Mathematics - Online Test
Q1. is equal to
Answer : Option C
Explaination / Solution:
Q2. In linear programming infeasible solutions
Answer : Option C
Explaination / Solution:
In linear programming infeasible solutions fall outside the feasible region . In other words, it the region other than the feasible region is called the infeasible region.
Q3. Which term of the sequence 8 – 6i, 7 – 4i, 6 – 2i, ….is a real number ?
Answer : Option D
Explaination / Solution:
for real n, imaginary part = 0
so 2n - 8=0
which gives, n = 4
Q4. The two lines of regression are 2x - 7y + 6 = 0 and 7x – 2y +1 = 0. What is correlation coefficient between x and y ?
Answer : Option C
Explaination / Solution:
but sign of is same as the sign of
therefore,
Q5. Let R be the relation on N defined as x R y if x + 2 y = 8. The domain of R is
Answer : Option A
Explaination / Solution:
As x R y if x + 2 y = 8 , therefore , domain of the relation R is given by x = 8 – 2y∈N. When y = 1, ⇒x = 6 ,when y = 2, ⇒x =4 , when y =3 , ⇒x = 2 . therefore domain is { 2, 4, 6 }.
Q6. The line through the points (a , b) and (- a , - b) passes through the point
Answer : Option C
Explaination / Solution:
Equation of a line passing through (x1,y1) and (x2,y2)
=
Substituting the given values we get,
=
That is =
On cross multiplying and reaaranging we get,
bx - ay = 0
If this passes through the given point (a2,ab) then
b(a2) - a(ab) = 0
Q7. Let p and q be two prepositions given by p : It is hot, q : He wants water Then , the verbal meaning of p→q is
Answer : Option C
Explaination / Solution:
→ symbol is replaced by if p then q
Q8. is equal to
Answer : Option A
Explaination / Solution:
Q9. Direction cosines
Answer : Option D
Explaination / Solution:
Cosines of the angles α,β,γ are called direction cosines.
Q10. A black and a red dice are rolled. Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.
Answer : Option A
Explaination / Solution:
