-4
-1
0
1
4
Correct answer is C
log 6 + log 2 - log 12
= \(\log (\frac{6 \times 2}{12})\)
= \(\log 1\)
= 0
The population of a village is 5846. Express this number to three significant figures
5850
5846
5840
585
584
Correct answer is A
5846 \(\approxeq\) 5850 (to 3 s.f.)
Express 0.0462 in standard form
0.462 x 10-1
0.462 x 10-2
4.62 x 10-1
4.62 x 10-2
4.62 x 103
Correct answer is D
4.62 x 10-2
Two groups of male students cast their vote on a particular proposal. The results are as follows:
| In favor | Against | |
| Group A | 128 | 32 |
| Group B | 96 | 48 |
If a student is chosen at random, what is probability that he is against the proposal?
3/19
4/19
5/19
9/19
10/19
Correct answer is C
Probability that the student is against the proposal
= \(\frac{32 + 48}{128 + 32 + 96 + 48}\)
= \(\frac{80}{304}\)
= \(\frac{5}{19}\)
Two groups of male students cast their votes on a particular proposal. The result are as follows:
| In favor | Against | |
| Group A | 128 | 32 |
| Group B | 96 | 48 |
If a student in favor of the proposal is selected for a post, what is the probability that he is from group A?
8/19
16/35
10/19
4/7
4/5
Correct answer is A
Probability that a student in favor is group A
= \(\frac{128}{128 + 32 + 96 + 48}\)
= \(\frac{128}{304}\)
= \(\frac{8}{19}\)