387
493
502
441
634
Correct answer is C
Possible multiples of 8 and 9 = 72, 144, 216, 288, 360, 432, 576, 648.
\(\frac{387}{8}\) has remainder = 3; \(\frac{387}{9}\) has remainder 0.
\(\frac{493}{8}\) has remainder 5; \(\frac{493}{9}\) has remainder 7.
\(\frac{502}{8}\) has remainder 6; \(\frac{502}{9}\) has remainder 7.
\(\frac{441}{8}\) has remainder 1; \(\frac{441}{9}\) has remainder 0.
\(\frac{634}{8}\) has remainder 2; \(\frac{634}{9}\) has remainder 4.
Hence 502 is the answer.
13
14
15
12
11
Correct answer is D
No explanation has been provided for this answer.
2
4
\(\sqrt{10}\)
35
2.2
Correct answer is C
a = 2i - 3j - 3i + 6j
= -i + 3j
= \(\sqrt{5 \times 2}\)
= \(\sqrt{10}\)
3 + \(\sqrt{3}\)
5 + \(\sqrt{3}\)
3 - \(\sqrt{3}\)
1
\(\sqrt{3}\) - 1
Correct answer is D
No explanation has been provided for this answer.
Evaluate without using tables sin(-1290º)
\(\frac{3}{2}\)
-\(\frac{3}{2}\)
\(\frac{2}{2}\)
1
\(\frac{1}{2}\)
Correct answer is E
sin(-1290º) = -sin(1290º)
sin([3*360] + 210)
where sin 360 = 0 and sin 210 = 180 + 30 ⇔ -30º
-sin ([3* 0] + [-30])
-sin(-30)
sin30 = \(\frac{1}{2}\)