IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 894 - 896 of 968

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Question number: 894

» Real Numbers

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MCQ▾

Question

There are two examination rooms P and Q. If 10 candidates are sent from P to Q, the number of students in each room is the same. If 20 candidates are sent from Q to P, the number of students in P is double the number of students in Q. Find the number of students in each room.

Choices

Choice (4)Response

a.

P = 100, Q = 80

b.

P = 95, Q = 70

c.

P = 60, Q = 40

d.

P = 110, Q = 60

Question number: 895

» Real Numbers

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MCQ▾

Question

A group of girls planned a picnic. The budget for food was Due to illness, 10 girls could not go to the picnic and cost of food for each girl increased by . How many girls had planned the picnic?

Choices

Choice (4)Response

a.

50

b.

60

c.

57

d.

65

Question number: 896

» Trigonometry & Applications

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MCQ▾

Question

In the adjoining figure, M is the midpoint of BC and AE is half of BE, then AD is________.

Quadrilateral poly1Quadrilateral poly1: Polygon A_1, B, C, DTriangle poly2Triangle poly2: Polygon A_1, A, DTriangle poly3Triangle poly3: Polygon A, M, DAngle αAngle α: Angle between D, A_1, D’Angle αAngle α: Angle between D, A_1, D’Angle βAngle β: Angle between M, B, F’Angle βAngle β: Angle between M, B, F’Angle γAngle γ: Angle between D, C, D’_1Angle γAngle γ: Angle between D, C, D’_1Segment aSegment a: Segment [A_1, 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_1] of Quadrilateral poly1Segment d_1Segment d_1: Segment [A_1, A] of Triangle poly2Segment a_1Segment a_1: Segment [A, D] of Triangle poly2Segment eSegment e: Segment [D, A_1] of Triangle poly2Segment d_2Segment d_2: Segment [A, M] of Triangle poly3Segment e_1Segment e_1: Segment [M, D] of Triangle poly3Segment fSegment f: Segment [D, A] of Triangle poly3Segment gSegment g: Segment [E_1, G] Segment hSegment h: Segment [E, I] Point A_1A_1 = (4.32, -0.8) Point A_1A_1 = (4.32, -0.8) Point BB = (4.32, -2.9) Point BB = (4.32, -2.9) Point BB = (4.32, -2.9) Point CC = (9.38, -2.9) Point CC = (9.38, -2.9) Point CC = (9.38, -2.9) Point DD = (9.38, -0.78) Point DD = (9.38, -0.78) Point DD = (9.38, -0.78) Point AA = (4.32,1.08) Point AA = (4.32,1.08) Point AA = (4.32,1.08) Point MPoint M: Point on bPoint MPoint M: Point on bPoint MPoint M: Point on bPoint E_1E_1 = (4.36, -1.14) Point E_1E_1 = (4.36, -1.14) Point GPoint G: Point on cPoint GPoint G: Point on cPoint EE = (4.06, -0.86) Point EE = (4.06, -0.86) Point EE = (4.06, -0.86) Point II = (4.06, -2.96) Point II = (4.06, -2.96) 6 cmtext1 = “6 cm”16 cmtext2 = “16 cm”

Rectangle and Triangle

Choices

Choice (4)Response

a.

16.27 cm

b.

12.44 cm

c.

17.36 cm

d.

15.65 cm

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