Mathematics - Online Test
Q1. Let A = { a,b,c } , B = { b,c,d } , C = { a,b,d,e } , then A∩(B∪C) is
Answer : Option B
Explaination / Solution:
Q2. Let x,y∈R, then x + iy is a purely imaginary number if
Answer : Option B
Explaination / Solution:
Purely imaginary number is a complex number which has only imaginary part ( iy)
But if y=0 the complex number iy will become 0 which is real.
Hence the condition for a number to be purely imaginary is x=0 and
Q3. One root of the equation 
Answer : Option D
Explaination / Solution:
Q4. The term independent of x in the expansion of is
Answer : Option A
Explaination / Solution:
Q5. Identify solution set for | 4 − x | + 1 < 3?
Answer : Option A
Explaination / Solution:
So solution set is ( 2 , 6 )
Q6. is
Answer : Option C
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
Answer : Option A
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 occur at the corner point (vertex) of R.
Q8. The eleventh term of the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, ….. is
Answer : Option C
Explaination / Solution:
here,
Q9. If x and y are related as y – 4x = 3, then the nature of correlation between x and y is
Answer : Option C
Explaination / Solution:
comparinf the given equation with ax + by + c= 0
a = -4, b =1 and c= -3
so ab < 0
hence,
so a perfect positive correlation.
Q10. R = {(1, 1), (2, 2), (1, 2), (2, 1), (2, 3)} be a relation on A, then R is
Answer : Option B
Explaination / Solution:
A relation R on a non empty set A is said to be reflexive if xRx for all x R , Therefore , R is not reflexive.
A relation R on a non empty set A is said to be symmetric if xRyyRx, for all x , y R Therefore, R is not symmetric.
A relation R on a non empty set A is said to be antisymmetric if xRy and yRxx = y , for all x , y R.Therefore, R is not antisymmetric.
A relation R on a non empty set A is said to be symmetric if xRyyRx, for all x , y R Therefore, R is not symmetric.
A relation R on a non empty set A is said to be antisymmetric if xRy and yRxx = y , for all x , y R.Therefore, R is not antisymmetric.
