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2013-II-30

Posted on 16-06-2021 By app.cch No Comments on 2013-II-30
Ans: B
A may not be true. The proportion of the profit from the sales of pencils of $X$ and $Y$ are the same, not the actual amount the same.

B must be true. Note that the larger the angle at centre, the more the profit from the sales of the certain items.

$\begin{array}{rcl}
\theta & = & 360^\circ – 162^\circ-36^\circ -68^\circ – 60^\circ \\
& = & 34^\circ
\end{array}$

Therefore, the sum of the angle at centre of the profit from the sales of pens and notebooks is $94^\circ$. And the sum of the angle at centre of the profit from the sales of rulers and pencils is $104^\circ$. Therefore B must be true.

C is false.

$\begin{array}{rcl}
k\% & = & 100\% – 16\% – 46\% -10\% – 12\% \\
& = & 16\% \\
k & = & 16
\end{array}$

D is false. According to the argument in B, $\theta = 34^\circ$.

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2013, HKDSE-MATH, Paper 2 Tags:Statistics

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3D Problems (41) Basic Functions (13) Basic Geometry (68) Binomial Theorem (7) Change of Subject (32) Complex Numbers (16) Coordinates (46) Differentiation (16) Equations of Circle (54) Equations of Straight Line (43) Estimations and Errors (35) Factorization (39) Graph of Functions (3) Inequality (39) Integration (15) Laws of Indices (43) Linear Programming (21) Locus (13) Logarithm (34) Mathematical Induction (7) Matrices (4) Mensuration (98) Numeral System (19) Percentage (42) Polynomials (49) Probability (85) Properties of Circles (56) Quadratic Equations and Functions (57) Rate and Ratio (30) Rational Functions (20) Sequences (66) Simultaneous Linear Equations (27) Statistics (122) System of Linear Equations (3) Transformations (44) Trigonometry (M2) (7) Trigonometry and Its Applications (67) Variations (38) Vectors (3)

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