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Created on March 06, 2026 By

CA Sonal Saboo

CMA Foundation

Foundation FBMS PN-3 Quiz 4

This quiz is based on the CMA Fundamentals of Business Mathematics and Statistics paper.
Each question is multiple-choice with 4 options, and only 1 option is correct.
Attempt the quiz to test your understanding of CMA FBMS concepts.

1 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

1. f( x) = x²/3 + 2x² +3x + 7

a. Maximum, x = – 3; Minimum, x = – 1

b. Maximum, x = 1/2; Minimum, x = 2

c. Maximum, x = 1; Minimum, x = 4

d. No curvature

2 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

2. f ( x) = x³/3-x²/2-2x

a. Maximum, x = – 1; Minimum, x = 2

b. Maximum, x = 1; Minimum, x = – 2

c. Maximum, x = – 3; Minimum, x = 5

d. No curvature

3 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

3. f ( x) = − x³ /3+ 4x² −15x

a. Maximum, x = 1; Minimum, x = 3

b. Maximum, x = 5; Minimum, x = 3

c. Maximum, x = –3; Minimum, x = – 5

d. No curvature

4 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

4. f(x)=2/3x²-3/2x²-5x

a. Maximum, x = – 1; Minimum, x = 5/2

b. Maximum, x = 1; Minimum, x = 3

c. Maximum, x = –1; Minimum, x = − 3/2

d. No curvature

5 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

5. f(x) = x³/3-3/2x²+2x-3

a. Maximum, x = 3; Minimum, x = 5

b. Maximum, x = 1; Minimum, x = 2

c. Maximum, x = 6; Minimum, x = 1

d. No curvature

6 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

6. f(x) = x³/3 - 4.5x²-8x+2

a. Maximum, x = 1; Minimum, x = 8

b. Maximum, x = 4; Minimum, x = 2

c. Maximum, x = 3; Minimum, x = – 5

d. No curvature

7 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

7. f(x ) = x³ − 2x² − 4x

a. Maximum, x = −2/3; Minimum, x = 2

b. Maximum, x = 3/4; Minimum, x = 1

c. Maximum, x = 3; Minimum, x = −1/3

d. No curvature

8 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

8. f(x) = (4/3)x²-5x²+4x-9

a. Maximum, x = 4; Minimum, x = − 3/2

b. Maximum, x = 1/2; Minimum, x = 2

c. Maximum, x = 2; Minimum, x = –1

d. No curvature

9 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

9. f(x) = (2/3)x³+(9/2)x²-11x-21

a. Maximum, x = 2; Minimum, x = -9/2

b. Maximum, x = −11/2; Minimum, x = 1

c. Maximum, x = −3/2; Minimum, x = –3

d. No curvature

10 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

10. f(x) = x³/3-9x²+ 81x + 70

a. Maximum, x = 9; Minimum, x = 9

b. Minimum, x = 3; Maximum, x = 5

c. No curvature

d. None of the above

11 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

11. f(x) = ax³ +bx² + cx + d; a < 0; b < 0; c > 0 and a < b

a. Maximum

b. Minimum

c. No Curvature

d. None of the above

12 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

12. f(x) = x² -3x

a. Maximum

b. Minimum

c. No Curvature

d. None of the above

13 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

13. f(x) = 3x² +2

a. Maximum

b. Minimum

c. No Curvature

d. None of the above

14 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

14. f(x) = -x² +4x −2

a. Maximum

b. Minimum

c. No Curvature

d. None of the above

15 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

15. f(x) = 9x² -6x +1

a. Maximum

b. Minimum

c. No Curvature

d. None of the above

16 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

16. f(x) = -x +6x +18

a. Maximum

b. Minimum

c. No Curvature

d. None of the above

17 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

17. f(x) = 3x² -4x + 2

a. Maximum

b. Minimum

c. No Curvature

d. None of the above

18 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

18. f(x) = 20x² -15x −10

a. Maximum

b. Minimum

c. No Curvature

d. None of the above

19 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

19. f(x) = -4x² -7x −35

a. Maximum

b. Minimum

c. No Curvature

d. None of the above

20 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

20. f(x) = 6x² +11x −35

a. Maximum

b. Minimum

c. No Curvature

d. None of the above

21 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

21. Given: C (x) = 9x + 350 and P = 14.find the break-even quantity

a. 50

b. 70

c. 110

d. 100

22 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

22. Given: C (x) = 9x + 350 and P = 14. Find the condition of getting break- even point

a. 5x – 350 = 0

b. 7x – 350 = 0

c. –14x – 350 = 0

d. None of these

23 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

23. Find the monthly profit function if a firm’s yearly fixed cost is `60,000 and yearly production cost is `120 per piece. Each unit is sold at `15.

a. π = 5x – 5000

b. π (x) = 15x – 5000

c. π (x) = 20x – 5000

d. π (x) = 25x – 5000

24 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

24. A cement industry has a yearly fixed cost of `96,000 and a monthly production cost of `13 per unit produced. The product is sold at `39 per unit. Find the cost function

a. 13x + 8000

b. 13x + 96,000

c. 39x + 96,000

d. 39x + 8000

25 / 25

Category: Fundamental of Business Mathematics and Statistics PN-3

25. A manufacturer has a monthly fixed cost of `1, 00,000 and a production cost of `50 per unit produced. The product is sold at `75. Find the cost function and the number of products be sold by the manufacturer to have break even.

a. 25x + 50,000; 2000

b. 50x + 1,00,000; 4000

c. 5x + 1,00,000; 3000

d. 2.5x + 10,000; 5000

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Foundation PN-3 FBMS Quiz 4

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