfies all these three properties. .
None of the given relations satisfies all three properties of equivalence relation.
A relation R on a non empty set A is said to be transitive iff xRy and yRzxRz, for all x R. An equivalence relation satisfies all these three properties. .
None of the given relations satisfies all three properties of equivalence relation.
