POST UTME REDEEMERS UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A survey of 100 students found that 60 students preferred Mathematics, 30 preferred Science, and 10 preferred both. What is the probability that a randomly selected student prefers Mathematics or Science?
A. 0.7
B. 0.8
C. 0.9
D. 1.0
Question 2
A right-angled triangle has a hypotenuse of 10 cm and one leg of 6 cm. Find the length of the other leg.
A. 4
B. 6
C. 8
D. 12
Question 3
A company produces two products, A and B. The profit on product A is ₦50 per unit and the profit on product B is ₦75 per unit. If the company produces 100 units of product A and 50 units of product B, what is the total profit?
A. ₦12500
B. ₦15000
C. ₦17500
D. ₦20000
Question 4
If \( x^2 + 4x - 5 = 0 \), find the value of ( x ) u\sing the quadratic formula
A. -2 \pm \sqrt{21}
B. 2 \pm \sqrt{21}
C. -2 \pm \sqrt{19}
D. 2 \pm \sqrt{19}
Question 5
Solve the trigonometric equation \( \sin^2 x + \cos^2 x = 1 \) for ( x in [0, 2pi] ).
A. \( x = \frac{pi}{4} \) or \( x = \frac{3pi}{4} \)
B. \( x = \frac{pi}{2} \) or \( x = \frac{3pi}{2} \)
C. \( x = \frac{pi}{4} \) or \( x = \frac{7pi}{4} \)
D. \( x = \frac{pi}{2} \) or \( x = \frac{5pi}{2} \)
Question 6
Find the probability of drawing two aces from a deck of 52 cards.
A. \frac{1}{52}
B. \frac{1}{26}
C. \frac{1}{51}
D. \frac{1}{52} \cdot \frac{1}{51}
Question 7
Find the value of ( x ) in the equation \( 2^x + 5^x = 10^x \).
A. \( x = 2 \ \)
B. \( x = 3 \ \)
C. \( x = 4 \ \)
D. \( x = 5 \ \)
Question 8
Solve the quadratic equation \( x^2 + 5x + 6 = 0 \) u\sing the quadratic formula.
A. \( x = -2 \ \) or \( x = -3 \ \)
B. \( x = 2 \ \) or \( x = 3 \ \)
C. \( x = -3 \ \) or \( x = 2 \ \)
D. \( x = 3 \ \) or \( x = -2 \ \)
Question 9
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. \( x < -\frac{3}{2} \) or \( x > \frac{1}{2} \)
B. \( x < -\frac{3}{2} \) or \( x < \frac{1}{2} \)
C. \( x > -\frac{3}{2} \) or \( x < \frac{1}{2} \)
D. \( x > -\frac{3}{2} \) or \( x > \frac{1}{2} \)
Question 10
Solve for x in the equation \( egin{vmatrix} 2 & 3 \ 4 & 5 \end{vmatrix} = x \)
A. 7
B. 10
C. 12
D. 15
Question 11
A cylindrical \tank has a height of 10 m and a radius of 4 m. If the \tank is filled with water to a height of 8 m, what is the volume of water in the \tank?
A. 200π
B. 400π
C. 600π
D. 800π
Question 12
Solve the inequality [ 2x - 5 > 3 ].
A. x > 4
B. x < 4
C. x > 3
D. x < 3
Question 13
A histogram of exam scores is shown below. Find the mean score.
A. \( \frac{1}{2} \)
B. \( \frac{3}{4} \)
C. \( \frac{5}{6} \)
D. \( \frac{7}{8} \)
Question 14
A circle has a diameter of 10 cm. Find the area of the circle.
A. 50\pi
B. 100\pi
C. 200\pi
D. 250\pi
Question 15
Find the volume of the frustum of a cone with height 10cm, lower base radius 4cm, and upper base radius 2cm.
A. \( \frac{1}{3} pi \( 4^2 + 2^2 + 4 cdot 2 cdot 4 \ \) )
B. \( \frac{1}{3} pi \( 4^2 + 2^2 - 4 cdot 2 cdot 4 \ \) )
C. \( \frac{1}{3} pi \( 4^2 + 2^2 + 2 cdot 4 cdot 2 \ \) )
D. \( \frac{1}{3} pi \( 4^2 + 2^2 - 2 cdot 4 cdot 2 \ \) )

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