Simplify (3/4 + 1/3) x 4(1/3) ÷ 3(1/4)
1/2
13/12
10/9
17/12
13/9
Correct answer is E
(3/4 + 1/3) x 4(1/3) \(\div\) 3(1\4)
\(\begin{pmatrix} 9 + 4 \\ 12 \end{pmatrix}\) x \(\frac{13}{3}\) * \(\frac{4}{13}\)
= 9/4 or 1(4/9)
Let U = {1, 2, 3, 4}, P = {2, 3} and Q = {2, 4}. What is (P∩Q)'?
(1, 2, 3)
(1, 3, 4)
(2, 3)
(1, 3)
(1, 4)
Correct answer is B
U = {1,2,3,4}; P = {2,3}; Q = {2,4}; P∩Q = {2} (P∩Q)' = {1,3,4}
In the diagram above , |AD| = 10cm, |DC| = 8cm and |CF| = 15cm. Which of the following is correct?
Area BCF = Area DCF
Area ADE = Area ADF
Area ADE = Area DCFE
Area CBF = Area DABC
Area DABO = Area CFEO
Correct answer is E
No explanation has been provided for this answer.
24cm2
48cm2
80cm2
96cm2
120cm2
Correct answer is B
Area of \(\Delta\)DCF = 24cm2
Area of Quad= 2 x 24 = 48cm2
1:3
1:6
1:9
2:3
4:9
Correct answer is C
Let the radius of the arc PQ = r and the radius of the arc XY = R.
Length of arc PQ = \(\frac{\theta}{360} \times 2\pi r = 1\)
Length of arc XY = \(\frac{\theta}{360} \times 2\pi R = 3\)
Ratio of the arc = \(\frac{r}{R} = \frac{360 \times 2\pi \theta}{2\pi \theta \times 360 \times 3}\)
= \(\frac{1}{3}\)
Ratio of their area = \((\frac{1}{3})^2 = \frac{1}{9}\)
= 1 : 9
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