UNIVERSITY OF IBADAN POST-UTME QUESTIONS & ANSWERS

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

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