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Question

Fig 1 and Fig 2 show an equilateral triangle divided into thirds and quarters respectively. They are combined in Fig 3. Calculate the fraction of Fig 3 that is shaded.

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A
712
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B
512
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C
524
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D
1124
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Solution

The correct option is D 524
In fig 1, the figure is divided into three equal parts . So, the value of each part is 13
In fig 2, the figure is divided into four equal parts. So, the value of each part is 14
Now, in figure 3, value of shaded region is
=14×12+13×14=18+112=524
So, correct answer is option C.

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