Geometry and Sets Exam Prep
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Geometry and Sets Exam Prep
Sample questions with model answers
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Set A has m elements and Set B has n elements. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of $|m^2 + n^2|$ is __.
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The value is 112.
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A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x% of the people read both the newspapers, then the number of possible values of x can be __. $(x \in N)$
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The number of possible values is 13.
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Suppose $A_1, A_2, ..., A_{30}$ are thirty sets each with five elements and $B_1, B_2, ..., B_n$ are n sets each with three elements such that $igcup_{i=1}^{30} A_i = igcup_{j=1}^{n} B_j = S$. If each element of S belongs to exactly ten of the $A_i$'s and exactly 9 of the $B_j$'s, then the value of n is __.
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The value of n is 50.
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Area of the pentagon whose vertices are (4,1), (3,6), (-5,1), (-3,-3), (-3,0) is __.
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The area is 36.
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