IMO Level 1- Mathematics Olympiad (SOF) Class 4: Questions 458 - 459 of 614

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Question number: 458

» Geometry

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MCQ▾

Question

In the given figure, a rectangle, triangle and circle overlap and the different regions formed are numbered 1 to 7. For example, region 1 is in the circle but not in the rectangle or triangle. How many numbers are exactly in the three regions?

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Triangle poly2 Triangle poly2: Polygon E, F, G Circle h Circle h: Circle through I with center H Segment a Segment a: Segment [A, B] of Quadrilateral poly1 Segment b Segment b: Segment [B, C] of Quadrilateral poly1 Segment c Segment c: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, A] of Quadrilateral poly1 Segment g Segment g: Segment [E, F] of Triangle poly2 Segment e Segment e: Segment [F, G] of Triangle poly2 Segment f Segment f: Segment [G, E] of Triangle poly2 1 text1 = “1” 5 text1_1 = “5” 4 text1_2 = “4” 6 text1_3 = “6” 3 text1_4 = “3” 7 text1_5 = “7” 2 text1_6 = “2”

The Rectangle, Triangle and Circle Overlap in Figure

Showing image of the rectangle, triangle and circle overlap and regions 1 to 7 can be formed

Choices

Choice (4) Response

a.

4

b.

1

c.

3

d.

6

Question number: 459

» Geometry

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MCQ▾

Question

How many circles are there in the given figure?

Triangle poly1 Triangle poly1: Polygon P, R, S Circle c Circle c: Circle through B with center A Circle d Circle d: Circle through D with center C Circle e Circle e: Circle through F with center E Circle f Circle f: Circle through H with center G Circle g Circle g: Circle through J with center I Circle k Circle k: Circle through O with center N Circle k_1 Circle k_1: Circle through O_1 with center N_1 Circle k_2 Circle k_2: Circle through O_2 with center N_2 Circle k_3 Circle k_3: Circle through O_3 with center N_3 Circle k_4 Circle k_4: Circle through O_4 with center N_4 Circle k_5 Circle k_5: Circle through O_5 with center N_5 Circle k_6 Circle k_6: Circle through O_6 with center N_6 Circle k_7 Circle k_7: Circle through O_7 with center N_7 Circle k_8 Circle k_8: Circle through O_8 with center N_8 Circle k_9 Circle k_9: Circle through O_9 with center N_9 Circle k_ {10} Circle k_ {10}: Circle through O_ {10} with center N_ {10} Circle k_ {11} Circle k_ {11}: Circle through O_ {11} with center N_ {11} Segment s Segment s: Segment [P, R] of Triangle poly1 Segment p Segment p: Segment [R, S] of Triangle poly1 Segment r Segment r: Segment [S, P] of Triangle poly1 Segment i Segment i: Segment [T, U] Segment j Segment j: Segment [V, W] Segment l Segment l: Segment [V, Z]

Image Shows the Many Circles in One Figure

Find the circles in figure

Choices

Choice (4) Response

a.

17

b.

14

c.

16

d.

24