POST UTME REDEEMERS UNIVERSITY 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A binary number is represented as 1101. Convert it to decimal.
A. 13
B. 14
C. 15
D. 16
Question 2
A polynomial is defined by the equation ( p(x) = x^3 - 2x^2 + 3x - 1 ). Find the value of ( p(2) ).
A. 9
B. 11
C. 13
D. 15
Question 3
A rec\tangular prism has a length of 8 cm, a width of 5 cm, and a height of 3 cm. Calculate its volume in cubic centimeters.
A. 120
B. 140
C. 160
D. 180
Question 4
Let X and Y be indep\endent random variables with probability density functions f_X(x) = 2x, 0 < x < 1, and f_Y(y) = 3y^2, 0 < y < 1. Find the probability that X + Y < 1.
A. 1/4
B. 1/2
C. 3/4
D. 1
Question 5
In a histogram, the frequency of a class is represented by the area of the rec\tangle. If the width of the class is 5 and the height is 8, what is the area of the rec\tangle?
A. 20
B. 30
C. 40
D. 50
Question 6
Determine the mean of the following set of numbers: 2, 4, 6, 8, 10. If the mean is increased by 2, what is the new mean?
A. 12
B. 14
C. 16
D. 18
Question 7
A circle has a diameter of 14 cm. Calculate its circumference.
A. 44
B. 44.8
C. 45
D. 45.2
Question 8
Determine the mean of the following data set: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. Round the answer to the nearest whole number.
A. 10
B. 12
C. 14
D. 16
Question 9
Find the equation of the line pas\sing through the points $(2, 3)$ and $(4, 5)$.
A. y = 2x + 1
B. y = 2x - 1
C. y = -2x + 1
D. y = -2x - 1
Question 10
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 104,783
B. 104,783
C. 104,783
D. 104,783
Question 11
A binary operation \ast is defined as follows: a \ast b = a^2 + b^2. Find \( 2 \ast 3 \) \ast 4.
A. 52
B. 53
C. 54
D. 55
Question 12
Find the area under the curve $y = \frac{1}{2}x^2 + 3x - 2$ from $x = 0$ to $x = 4$.
A. \frac{1}{2} \cdot 4^3 + 3 \cdot 4^2 - 2 \cdot 4
B. \frac{1}{2} \cdot 4^3 + 3 \cdot 4^2 - 2 \cdot 4 + \frac{1}{2} \cdot 0^3 + 3 \cdot 0^2 - 2 \cdot 0
C. \frac{1}{2} \cdot 4^3 + 3 \cdot 4^2 - 2 \cdot 4 - \frac{1}{2} \cdot 0^3 - 3 \cdot 0^2 + 2 \cdot 0
D. \frac{1}{2} \cdot 4^3 + 3 \cdot 4^2 - 2 \cdot 4 + \frac{1}{2} \cdot 0^3 + 3 \cdot 0^2 - 2 \cdot 0
Question 13
Determine the equation of the \tangent line to the curve \( y = \frac{1}{2}x^2 - 3x + 2 \) at the point where \( x = 2 \).
A. \( y = -4x + 10 \)
B. \( y = 4x - 10 \)
C. \( y = -2x + 10 \)
D. \( y = 2x - 10 \)
Question 14
A binary operation ( odot ) is defined as \( a odot b = ab + 2 \). Determine the value of ( 3 odot 4 ).
A. ( 14 )
B. ( 16 )
C. ( 18 )
D. ( 20 )
Question 15
Find the surface area of the solid formed by revolving the region bounded by the curve $y = x^2$ and the line $y = 2x$ about the x-axis.
A. \frac{32\pi}{3}
B. \frac{64\pi}{3}
C. \frac{128\pi}{3}
D. \frac{256\pi}{3}

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