Simplify: \((2\frac{1}{6} - 1\frac{2}{3}) \div 2\frac{2}{3}\).
3/16
7/16
1 13/24
2 11/24
10 2/5
Correct answer is A
\((2\frac{1}{6} - 1\frac{2}{3}) \div 2\frac{2}{3}\)
= \((\frac{13}{6} - \frac{5}{3}) \div \frac{8}{3}\)
= \(\frac{3}{6} \times \frac{3}{8}\)
= \(\frac{3}{16}\)
Convert the decimal number 89 to a binary number
101101
111001
1001001
1001101
1011001
Correct answer is E
No explanation has been provided for this answer.
The 6th term of a G.P is \(\frac{-2}{27}\) and its first term is 18. What is the common ratio?
-1/2
-1/3
1/4
2
3
Correct answer is B
a, ar, ar\(^2\), ar\(^3\), ar\(^4\), ar\(^5\)
6th term = ar\(^5\) = \(\frac{-2}{27}\)
1st term = a = 18
=> ar\(^5\)
= 18r\(^5\) =\(\frac{-2}{27}\)
r\(^5\) = \(\frac{-2}{27 * 18}\)
→ \(\frac{-1}{27 * 9}\)
r\(^5\) = \(\frac{-1}{243}\)
r = \(^5\)√[\(\frac{-1}{243}\)]
r = \(\frac{-1}{3}\)
2/13
5/13
5/11
5/6
11/13
Correct answer is B
2r, 6w, 5b balls Total balls = 2 + 6 + 5 = 13 balls p(black) = 5/13
1/12
5/ 36
1/ 6
1/4
5/18
Correct answer is C
No explanation has been provided for this answer.