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POST UTME BSU 2020 Mathematics | Objective

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Question 1 View Details

Find the equation of the circle passing through the points (2,3), (4,5), and $-1,2$.

Correct A. $x^2 + y^2 + 4x - 6y - 3 = 0$

B. $x^2 + y^2 - 4x + 6y - 3 = 0$

C. $x^2 + y^2 + 2x - 4y - 3 = 0$

D. $x^2 + y^2 - 2x + 4y - 3 = 0$

Correct Answer: A

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Question 2 View Details

Evaluate the definite integral $int_{0}^{1} x^2 \sqrt{1-x^2} dx$.

Correct A. $\frac{1}{3}$

B. $\frac{2}{3}$

C. $\frac{1}{2}$

D. $\frac{1}{4}$

Correct Answer: A

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Question 3 View Details

A fair six-sided die is rolled twice. What is the probability that the sum of the two rolls is 7?

A. $\frac{1}{6}$

Correct B. $\frac{1}{3}$

C. $\frac{1}{2}$

D. $\frac{2}{3}$

Correct Answer: B

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Question 4 View Details

Find the volume of the solid formed by revolving the region bounded by the parabola (y = $x^2$\) and the line $y = 2x\\((y = x^2) and the line$ about the x-axis.

Correct A. $\frac{8}{15} \pi$

B. $\frac{16}{15} \pi$

C. $\frac{32}{15} \pi$

D. $\frac{64}{15} \pi$

Correct Answer: A

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Question 5 View Details

A company produces two products, A and B. The profit from producing x units of product A and y units of product B is given by the function ( P(x, y) = 2x + 3y - xy - 10 ). Find the values of x and y that maximize the profit.

Correct A. $x = 5, y = 3$

B. $x = 3, y = 5$

C. $x = 10, y = 2$

D. $x = 2, y = 10$

Correct Answer: A

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Question 6 View Details

Solve for x in the equation $\frac{1}{2}x^2 + 5x - 3 = 0$ using the quadratic formula.

A. $x = -10$± √$100 - 24$

B. $x = 10$ ± √$100 - 24$

Correct C. $x = -5$± √$25 - 12$

D. $x = 5$ ± √$25 - 12$

Correct Answer: C

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Question 7 View Details

A circle has a diameter of 10 cm. Find the area of the circle.

A. 25π $cm^2$

Correct B. 50π $cm^2$

C. 75π $cm^2$

D. 100π $cm^2$

Correct Answer: B

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Question 8 View Details

Find the sum of the first 5 terms of the geometric series 2, 6, 18, ...

A. 62

Correct B. 64

C. 66

D. 68

Correct Answer: B

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Question 9 View Details

Solve the inequality $2x^2 + 5x - 3 > 0$.

Correct A. x < -1 or $x > 3$

B. $x < 1$ or $x > 3$

C. x < -3 or $x > 1$

D. x < -3 or $x > 3$

Correct Answer: A

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Question 10 View Details

Find the equation of the line passing through the points (2, 3) and (4, 5).

Correct A. $y = 2x - 1$

B. $y = 2x + 1$

C. $y = x - 1$

D. $y = x + 1$

Correct Answer: A

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Question 11 View Details

Find the area under the curve $y = \frac{1}{2}x^2 + 3x - 2$ from $x = 0$ to $x = 4$.

Correct A. $\frac{1}{2} \times 4^3 + 3 \times \frac{4^2}{2} - 2 \times 4$

B. $\frac{1}{2} \times 4^3 + 3 \times \frac{4^2}{2} - 2 \times 4 + \frac{1}{2}$

C. $\frac{1}{2} \times 4^3 + 3 \times \frac{4^2}{2} - 2 \times 4 - \frac{1}{2}$

D. $\frac{1}{2} \times 4^3 + 3 \times \frac{4^2}{2} - 2 \times 4$

Correct Answer: A

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Question 12 View Details

Solve the inequality $2x^2 + 5x - 3 > 0$.

Correct A. $x < -\frac{5}{4}$ or $x > \frac{3}{2}$

B. $x < -\frac{5}{4}$ or $x < \frac{3}{2}$

C. $x > -\frac{5}{4}$ or $x > \frac{3}{2}$

D. $x > -\frac{5}{4}$ or $x < \frac{3}{2}$

Correct Answer: A

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Question 13 View Details

Find the value of $\log_{10} x^2 \$ ) given that $\log_{10} x \$$= 2 ).$

A. ( 4 )

Correct B. ( 8 )

C. ( 16 )

D. ( 32 )

Correct Answer: B

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Question 14 View Details

Solve the equation $\sin^2 x + \cos^2 x = 1$.

Correct A. $\(1x =$1x\)

B. $\(1x = -$1x\)

C. $\(1x = -$1x\)

D. $\(1x =$1x\)

Correct Answer: A

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Question 15 View Details

Find the value of $$1\left \frac{\pi}{4} \right \$ ).

Correct A. ( 1 )

B. $-1$

C. $\sqrt{2}$

D. $-\sqrt{2}$

Correct Answer: A

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Question 16 View Details

Solve the equation $x^2 + 4x + 4 = 0$.

Correct A. $x = -2$

B. $x = 2$

C. $x = -1$

D. $x = 1$

Correct Answer: A

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Question 17 View Details

Find the value of $\frac{d}{dx} \left x^3 - 3x^2 + 2x - 1 \right \$ ).

Correct A. $3x^2 - 6x + 2$

B. $3x^2 - 6x + 2 + 1$

C. $3x^2 - 6x + 2 - 1$

D. $3x^2 - 6x + 2$

Correct Answer: A

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Question 18 View Details

Solve the equation $\frac{x}{2} + \frac{1}{x} = 3$.

A. $x = 2$

Correct B. $x = 4$

C. $x = 6$

D. $x = 8$

Correct Answer: B

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Question 19 View Details

Find the value of $int_{0}^{2} x^2 + 2x - 1 \$ dx ).

A. $\frac{8}{3}$

B. $\frac{16}{3}$

C. $\frac{24}{3}$

D. $\frac{32}{3}$

Correct Answer: VIEW ANSWER

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