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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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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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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Question

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

Quadrilateral poly1 Quadrilateral poly1: Polygon A_1, B, C, D Triangle poly2 Triangle poly2: Polygon A_1, A, D Triangle poly3 Triangle poly3: Polygon A, M, D Angle α Angle α: Angle between D, A_1, D’ Angle α Angle α: Angle between D, A_1, D’ Angle β Angle β: Angle between M, B, F’ Angle β Angle β: Angle between M, B, F’ Angle γ Angle γ: Angle between D, C, D’_1 Angle γ Angle γ: Angle between D, C, D’_1 Segment a Segment a: Segment [A_1, 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_1] of Quadrilateral poly1 Segment d_1 Segment d_1: Segment [A_1, A] of Triangle poly2 Segment a_1 Segment a_1: Segment [A, D] of Triangle poly2 Segment e Segment e: Segment [D, A_1] of Triangle poly2 Segment d_2 Segment d_2: Segment [A, M] of Triangle poly3 Segment e_1 Segment e_1: Segment [M, D] of Triangle poly3 Segment f Segment f: Segment [D, A] of Triangle poly3 Segment g Segment g: Segment [E_1, G] Segment h Segment h: Segment [E, I] Point A_1 A_1 = (4.32, -0.8) Point A_1 A_1 = (4.32, -0.8) Point B B = (4.32, -2.9) Point B B = (4.32, -2.9) Point B B = (4.32, -2.9) Point C C = (9.38, -2.9) Point C C = (9.38, -2.9) Point C C = (9.38, -2.9) Point D D = (9.38, -0.78) Point D D = (9.38, -0.78) Point D D = (9.38, -0.78) Point A A = (4.32,1.08) Point A A = (4.32,1.08) Point A A = (4.32,1.08) Point M Point M: Point on b Point M Point M: Point on b Point M Point M: Point on b Point E_1 E_1 = (4.36, -1.14) Point E_1 E_1 = (4.36, -1.14) Point G Point G: Point on c Point G Point G: Point on c Point E E = (4.06, -0.86) Point E E = (4.06, -0.86) Point E E = (4.06, -0.86) Point I I = (4.06, -2.96) Point I I = (4.06, -2.96) 6 cm text1 = “6 cm” 16 cm text2 = “16 cm”

Rectangle and Triangle

rectangle and triangle also, AE is half of BE, ED = 16 cm

Choices

Choice (4) Response

a.

16.27 cm

b.

12.44 cm

c.

17.36 cm

d.

15.65 cm