POST UTME UNIOSUN 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A sequence is defined by the formula \( a_n = 2n + 1 \). Find the 10th term of the sequence.
A. 21
B. 22
C. 23
D. 24
Question 2
A histogram of exam scores is given below. If the mean score is 60, find the value of k.
A. 5
B. 10
C. 15
D. 20
Question 3
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 2 \).
A. 4
B. 6
C. 8
D. 10
Question 4
Determine the value of x in the equation \( 2x^2 + 5x - 3 = 0 \).
A. \( x = -1 \)
B. \( x = 3 \)
C. \( x = -3 \)
D. \( x = 1 \)
Question 5
Solve the equation \( x^3 - 6x^2 + 11x - 6 = 0 \).
A. 1
B. 2
C. 3
D. 4
Question 6
Solve for $x$ in the equation $2^x + 3^x = 5^x$.
A. 2
B. 3
C. 4
D. 5
Question 7
Find the area under the curve y = x^3 - 6x^2 + 9x + 2 from x = 0 to x = 2.
A. \frac{16}{5}
B. \frac{32}{5}
C. \frac{48}{5}
D. \frac{64}{5}
Question 8
Determine the value of x in the equation \( \frac{1}{x} + \frac{1}{x+1} = \frac{1}{2} \).
A. 1
B. 2
C. 3
D. 4
Question 9
Find the derivative of the function f(x) = \frac{1}{x^2 + 1} u\sing the chain rule.
A. -\frac{2x}{\( x^2 + 1 \)^2}
B. \frac{2x}{\( x^2 + 1 \)^2}
C. -\frac{2}{\( x^2 + 1 \)^2}
D. \frac{2}{\( x^2 + 1 \)^2}
Question 10
A histogram of exam scores has a mean of 60 and a s\tandard deviation of 10. If the scores are normally distributed, what is the probability that a randomly selected score is between 50 and 70?
A. 0.3413
B. 0.3415
C. 0.3417
D. 0.3419
Question 11
A binary operation ( odot ) is defined as \( a odot b = ab + 2 \). Find the value of ( 2 odot 3 ).
A. ( 8 )
B. ( 10 )
C. ( 12 )
D. ( 14 )
Question 12
Solve the inequality 2x^2 + 5x - 3 > 0.
A. \( -\infty, -1 \) \cup \( 3, \infty \)
B. \( -\infty, -3 \) \cup \( 1, \infty \)
C. \( -\infty, -1 \) \cup \( 1, \infty \)
D. \( -\infty, 1 \) \cup \( 3, \infty \)
Question 13
Solve the inequality \( 2x^2 + 5x - 3 > 0 \).
A. x < -1 or x > 3/2
B. x > -1 or x < 3/2
C. x < -1 or x < 3/2
D. x > -1 or x > 3/2
Question 14
Find the determinant of the matrix \( egin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix} \).
A. \( egin{vmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{vmatrix} = 0 \)
B. \( egin{vmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{vmatrix} = 1 \)
C. \( egin{vmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{vmatrix} = -1 \)
D. \( egin{vmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{vmatrix} = 2 \)
Question 15
Find the sum of the infinite geometric series \( sum_{n=1}^{infty} \frac{1}{2^n} \).
A. 1
B. 2
C. 3
D. 4

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