POST UTME IGBINEDION UNIVERSITY 2019 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Solve for ( x ) in the equation \( 2^x = 16 \).
A. 2
B. 3
C. 4
D. 5
Question 2
A die is rolled twice. What is the probability that the sum of the two numbers shown on the dice is 7?
A. \frac{1}{6}
B. \frac{1}{12}
C. \frac{1}{36}
D. \frac{1}{24}
Question 3
Find the area under the curve y = x^2 from x = 0 to x = 4.
A. 32
B. 64
C. 96
D. 128
Question 4
A solid right circular cone has a height of 8 cm and a base radius of 4 cm. Find the volume of the cone in cubic centimeters.
A. 256\pi
B. 512\pi
C. 768\pi
D. 1024\pi
Question 5
A circle has a radius of 4 cm. Find the area of the circle.
A. 16\pi
B. 32\pi
C. 64\pi
D. 128\pi
Question 6
A bakery sells 250 loaves of bread per day. If they make a profit of ₦5 per loaf, how much profit do they make in a day?
A. ₦1250
B. ₦12500
C. ₦125000
D. ₦1250000
Question 7
A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability that it is blue?
A. \frac{1}{4}
B. \frac{1}{2}
C. \frac{3}{8}
D. \frac{3}{4}
Question 8
Solve for x in the equation \frac{x}{2} + 3 = 7.
A. 4
B. 6
C. 8
D. 10
Question 9
A solid cylinder has a radius of 4 cm and a height of 10 cm. Find its volume.
A. 800\pi
B. 1000\pi
C. 1200\pi
D. 1600\pi
Question 10
Let ( X ) be a random variable with probability density function ( f(x) = egin{cases} 2x, & 0 < x < 1 \ 0, & \text{otherwise} \end{cases} ). Find the probability that ( X ) takes a value between 0.2 and 0.8.
A. 0.4
B. 0.6
C. 0.8
D. 1.0
Question 11
Find the area under the curve y = 2x^2 + 3x - 4 from x = 0 to x = 2.
A. 10
B. 12
C. 14
D. 16
Question 12
Simplify the expression \frac{2x^2 + 3x - 4}{x + 2}
A. 2x - 1
B. 2x + 1
C. x + 2
D. x - 2
Question 13
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. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 14
Find the surface area of a sphere with radius 6 cm.
A. 288\pi
B. 288\pi + 36\pi
C. 288\pi - 36\pi
D. 288\pi + 72\pi
Question 15
The mean of a set of 5 numbers is 10. If 4 is added to each number, what is the new mean?
A. 8
B. 10
C. 12
D. 14

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