POST UTME NILE UNIVERSITY 2021 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Let X and Y be indep\endent random variables with mean 0 and variance 1. What is the probability that X + Y is greater than 2?
A. 0.5
B. 0.25
C. 0.75
D. 0.125
Question 2
A binary operation \( * \) on the set of integers is defined as follows: \( a * b = a^2 + b^2 \). Find the value of \( 2 * 3 \).
A. 4
B. 5
C. 10
D. 13
Question 3
Solve the quadratic equation: \begin{align*} x^2 + 5x + 6 &= 0 \end{align*}
A. x = -2, x = -3
B. x = 2, x = 3
C. x = -1, x = -6
D. x = 1, x = 6
Question 4
Determine the value of x in the equation \( 2^x = 64 \).
A. ( 6 )
B. ( 7 )
C. ( 8 )
D. ( 9 )
Question 5
Solve for x in the equation \( 2^x + 2^{-x} = 3 \).
A. \( \log_2\( 2 \ \) )
B. \( \log_2\( 3 \ \) )
C. \( \log_2\( 4 \ \) )
D. \( \log_2\( 5 \ \) )
Question 6
Solve the system of linear equations: \( \begin{cases} 2x + 3y = 7 \ 4x - 2y = -3 \end{cases} \).
A. x = 1, y = 2
B. x = 2, y = 1
C. x = 3, y = 4
D. x = 4, y = 3
Question 7
Solve the equation \log_{10} x^2 = 4.
A. x = 10^2
B. x = 10^4
C. x = 10^{-2}
D. x = 10^{-4}
Question 8
A rec\tangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Find its volume.
A. 30
B. 40
C. 50
D. 60
Question 9
Find the derivative of the function ( f(x) = 3x^2 + 2x - 5 ).
A. 6x + 2
B. 6x + 4
C. 6x - 2
D. 6x - 4
Question 10
Find the area of the triangle with vertices (0, 0), (3, 0), and (0, 4).
A. 12
B. 14
C. 16
D. 18
Question 11
Find the area under the curve \( y = \frac{1}{2}x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 16
B. 32
C. 64
D. 128
Question 12
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 = x + 2
D. y = x - 2
Question 13
Solve the inequality \frac{x-2}{x+1} > 0.
A. x < -1 \text{ or } x > 2
B. x < -1 \text{ or } x < 2
C. x > -1 \text{ or } x > 2
D. x > -1 \text{ or } x < 2
Question 14
Find the volume of the solid formed by rotating the area under the curve y = x^2 from x = 0 to x = 2 about the x-axis.
A. \frac{8\pi}{5}
B. \frac{10\pi}{3}
C. \frac{12\pi}{5}
D. \frac{14\pi}{3}
Question 15
Find the sum of the first 10 terms of the geometric series with first term 2 and common ratio 3.
A. 116
B. 118
C. 120
D. 122

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