UNIVERSITY OF IBADAN, IBADAN, POST-UTME QUESTIONS & ANSWERS
MATHEMATICS
1. \((1.28 \times 10^4) \div (6.4 \times 10^2)\) equals
– (A) \(2 \times 10^-5\)
– (B) \(2 \times 10^-1\)
– (C) \(2 \times 10^0\)
– (D) \(2 \times 10^{1}\)
– (E) \(2 \times 10^5\)
2. A man and wife went to buy an article costing ₦400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether?
– (A) ₦216
– (B) ₦200
– (C) ₦184
– (D) ₦144
– (E) ₦100
3. Add the same number to the numerator and denominator of \(\frac{3}{18}\). If the resulting fraction is \(\frac{1}{2}\), then the number added is
– (A) 13
– (B) 14
– (C) 15
– (D) 12
– (E) 11
4. After getting a rise of 15%, a man’s new monthly salary is ₦345. How much per month did he earn before the increase?
– (A) ₦330
– (B) ₦396.75
– (C) ₦300
– (D) ₦293.25
– (E) ₦360
5. Assuming \(\log_e 4.4 = 1.4816\) and \(\log_e 7.7 = 2.0142\), then the value of \(\log_e \frac{1}{4}\) is
– (A) 0.5326
– (B) 3.4958
– (C) 0.4816
– (D) 0.0142
– (E) 1.3594
6. Evaluate \((2^0 + 4^{-1/2})^2\)
– (A) 1/4
– (B) 5/4
– (C) 9/4
– (D) 4
– (E) 9
7. Evaluate correct to 4 decimal places 827.51 \(\times\) 0.015
– (A) 8.81
– (B) 12.4127
– (C) 124.1265
– (D) 12.4120
– (E) 114.1265
8. Express 130 kilometers per second in meters per hour.
– (A) 7.8 \(\times\) 10\(^8\)
– (B) 468 \(\times\) 10\(^6\)
– (C) 7,800,000
– (D) 4.68 \(\times\) 10\(^6\)
– (E) 780 \(\times\) 10\(^6\)
9. Find the square root of 170-20\(\sqrt{30}\)
– (A) 2\(\sqrt{10}-5\)
– (B) 3\(\sqrt{5}-8\sqrt{6}\)
– (C) 2\(\sqrt{5}-\sqrt{6}\)
– (D) 5\(\sqrt{2}-6\)
– (E) 5\(\sqrt{10}-2\sqrt{3}\)
10. If (25)\(^x-1\) = (64(5/2\(^6\)), then k has the value
– (A) 7
– (B) 4
– (C) 32
– (D) 64
– (E) 5
11. If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, in what ratio is the surface area reduced?
– (A) 8:15
– (B) 2:5
– (C) 8:25
– (D) 4:25
– (E) 4:10
12. In base ten, the number 101101 (base 2) equals
– (A) 15
– (B) 4
– (C) 45
– (D) 32
– (E) 90
13. Simplify \(\frac{5^x-25^{x-1}}{125^x+1}\)
– (A) \(5^{x-1}\)
– (B) \(5^{x+2}\)
– (C) 5\(^5\)
– (D) 5\(^x+1\)
– (E) 5\(^3\)
14. Simplify \(\frac{(a-1/a)({a^{3+1/2a}}}{(a^2-1/a^2)}\)
– (A) \(a^{2/3}\)
– (B) \(a^{-1/3}\)
– (C) \(a^2+1\)
– (D) \(a\)
– (E) \(a^{1/3}\)
15. Simplify \(\frac{f^1/g^2h^1/3+f^5/g^2h^7/3}{f^{5/4}g^1h^{7/9}}\)
– (A) \(\frac{g^2/f^3h^7}\)
– (B) \(\frac{1/f^2h^2}\)
– (C) \(\frac{f^3/g^1h^3}\)
– (D) \(\frac{f/g^1h^2}\)
– (E) \(\frac{h^2/g^1f}\)
16. Simplify \(\frac{5}{12}-\frac{1}{8}\times\frac{7}{5}\)
– (A) \(1/6\)
– (B) \(1/30\)
– (C) \(11/60\)
– (D) \(9/4\)
– (E) \(5/3\)
17. Solve the system of equations: 2x+y=32, 33y= x-7
– (A) (3,2)
– (B) (-3,2)
– (C) (11/32, 1)
– (D) (3,-2)
– (E) (-3,-2)
18. The annual profits of a transport business were divided between the two partners A and B in the ratio 3:5. If B receives ₦3,000 more than A, the total profit was:
– (A) ₦45,000
– (B) ₦1,800
– (C) ₦12,000
– (D) ₦24,000
– (E) ₦8,000
19. The diameter of a metal rod is measured as 23.40cm to four significant figures. What is
Below is the video of step by step solution to all questions above
Leave a Reply