25
19
18
17
Correct answer is A
Let the three items be M, Y and P.
n{M ∩ Y} only = 4-3 = 1
n{M ∩ P) only = 5-3 = 2
n{ Y ∩ P} only = 2
n{M} only = 12-(1+3+2) = 6
n{Y} only = 10-(1+2+3) = 4
n{P} only = 14-(2+3+2) = 7
n{M∩P∩Y} = 3
Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.
240°
150°
60°
270°
Correct answer is A
Sinθ = \(\frac{6}{12}\)
Sinθ = \(\frac{1}{2}\)
θ = Sin\(^0.5\)
θ = 30°
Bearing of Z from X, (270 - 30)° = 240°
List all integers satisfying the inequality in -2 < 2x-6 < 4
2,3,4 and 5
2,3
2,5
3,4
Correct answer is D
-2 < 2x - 6 AND 2x - 6 < 4
-2 + 6 <2x AND 2x < 4 + 6
4 <2x AND 2x < 10
: 2
27
15
3.5
32
Correct answer is A
If log\(_9\)x = 1.5,
9\(^{1.5}\) = x
9^\(\frac{3}{2}\) = x
(√9)\(^3\) = 3
∴ x = 27
Factorize completely 81a\(^4\) - 16b\(^4\)
(3a + 2b)(2a - 3b)(9a2 + 4b2)
(3a - 2b)(2a - 3b)(4a2 - 9b2)
(3a - 2b)(3a + 2b)(9a2 + 4b2)
(6a - 2b)(8a - 3b)(4a3 - 9b2)
Correct answer is C
81a\(^4\) - 16b\(^4\) = (9a\(^2\))\(^2\) - (4b\(^2\))\(^2\)
= (9a\(^2\) + 4b\(^2\))(9a\(^2\) - 4b\(^2\))
N:B 9a\(^2\) - 4b\(^2\) = (3a - 2b)(3a + 2b)
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