Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

2,781.

A Cooperative Society, charges an interest of 51/2% per annum on any amount borrowed by its members. If a member borrows N125,000, how much does he pay back after one year?

A.

N136875

B.

N131,875

C.

N126750

D.

N126250

Correct answer is B

The rate of interest charge = 51/2% p.a
The amount borrowed = N125, 000:00
Interest charge \(=\frac{11}{200} of N125,000\\
= 11 \times N625.00 = N6,875.00\)
The amount refunded by the member with interest charge by the cooperative society
N125,000+N6,875.00 = N131,875.00

2,782.

Given that p = 2, q = -5 and r = - 4, evaluate 3p2 - q2 - r3

A.

101

B.

77

C.

51

D.

-27

Correct answer is C

3(2)2 - (-5)2 - (-4)3
3(4) – (25) – (-64); 12 – 25 + 64 = 51

2,783.

The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes?

A.

4:5

B.

8:15

C.

6:125

D.

8:125

Correct answer is D

The ratio of the two cubes = 2:5
Volume of the two cubes = 2\(^3\) : 5\(^3\) = 8 : 125

2,785.

Given that \(P\propto \frac{1}{\sqrt{r}}\) and p = 3 when r = 16, find the value of r when p = 3/2

A.

48

B.

64

C.

72

D.

324

Correct answer is B

\(P \propto \frac{1}{\sqrt{r}} P=3\hspace{1mm}r=16\\
P = \frac{k}{\sqrt{r}}\Rightarrow 3 = \frac{k}{\sqrt{16}}\Rightarrow \frac{3}{1} = \frac{k}{4} \\ \Rightarrow K = 12 \Rightarrow K = 12; P\sqrt{r} = k \Rightarrow \sqrt{r} = \frac{k}{p}\\
r = \frac{(k)^2}{P}=12^2 \div \frac{3}{2}=\left(\frac{12}{1}\times \frac{2}{3}\right)=8^2\\
r = 64\)