Mathematics - Online Test

Q1. In case of strict decreasing functions, slope of tangent and hence derivative is
Answer : Option B
Explaination / Solution:

In case of a strict decreasing function , slope of tangent and hence derivative is either negative or zero because decreasing function change sign from positive to negative and making obtuse angle measured clockwise.Hence negative and will be zero at peak.

Q2. If A and B be any two sets , then (A∪BA∪B)′ is equal to
Answer : Option D
Explaination / Solution:



Q3.  is equals to
Answer : Option C
Explaination / Solution:



Q4. A square matrix A is invertible iff det A is equal to
Answer : Option D
Explaination / Solution:

Only non-singular matrices possess inverse.

Q5.

If the coefficients of  and  in the expansion of  are equal then n =


Answer : Option A
Explaination / Solution:



Q6.
Answer : Option D
Explaination / Solution:



Q7.  is equal to
Answer : Option C
Explaination / Solution:



Q8. 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.

Q9. 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


Q10. 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 ρ is same as the sign of 

therefore,