POST UTME DELSU 2017 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A set of numbers has a mean of 50 and a s\tandard deviation of 5. If 80% of the numbers fall within 2 s\tandard deviations of the mean, what percentage of the numbers fall within 1 s\tandard deviation of the mean?
A. ( 68 )
B. ( 72 )
C. ( 76 )
D. ( 80 )
Question 2
Find the sum of the first 10 terms of the geometric series 2, 6, 18, ...
A. 1240
B. 1245
C. 1250
D. 1255
Question 3
Determine the value of x in the equation \( \frac{1}{x} + \frac{1}{2x} = \frac{3}{4x} \).
A. 1
B. 2
C. 3
D. 4
Question 4
A box contains 5 red balls and 3 blue balls. If 2 balls are drawn at random, what is the probability that both balls are blue?
A. \( \frac{1}{4} \)
B. \( \frac{1}{2} \)
C. \( \frac{3}{4} \)
D. \( \frac{2}{3} \)
Question 5
In a random sample of 25 students, the mean height is 175 cm with a s\tandard deviation of 5 cm. If the mean height of the entire population is 180 cm, calculate the s\tandard error of the mean.
A. 2.5 cm
B. 3.5 cm
C. 4.5 cm
D. 5.5 cm
Question 6
A company produces 200 units of a product per day. If the \cost of production is ( C(x) = 2x^2 + 5x - 3 ), where ( x ) is the number of units produced, find the \cost of producing 250 units.
A. ₦1250
B. ₦1500
C. ₦1750
D. ₦2000
Question 7
Evaluate the definite integral \int_0^2 \( 2x + 1 \) dx.
A. 5
B. 6
C. 7
D. 8
Question 8
Find the area under the curve \( y = x^2 \) from \( x = 0 \) to \( x = 4 \).
A. 64
B. 128
C. 256
D. 512
Question 9
Solve for x in the equation \( \log_{10}\( x^2 \ \) = 4\).
A. 2
B. 4
C. 10
D. 20
Question 10
Find the value of ( x ) in the equation \( 2^x + 5^x = 10^x \).
A. \( x = 2 \)
B. \( x = 3 \)
C. \( x = 4 \)
D. \( x = 5 \)
Question 11
Solve for x in the equation \( \log_{10} \( x^2 \ \) = 4 ).
A. 10
B. 100
C. 1000
D. 10000
Question 12
Find the volume of the frustum of a cone with height 10cm, lower base radius 6cm, and upper base radius 4cm.
A. 200\pi cm^3
B. 300\pi cm^3
C. 400\pi cm^3
D. 500\pi cm^3
Question 13
Find the area under the curve \( y = \frac{1}{2}x^2 + 3x - 2 \) from \( x = 0 \) to \( x = 4 \).
A. \( \frac{1}{2} \)
B. ( 3 )
C. ( 4 )
D. ( 6 )
Question 14
Find the derivative of the function f(x) = 3x^2 + 2x - 5 u\sing the chain rule.
A. 6x + 2
B. 6x + 3
C. 6x - 2
D. 6x - 3
Question 15
Find the derivative of the function ( f(x) = \frac{1}{2}x^2 + 3x - 2 ) u\sing the chain rule.
A. \( x + 3 \)
B. \( x^2 + 3 \)
C. \( x^2 + 3x - 2 \)
D. \( x^2 + 3x + 2 \)

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