Evaluate \(\frac{1}{2}+\frac{3}{4}of\frac{2}{5}\div 1\frac{3}{5}\)
\(\frac{15}{16}\)
\(\frac{11}{16}\)
\(\frac{49}{50}\)
\(3\frac{1}{5}\)
Correct answer is B
\(\frac{1}{2} + (\frac{3}{4} \text{ of } \frac{2}{5}) \div 1\frac{3}{5}\)
= \(\frac{1}{2} + (\frac{3}{4} \times \frac{2}{5}) \div \frac{8}{5}\)
= \(\frac{1}{2} + \frac{3}{10} \div \frac{8}{5}\)
= \(\frac{1}{2} + (\frac{3}{10} \times \frac{5}{8})\)
= \(\frac{1}{2} + \frac{3}{16}\)
= \(\frac{11}{16}\)
The nth term of a sequence is \(2^{2n-1}\). Which term of the sequence is \(2^9?\)
3rd
4th
5th
6th
Correct answer is C
\(T_{n} = 2^{2n - 1}\)
\(2^{2n - 1} = 2^9\)
\(2n - 1 = 9 \implies 2n = 9 + 1\)
\(2n = 10 \implies n = 5\)
The 5th term = 2\(^9\)
Evaluate \(5\frac{2}{5}\times \left(\frac{2}{3}\right)^2\div\left(1\frac{1}{2}\right)^{-1}\)
\(\frac{8}{25}\)
\(\frac{12}{25}\)
\(3\frac{3}{5}\)
\(4\frac{1}{8}\)
Correct answer is C
\(5\frac{2}{5}\times \left(\frac{2}{3}\right)^2 ÷ \left(1\frac{1}{2}\right)^{-1}\\
\frac{27}{5}\times \frac{4}{9} \times \frac{3}{2}=3\frac{3}{5}
\)
95%
47.5%
5.26%
5%
Correct answer is D
The percentage error is \(\frac{error}{actual}\times \frac{100}{1}\%\\
=\frac{200-190}{200}\times \frac{100}{1}\\
=\frac{10}{200}\times \frac{100}{1}\% = 5\%\)
81
72
54
45
Correct answer is A
Ratio of good ones to bad ones is 5:4; If 36 is bad;
∴ the good ones = \(\frac{5\times 36}{4}=45\) oranges.
The total number of oranges is 36 + 45 = 81.