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.

1,106.

A man bought a car for N800 and sold it for N520. Find his loss per cent

A.

15%

B.

25%

C.

35%

D.

10%

Correct answer is C

Percentage Loss = (actual loss ) ÷ (Cost price) × 100 Actual loss = Cost Price − Selling Price (sold price) = N800 − N520 = N280 Percentage loss = (280 ÷ 800) × 100 = 35% ∴ His loss percent = 35%

1,107.

If (159.75)10 = (x)6. Find x

A.

x6 = 123.346

B.

x6 = 424.56

C.

x6 = 122.436

D.

x6 = 124.456

Correct answer is B

(159.75)10 = (y)6

\( \begin{array}{c|c}
6 & 159 \\
\hline
6 & 26 \text{ rem 3} \\
6 & 4 \text{ rem 2} \\
& 0 \text{ rem 4} \\
\end{array}\uparrow \)

15910 = 4236

Then Convert 0.75 to base 6

0.75 x 6 =4.5 i.e 4.5 - 3.00 = 1.5
0.5 x 6 = 3.00 423 + 1.5 =424.5

159.75 = (424.5)6

(159)10 = (424.5)6

1,108.

The probability of an event A is 1/5. The probability of B is 1/3 . The probability both A and B is 1/15. What is the probability of either event A or B or both

A.

\( \frac{2}{15} \)

B.

\( \frac{3}{4} \)

C.

\( \frac{9}{15} \)

D.

\( \frac{1}{15} \)

Correct answer is C

No explanation has been provided for this answer.

1,109.

The volume of a cylinder whose height is 4cm and whose radius 5cm is equal to (π = 3.14)

A.

3.13cm2

B.

145cm2

C.

314cm2

D.

214cm2

Correct answer is C

“Explanation

V = πr2h

V = ?, h = 4cm, r = 5cm

V = 3.14(5)2 (4)

V = 3.14(25)(4)

V = 3.14 × 1200

= 314cm2

1,110.

Solve x2 − 2x − 3 = 0

A.

x = 2 or 1

B.

x = 3 or -1

C.

x = 1 or 0

D.

x = 1 or 2

Correct answer is B

x2 − 2x − 3 = 0

−3x + x = − 2x

− 3x × x = − 3x2

(x2 − 3x)(x − 3) = 0

(x − 3)(x + 1) = 0

Either (x − 3) = 0 or (x + 1) = 0

x = 3 or − 1