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 poly1Quadrilateral poly1: Polygon A, B, C, DTriangle poly2Triangle poly2: Polygon E, F, GCircle hCircle h: Circle through I with center HSegment aSegment a: Segment [A, B] of Quadrilateral poly1Segment bSegment b: Segment [B, C] of Quadrilateral poly1Segment cSegment c: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, A] of Quadrilateral poly1Segment gSegment g: Segment [E, F] of Triangle poly2Segment eSegment e: Segment [F, G] of Triangle poly2Segment fSegment f: Segment [G, E] of Triangle poly21text1 = “1”5text1_1 = “5”4text1_2 = “4”6text1_3 = “6”3text1_4 = “3”7text1_5 = “7”2text1_6 = “2”

The Rectangle, Triangle and Circle Overlap in Figure

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 poly1Triangle poly1: Polygon P, R, SCircle cCircle c: Circle through B with center ACircle dCircle d: Circle through D with center CCircle eCircle e: Circle through F with center ECircle fCircle f: Circle through H with center GCircle gCircle g: Circle through J with center ICircle kCircle k: Circle through O with center NCircle k_1Circle k_1: Circle through O_1 with center N_1Circle k_2Circle k_2: Circle through O_2 with center N_2Circle k_3Circle k_3: Circle through O_3 with center N_3Circle k_4Circle k_4: Circle through O_4 with center N_4Circle k_5Circle k_5: Circle through O_5 with center N_5Circle k_6Circle k_6: Circle through O_6 with center N_6Circle k_7Circle k_7: Circle through O_7 with center N_7Circle k_8Circle k_8: Circle through O_8 with center N_8Circle k_9Circle k_9: Circle through O_9 with center N_9Circle 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 sSegment s: Segment [P, R] of Triangle poly1Segment pSegment p: Segment [R, S] of Triangle poly1Segment rSegment r: Segment [S, P] of Triangle poly1Segment iSegment i: Segment [T, U] Segment jSegment j: Segment [V, W] Segment lSegment l: Segment [V, Z]

Image Shows the Many Circles in One Figure

Choices

Choice (4)Response

a.

17

b.

14

c.

16

d.

24

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