10
5
15
20
Correct answer is D
No explanation has been provided for this answer.
Express the product of 0.21 and 0.34 in standard form
7.14 x 10-3
7.14 x 10-2
7.14 x 10-1
7.14 x 10-4
Correct answer is B
0.21 x 0.34 = 0.0714
= 7.14 x 10-2
Rationalize \(\frac{2\sqrt{3} + \sqrt{5}}{\sqrt{5} - \sqrt{3}}\)
(3 √ 15 +11) / 2
3 √ 15 -11
(3 √ 15 -11) / 2
3 √ 15 +11
Correct answer is A
\(\frac{2\sqrt{3} + \sqrt{5}}{\sqrt{5} - \sqrt{3}}\)
= \((\frac{2\sqrt{3} + \sqrt{5}}{\sqrt{5} - \sqrt{3}})(\frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} + \sqrt{3}})\)
= \(\frac{2\sqrt{15} + 6 + 5 + \sqrt{15}}{5 - 3}\)
= \(\frac{3\sqrt{15} + 11}{2}\)
Evaluate \(\left(\frac{81}{16}\right)^{\frac{-1}{4}}\times 2^{-1}\)
1/3
3
6
1/6
Correct answer is A
\(\left(\frac{81}{16}\right)^{\frac{-1}{4}}\times 2^{-1}=\frac{1}{\left(\frac{81}{16}\right)^{\frac{1}{4}}}\times \frac{1}{2}\\
=\left(\frac{16}{81}\right)^{\frac{1}{4}}\times \frac{1}{2}\\
=\left(\frac{2}{3}\right)^{4\times \frac{1}{4}}\\
=\frac{2}{3}\times \frac{1}{2}\\
=\frac{1}{3}\)
| Marks | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| No. of students | 3 | 4 | 1 | 0 | 4 | 5 | 2 | 1 |
The table above shows the distribution of marks of students in a test. Find the probability of passing the test if the pass mark is 5?
| 3 |
| 5 |
| 2 |
| 5 |
| 7 |
| 20 |
| 1 |
| 5 |
Correct answer is A
Total number of students = 20
| Marks | No. of students |
| 5 | 0 |
| 6 | 4 |
| 7 | 5 |
| 8 | 2 |
| 9 | 1 |
| 12 |
| P(passing)= | 12 |
| 20 |
| = | 3 |
| 5 |