Post Utme Mathematics Past Questions and Answers

Question 451:

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 452:

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 453:

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 454:

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. \(15 \pi cm ^{2}\)

Question 455:

\(3 \log x+\log y=3\). Then. \(y\) is

A. \(\left(\frac{10}{x}\right)^{1}\)
B. \(\left(\frac{x}{10}\right)^{3}\)
C. \(\left(\frac{x}{10}\right)^{-3}\)
D. \(\left(\frac{10}{x}\right)^{1-\frac{1}{3}}\)