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.

2,731.

Evaluate \((111_{two})^2\) and leave your answer in base 2

A.

\(111001_{two}\)

B.

\(110001_{two}\)

C.

\(101001_{two}\)

D.

\(10010_{two}\)

Correct answer is B

\((111_{two})^{2}=(111_{two})(111_{two})\\
=1 \times 2^{2}+1\times2^{1}+1\times 2^{0}=4+2+1=7_{_{ten}}\\
(111_{two})^{2}=7\times 7=49\\
\begin{matrix}
2 & 49\\
2 & 24\hspace{1mm}R\hspace{1mm}1\\
2 & 12\hspace{1mm}R\hspace{1mm}0\\
2 & 6\hspace{1mm}R\hspace{1mm}0\\
2 & 3\hspace{1mm}R\hspace{1mm}0\\
2 & 1\hspace{1mm}R\hspace{1mm}1\\
& 0\hspace{1mm}R\hspace{1mm}1\hspace{1mm}\uparrow
\end{matrix} \\
=110001_{2}\)

2,732.

The figure shows a quadrilateral PQRS having equal sides and opposite sides parallel. The diagonals PR and QS intersect perpendicularly at O, Which of the following statements cannot be correct

A.

|PO|=|RO|

B.

PQR is an equilateral triangle

C.

PQRX is a parallelogram

D.

There are two lines of symmetry

Correct answer is B

No explanation has been provided for this answer.

2,733.

In the diagram, O is the center of the circle, ∠MON = 80o, ∠LMO = 10o and ∠LNO = 15o. Calculate the value of x

A.

40o

B.

50o

C.

55o

D.

75o

Correct answer is C

Reflex + ∠OML + ∠ONL + ∠NLM = 360
280o + 10o + 15o + x = 360o => 305o + xo = 360o
x = 360o - 305o = 55o

2,734.

The monthly salary of a man increased from N2,700 to N3,200. Find the percentage increase

A.

10%

B.

15%

C.

15.6%

D.

18.5%

Correct answer is D

\(\% increase = \frac{Increase}{initial\hspace{1mm} salary}\times 100\%\\
Increase=N3,200 - N2,700 = N500\\
Initial \hspace{1mm} salary=N2,700.00=\frac{N500}{N2,700}\times 100\% = 18.5\%\)

2,735.

Ladi sold a car for N84,000 at a loss of 4%. How much did ladi buy the car?

A.

80,500

B.

80,640

C.

87,360

D.

87,500

Correct answer is C

p>The car was sold at 96% ---- N84,000.00
The price of the car is 100% ---- ?
\(\frac{4}{100} \times \frac{84,000}{1}\);

 

= 3360

Car's price = 3360 + 84000

= 87360