CRE 10 - Geometry based questions | Modern Math - Permutation & Combination
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Answer the next 2 questions based on the information given:
Out of 15 points on a plane 5 are collinear, except which no other set of 3 points is collinear. By joining these points:
How many straight lines can be formed?
Answer: 96
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How many triangles can be formed?
Answer: 445
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Answer the next 4 questions based on the information given:
In the given 8 × 8 grid:
Find the number of squares.
Answer: 204
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Find the number of rectangles.
Answer: 1296
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Find the number of ways in which a person can travel from A to C, if the person can only travel on a grid line either towards the right or upwards.
- (a)
16!
- (b)
- (c)
16C8
- (d)
None of these
Answer: Option B
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Find the number of ways in which a person can travel from A to B via C, if the person can only travel on a grid line either towards the right or upwards.
- (a)
- (b)
- (c)
8! × 8!
- (d)
None of these
Answer: Option A
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Find the number of ways in which a person can travel from A to B without going via C, if the person can only travel on a grid line either towards the right or upwards.
- (a)
- (b)
16! - 8!
- (c)
- (d)
None of these
Answer: Option C
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Answer the next 2 questions based on the information given:
There are 10 straight lines on a plane. Find the
Minimum number of bounded and unbounded regions on the plane.
- (a)
0 and 0
- (b)
0 and 11
- (c)
10 and 11
- (d)
None of these
Answer: Option B
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Maximum number of total regions on the plane.
Answer: 56
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Minimum number of bounded and unbounded regions on the plane.
- (a)
10 and 36
- (b)
28 and 28
- (c)
36 and 20
- (d)
None of these
Answer: Option C
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