Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

If y = 3x((x + a)/(x + b)) + 5 where, a and b are constants and a > b, be the total cost for x unit of output of a commodity. What will be the nature of marginal cost as the output increases continuously?

A. Does not change
B. Increases continuously
C. Falls continuously
D. Changes as the interval of y changes
Answer» D. Changes as the interval of y changes
Discussion
2.

What will be the nature of the equation (sinθ)/θ for 0 < θ < π/2 if θ increases continuously?

A. Decreases
B. Increases
C. Cannot be determined for 0 < θ < π/2
D. A constant function
Answer» B. Increases
Discussion
3.

What will be nature of the f(x) = 10 – 9x + 6x2 – x3 for 1 < x < 3?

A. Decreases
B. Increases
C. Cannot be determined for 1 < x < 3
D. A constant function
Answer» C. Cannot be determined for 1 < x < 3
Discussion
4.

What will be nature of the f(x) = 10 – 9x + 6x2 – x3 for x < 1?

A. Decreases
B. Increases
C. Cannot be determined for x < 1
D. A constant function
Answer» B. Increases
Discussion
5.

What will be nature of the f(x) = 10 – 9x + 6x2 – x3 for x > 3?

A. Decreases
B. Increases
C. Cannot be determined for x > 3
D. A constant function
Answer» B. Increases
Discussion
6.

What will be the range of the function f(x) = 2x3 – 9x2 – 24x + 5 which decreases with x?

A. -1 < x < 4
B. 1 < x < 4
C. -1 ≤ x < 4
D. -1 < x ≤ 4
Answer» B. 1 < x < 4
Discussion
7.

What will be the range of the function f(x) = 2x3 – 9x2 – 24x + 5 which increases with x?

A. x > 4
B. x > 4 or x < -1
C. x < -1
D. Can’t be determined
Answer» C. x < -1
Discussion
8.

If x > 0, then which one is correct?

A. x > log(x + 1)
B. x < log (x + 1)
C. x = log(x + 1)
D. x ≥ log(x + 1)
Answer» B. x < log (x + 1)
Discussion