If log104 = 0.6021, evaluate log1041/3
0.3011
0.9021
1.8063
0.2007
Correct answer is D
log1041/3 = 1/3 log104
= 1/3 x 0.6021
= 0.2007
Simplify \(\frac{3^{-5n}}{9^{1-n}} \times 27^{n + 1}\)
32
33
35
3
Correct answer is D
\(\frac{3^{-5n}}{9^{1-n}} \times 27^{n + 1}\)
\(\frac{3^{-5n}}{3^{2(1-n)}} \times 3^{3(n + 1)}\)
\(3^{-5n} \div 3^{2(1-n)} \times 3^{3(n + 1)}\)
\(3^{-5n - 2(1-n) + 3(n + 1)}\)
\(3^{-5n - 2 + 2n + 3n + 3}\)
\(3^{-5n + 5n + 3 - 2}\)
\(3^{1}\)
= 3
Calculate the time taken for N3000 to earn N600 if invested at 8% simple interest
2\(\frac{1}{2}\) years
3 years
3\(\frac{1}{2}\) years
1\(\frac{1}{2}\) years
Correct answer is A
Using \(S.I =\frac{P \times T \times R}{100}\)
\(600 =\frac{3000 \times T \times 8}{100}\)
\(T =\frac{600 \times 100}{3000 \times 8}\)
\(\frac{20}{8}\)
= 2\(\frac{1}{2}\) years
Evaluate \(\frac{1.25 \times 0.025}{0.05}\), correct to 1 decimal place
0.6
6.2
6.3
0.5
Correct answer is A
\(\frac{1.25 \times 0.025}{0.05}\)
\( = \frac{125 \times 10^{-2} \times 25 \times 10^{-3}}{5 \times 10^{-2}}\)
= 125 x 5 x 10-3
= 625 x 0.001
= 0.625
= 0.6 Approx to 1 d.p.
36
24
16
38
Correct answer is C
The sum, S of ratio is S = 5 + 3 + 2 = 10.
But highest share = \(\frac{5}{10} \times T\), where T is the total number of apples.
Thus, \(40 = \frac{5}{10} \times T\),
given 40 x 10 = 5T,
\(T = \frac{40 \times 10}{5} = 80\)
Hence the smallest share = \(\frac{2}{10} \times 80\)
= 16 apples