POST UTME DELSU 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
The mean of 5 numbers is 15. If one of the numbers is 10, find the sum of the other 4 numbers.
A. 40
B. 50
C. 60
D. 70
Question 2
A number in base 8 is represented as 123. Find its equivalent in base 10.
A. 83
B. 93
C. 103
D. 113
Question 3
Solve the trigonometric equation \( \sin^2(x) + \cos^2(x) = 1 \) u\sing trigonometric identities.
A. \( \sin(x) = \pm \sqrt{\frac{1}{2}} \)
B. \( \cos(x) = \pm \sqrt{\frac{1}{2}} \)
C. \( \tan(x) = \pm \sqrt{\frac{1}{2}} \)
D. \( \cot(x) = \pm \sqrt{\frac{1}{2}} \)
Question 4
Find the area under the curve \( y = \frac{1}{x} \) from \( x = 1 \) to \( x = 2 \) u\sing integration.
A. \( \ln(2) - \ln(1) \)
B. \( \ln(2) - \ln(2) \)
C. \( \ln(1) - \ln(2) \)
D. \( \ln(2) - \ln(2) \)
Question 5
Find the derivative of the function ( f(x) = \frac{1}{\sqrt{x^2 + 1}} ) u\sing the chain rule.
A. \( \frac{-x}{\( x^2 + 1 \ \)^{3/2}} )
B. \( \frac{x}{\( x^2 + 1 \ \)^{3/2}} )
C. \( \frac{1}{\( x^2 + 1 \ \)^{3/2}} )
D. \( \frac{-1}{\( x^2 + 1 \ \)^{3/2}} )
Question 6
Solve for x in the equation \( egin{bmatrix} 2 & 1 \ 1 & 2 \end{bmatrix} egin{bmatrix} x \ 1 \end{bmatrix} = egin{bmatrix} 3 \ 3 \end{bmatrix} \).
A. 1
B. 2
C. 3
D. 4
Question 7
Find the value of $x$ in the equation $\left| 2x - 5 \right| = 7$.
A. 3
B. -2
C. 4
D. -1
Question 8
Find the area under the curve y = 2x² + 3x - 4 from x = 0 to x = 2.
A. 20
B. 30
C. 40
D. 50
Question 9
Solve the equation \( \sin^2\( x \ \) + \cos^2(x) = 1 ) for x.
A. x = 0
B. x = 90
C. x = 180
D. x = 270
Question 10
Solve the inequality $\frac{x - 2}{x + 1} > 0$.
A. $x > -1$ or $x < 2$
B. $x > 2$ or $x < -1$
C. $x > 1$ or $x < -2$
D. $x > -2$ or $x < 1$
Question 11
A polynomial function is shown below. What is the value of the function at \( x = 2 \)?
A. 1
B. 3
C. 5
D. 7
Question 12
Solve for ( x ) in the equation \( 2^x + 3^x = 5^x \).
A. \( x = 2 \)
B. \( x = 3 \)
C. \( x = 4 \)
D. \( x = 5 \)
Question 13
A bakery sells a total of 480 loaves of bread per day. They sell a combination of whole wheat and white bread. If the ratio of whole wheat to white bread is 5:4, how many loaves of whole wheat bread are sold per day?
A. 200
B. 250
C. 300
D. 350
Question 14
Find the equation of the circle with center \( -2, 3 \) and radius 4.
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
Question 15
Let ( f(x) = \frac{x^2 - 4}{x - 2} ). Find the derivative of ( f(x) ) u\sing the chain rule.
A. \( f'(x) = \frac{2x^2 - 4}{\( x-2 \)^2} \)
B. \( f'(x) = \frac{2x^2 - 4x}{\( x-2 \)^2} \)
C. \( f'(x) = \frac{2x^2 - 4x + 4}{\( x-2 \)^2} \)
D. \( f'(x) = \frac{2x^2 - 4}{\( x-2 \)^2} \)

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