N43,200.00
N43,000.00
N42,200.00
N40,000.00
Correct answer is A
let the total amount be Nx i.e (\(\frac{1}{4}\))x + (\(\frac{1}{3}\))x + 72,000 = x
\(\frac{x}{4} + \frac{x}{4} + 72,000 = x\)
\(\frac{3x + 4x + 86,400}{12} = x\)
cross multiply to clear fraction
12x = 3x + 4x + 86,400
12x - 7x = 86,400
5x = 86,400
x - \(\frac{86,400}{5}\) = 172,800
amount spent on food = \(\frac{1}{4} \times 172,800\)
= N43,200
If p = {prime factors of 210} and Q = {prime less than 10}, find p \(\cap\) Q
{1,2, 3}
{2, 3, 5}
{1, 3, 5,7}
{2,3,5,7}
Correct answer is D
prime factor of 210 = 2, 3, 5, 7
prime numbers less than 10 = 2, 3, 5 , 7
Express 3 - [\(\frac{x - y}{y}\)] as a single fraction
\(\frac{3xy}{y}\)
\(\frac{x - 4y}{y}\)
\(\frac{4y - x}{y}\)
3 - \(\frac{x - y}{y}\)
Correct answer is C
(\(\frac{x -y}{y}\)); \(\frac{3}{1} - \frac{x y}{y}\)
= \(\frac{3y - (x - y)}{y}\)
= \(\frac{3y - x + y}{y}\)
= \(\frac{4y - x}{y}\)
If x + 0.4y = 3 and y = \(\frac{1}{2}\)x, find the value of (x + y)
1\(\frac{1}{4}\)
2\(\frac{1}{2}\)
3\(\frac{3}{4}\)
5
Correct answer is C
x + 0.4y = 3...(i)
y = \(\frac{1}{2}\)x
x = 2y
x - 2y = 0....(ii)
solve simultaneously; x + 0.4y
= 3 - x - 2y = 0
2.4 = 3
y = \(\frac{3 \times 10}{2.4 \times 10} \)
= \(\frac{30}{24} = \frac{5}{4}\)
x - 2(\(\frac{5}{4}\)) = 0
x - \(\frac{5}{2}\) = 0
x = \(\frac{5}{2}\)
x + y = \(\frac{5}{2} + \frac{5}{4}\)
\(\frac{10 + 5}{4} = \frac{15}{4}\)
= 3\(\frac{3}{4}\)
Which of these statements about y = 8\(\sqrt{m}\) is correct?
log y = log 8 x log \(\sqrt{m}\)
log y = 3 log 2 x \(\frac{1}{2}\) log m
log y = 3 log 2 - \(\frac{1}{2}\) log m
log y = 3 log 2 + \(\frac{1}{2}\) log m
Correct answer is D
y = 8\(\sqrt{m}\); log y = log 8\(\sqrt{m}\)
log y = log 8 + log \(\sqrt{m}\)
log y = log 23 + log m\(\frac{1}{2}\)
log y = 3 log 3 + \(\frac{1}{2}\) log m