POST UTME UI 2020 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Two events, A and B, are indep\endent. The probability of event A occurring is 0.4, and the probability of event B occurring is 0.6. Find the probability that both events A and B occur.
A. 0.2
B. 0.4
C. 0.6
D. 0.8
Question 2
A vector ( mathbf{a} ) is defined by \( mathbf{a} = egin{bmatrix} 1 \ 2 \ 3 \end{bmatrix} \). Find the magnitude of ( mathbf{a} ).
A. 1
B. 2
C. 3
D. 4
Question 3
A rec\tangular box has dimensions 5 cm, 8 cm, and 3 cm. Find the volume of the box in cubic centimeters.
A. 100 cm^3
B. 120 cm^3
C. 150 cm^3
D. 200 cm^3
Question 4
In a right-angled triangle, the length of the hypotenuse is 10cm and one of the other sides is 6cm. Find the length of the third side.
A. 8cm
B. 12cm
C. 14cm
D. 16cm
Question 5
Find the value of x in the equation \( 2x^2 + 5x - 3 = 0 \).
A. 1
B. -1
C. 2
D. -2
Question 6
In a base 8 number system, what is the value of the digit $x$ in the number $x_{8} = 105_{10}$?
A. 3
B. 5
C. 7
D. 9
Question 7
Solve for x in the equation: 2x^2 + 5x - 3 = 0
A. x = -1
B. x = 1
C. x = -3
D. x = 3
Question 8
A binary operation ( ast ) is defined as \( a ast b = a^2 + b^2 \). Find the value of ( 2 ast 3 ).
A. 13
B. 15
C. 17
D. 19
Question 9
Solve for y in the equation \( \frac{y}{2} + 3 = 7 \).
A. 8
B. 10
C. 12
D. 14
Question 10
A cylindrical \tank with a radius of 7m and a height of 10m is filled with water. Find the volume of water in the \tank.
A. 490π m³
B. 4900π m³
C. 49000π m³
D. 490000π m³
Question 11
Find the derivative of the function ( f(x) = 3x^2 \sin x ) u\sing the product rule.
A. 6x \sin x + 3x^2 \cos x
B. 6x \cos x + 3x^2 \sin x
C. 6x \sin x - 3x^2 \cos x
D. 6x \cos x - 3x^2 \sin x
Question 12
Solve the system of equations u\sing matrices: \[ \begin{array}{ccc} x + y + z & = & 6 2x + 3y + z & = & 11 x + 2y + 3z & = & 7 \end{array} \]
A. \begin{array}{ccc} x & = & 1 \ y & = & 2 \ z & = & 3 \end{array}
B. \begin{array}{ccc} x & = & 2 \ y & = & 1 \ z & = & 3 \end{array}
C. \begin{array}{ccc} x & = & 1 \ y & = & 3 \ z & = & 2 \end{array}
D. \begin{array}{ccc} x & = & 3 \ y & = & 2 \ z & = & 1 \end{array}
Question 13
A line passes through the points (2, 3) and (4, 5). Find the equation of the line.
A. y = 2x - 1
B. y = 2x + 1
C. y = 3x - 1
D. y = 3x + 1
Question 14
A circle has a radius of 4 cm. Find the area of the circle.
A. 50.24
B. 100.48
C. 200.96
D. 251.2
Question 15
A binary operation ( ast ) on the set ( mathbb{R} ) is defined by \( a ast b = a^2 + b^2 \). Find the value of ( 2 ast 3 ).
A. 13
B. 14
C. 15
D. 16

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: