Mathematics - Online Test
Q1.
If n is a +ve integer, then the binomial coefficients equidistant from the beginning and the end in the expansion of are
Answer : Option A
Explaination / Solution:
Q2. What is the solution set for ?
Answer : Option D
Explaination / Solution:
Given
Multiplying both sides by LCM,we get
Solution set is
Q3. Which of the following types of problems cannot be solved by linear programming methods
Answer : Option A
Explaination / Solution:
Traffic signal control types of problems cannot be solved by linear programming methods, because there is no need for optimization in such problems.
Q4. is equal to
Answer : Option D
Explaination / Solution:
Since when we put x=0, we get 0/0 form, So we have to use D'L hospital rule :
Do the differentiation of numerator and denominator partially w.r.t x , we get :
By putting x=0 directly, we get 0.
Q5. The next term of the sequence, 2, 6, 12, 20, …..is
Answer : Option D
Explaination / Solution:
nth term of given sequence is n(n+1)
so the 5th term is 5(5+1)=30
Q6. The S.D. of the observations 22,26,28,20,24,30 is
Answer : Option C
Explaination / Solution:
Q7. If R is a relation from a non – empty set A to a non – empty set B, then
Answer : Option C
Explaination / Solution:
Let A and B be two sets . Then a relation R from set A to set B is a subset of A×B.Thus , R is a relation from A to B ⇔R⊆A×B⇔R⊆A×B.
Q8. The distance of the point ( x, y ) from the origin is
Answer : Option A
Explaination / Solution:
Distance between two points is given by
Therefore the distance from the origin to the point (x,y) is =
Q9. Let p and q be two prepositions given by P : The sky is blue, q : Milk is white, Then , p and q is
Answer : Option D
Explaination / Solution:
using conjunction to combine statement
Q10. t dt is equal to
Answer : Option C
Explaination / Solution:
=[sint]π/2−π/2=sinπ2−sin(−π2)=1+1=2
