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POST UTME EKSU 2019 Mathematics | Objective

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Question 1 View Details

Solve for x in the equation $$12x \$ = $\frac{1}{2}$\) ) in the interval ( [0, 2pi] ).

Correct A. $\frac{\pi}{6}$\)

B. $\frac{\pi}{3}$\)

C. $\frac{\pi}{2}$\)

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

Correct Answer: A

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Question 2 View Details

Find the equation of the circle with center $-2, 3 \$ ) and radius ( 4 ).

Correct A. $x + 2$^2 + $y - 3$^$2 = 16$

B. $x + 2$^2 + $y - 3$^$2 = 25$

C. $x - 2$^2 + $y + 3$^$2 = 16$

D. $x - 2$^2 + $y + 3$^$2 = 25$

Correct Answer: A

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Question 3 View Details

A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4?

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

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

C. $\frac{2}{3}$\)

Correct D. $\frac{5}{6}$\)

Correct Answer: D

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Question 4 View Details

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

Correct A. x < -1 or x > $\frac{3}{2}$\)

B. x < -1 or x < $\frac{3}{2}$\)

C. x > -1 or x < $\frac{3}{2}$\)

D. x > -1 or x > $\frac{3}{2}$\)

Correct Answer: A

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Question 5 View Details

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

Correct A. $y =$$\frac{2}{2}$\) x + 1

B. $y =$$\frac{2}{2}$\) x + 2

C. $y =$$\frac{2}{2}$\) x + 3

D. $y =$$\frac{2}{2}$\) x + 4

Correct Answer: A

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Question 6 View Details

Find the derivative of ( f(x) = $\frac{1}{x^2 + 1}$\)\) ) using the chain rule.

A. f'$(x) =$$\frac{-2x}{x^2 + 1$ ^2}\)\)

Correct B. f'$(x) =$$\frac{2x}{x^2 + 1$ ^2}\)\)

C. f'$(x) =$$\frac{-x}{x^2 + 1$ ^2}\)\)

D. f'$(x) =$$\frac{x}{x^2 + 1$ ^2}\)\)

Correct Answer: B

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Question 7 View Details

Solve for x in the equation $\begin{vmatrix} 2 & 3 \ 4 & 5 \ \end{vmatrix} = 0$.

Correct A. $x =$$\frac{1}{2}$\)

B. $x =$$\frac{1}{3}$\)

C. $x =$$\frac{1}{4}$\)

D. $x =$$\frac{1}{5}$\)

Correct Answer: A

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Question 8 View Details

Find the mean of the data set: 2, 4, 6, 8, 10.

A. 6

Correct B. 8

C. 10

D. 12

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 > $\frac{3}{2}$\)

B. x < -1 or x < $\frac{3}{2}$\)

C. x > -1 or x > $\frac{3}{2}$\)

D. x > -1 or x < $\frac{3}{2}$\)

Correct Answer: A

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Question 10 View Details

Find the equation of the circle with center $-2, 3$ and radius 4.

Correct A. $x + 2$^2 + $y - 3$^$2 = 16$

B. $x - 2$^2 + $y + 3$^$2 = 16$

C. $x + 2$^2 + $y + 3$^$2 = 16$

D. $x - 2$^2 + $y - 3$^$2 = 16$

Correct Answer: A

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Question 11 View Details

A cylindrical \tank with a radius of 7m and height of 10m is filled with water to a depth of 8m. Find the volume of water in the \tank, correct to 3 significant figures.

Correct A. 1496.8

B. 1496.9

C. 1496.7

D. 1496.6

Correct Answer: A

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Question 12 View Details

The mean of 5 numbers is 15. If one of the numbers is 8, find the sum of the other 4 numbers.

Correct A. 67

B. 68

C. 69

D. 70

Correct Answer: A

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Question 13 View Details

A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?

Correct A. 1250

B. 1251

C. 1252

D. 1253

Correct Answer: A

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Question 14 View Details

Solve the equation: \$(2x^2 + 5x - 3$$= 0.$\)

Correct A. $\frac{1}{2}$\)

B. -3

C. 3

D. 4

Correct Answer: A

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Question 15 View Details

A right-angled triangle has a hypotenuse of length 10cm and one of the other sides of length 6cm. Find the length of the third side.

Correct A. 8

B. 9

C. 10

D. 11

Correct Answer: A

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Question 16 View Details

Find the value of (x\) in the equation $2x^2 + 5x - 3 = 0\\((x) in the equation$ using the quadratic formula.

A. 1

Correct B. -1

C. 2

D. -2

Correct Answer: B

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Question 17 View Details

Solve for (x\) in the equation $$1x = \\((x) in the equation \frac{1}{\sqrt{3}}$.

Correct A. $\frac{\pi}{6}$\)

B. $\frac{\pi}{3}$\)

C. $\frac{\pi}{4}$\)

D. $\frac{\pi}{2}$\)

Correct Answer: A

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Question 18 View Details

A box contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?

A. $\frac{1}{4}$\)

B. $\frac{1}{2}$\)

Correct C. $\frac{3}{8}$\)

D. $\frac{3}{4}$\)

Correct Answer: C

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Question 19 View Details

Find the equation of the circle with center $-2, 3$\) and radius 4.

Correct A. $x + 2$^2 + $y - 3$^$2 = 16$

B. $x - 2$^2 + $y + 3$^$2 = 16$

C. $x + 2$^2 + $y + 3$^$2 = 16$

D. $x - 2$^2 + $y - 3$^$2 = 16$

Correct Answer: A

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Question 20 View Details

Find the magnitude of the vector $\vec{a} = \langle 3, 4 \rangle$.

A. 5

B. $\sqrt{5}$

Correct C. $\sqrt{25}$

D. 25

Correct Answer: C

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Question 21 View Details

Solve the inequality ($\frac{x}{x-2}\(> 1$\) for \$(frac{x}{x-2} > 1\(x > 2$\).

A. $x < 0$

Correct B. $x > 4$

C. $x > 2$

D. $x < 2$

Correct Answer: B

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Question 22 View Details

Find the value of ( x ) in the equation $2x^2 + 5x - 3 = 0$.

A. $x = -1$

Correct B. $x = 3$

C. $x = -3$

D. $x = 1$

Correct Answer: B

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Question 23 View Details

Solve the system of equations $x + y = 4$ and $x - y = 2$.

Correct A. $x = 3, y = 1$

B. $x = 2, y = 2$

C. $x = 1, y = 3$

D. $x = 4, y = 0$

Correct Answer: A

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Question 24 View Details

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

Correct A. $y = 2x + 1$

B. $y = x + 2$

C. $y = 2x - 1$

D. $y = x - 2$

Correct Answer: A

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Question 25 View Details

Find the value of ( x ) in 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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