Obafemi Awolowo University Mathematics Post Utme Past Questions and Answers

Question 6 :

A business man invested a total of \(\# 200,000\) in two companies which paid dividends of \(5 \%\) and \(7 \%\) respectively. If he received a total of \(\# 11,600\) as dividend. how much did he invest at \(5 \%\) ?

A. #160.000
B. #140,000
C. #120,000
D. #80,000

Question 7 :

In a class. 37 students take at least one of Chemistry, Economics and Government. 8 students take Chemistry, 19 take Economics and 25 take Government. 12 students take Economics and Government but nobody takes Chemistry and Economics. How many students take both Chemistry and Government?

A. 3
B. 4
C. 5
D. 5

Question 8 :

Solve for \(p\) in the following equation given in base two \(11(p+110)=1001 p\)

A. 10
B. 11
C. 110
D. 111

Question 9 :

Factorize \(16(3 x+2 y)^{2}-25(a+2 b)^{2}\)

A. \((12 x+8 y+5 a+10 b)(12 x+8 y-5 a-10 b)\)
B. \((12 x+8 y-5 a-10 b)(12 x+8 y-5 a-10 b)\)
C. \(20(3 x+2 y-a-2 b)(3 x+2 y+a+2 b)\)
D. \(20(3 x+2 y+a+2 b)(3 x+2 y+a+2 b)\).

Question 10 :

A cone has base radius \(4 cm\) and height \(3 cm\). the area of its curved surface is

A. \(12 \pi cm ^{2}\)
B. \(24 \pi cm ^{2}\)
C. \(20 \pi cm ^{2}\)
D. \(15 \pi cm ^{2}\)