IMO- Mathematics Olympiad Class 7: Questions 283 - 287 of 1012

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Question number: 283

» Practical Geometry - Lines and Angles

MCQ▾

Question

ABC is an acute angled triangle. P, Q are the points on AB and AC respectively such that area of APC = area of AQB. A line is drawn through B parallel to AC and meets the line trough Q parallel to AB at S. QS cuts BC at R.

Choices

Choice (4) Response

a.

BR = RC

b.

RS = AP

c.

PC = BP

d.

AP = PC

Question number: 284

» Practical Geometry - Lines and Angles

MCQ▾

Question

I: Sum of the two complementary angles are 90°

II: Sum of two supplementary angles are 180°

Which of the following statement is true?

Choices

Choice (4) Response

a.

I and II are false

b.

Only II true

c.

Only I true

d.

I and II are true

Question number: 285

» Practical Geometry - Lines and Angles

MCQ▾

Question

In the figure, POQ, ROD and TOS are straight lines. Find y.

Image shows the POQ, ROD and TOS are straight lines

Image Shows the POQ, ROD and TOS Are Straight Lines

Different lines and angles are given find the x.

Choices

Choice (4) Response

a.

52°

b.

62°

c.

45°

d.

26°

Question number: 286

» Practical Geometry - Lines and Angles

MCQ▾

Question

In the figure, MNOP is a trapezium with MN parallel to PQ, MP=MO and QMO is a straight line. Find X.

Trapezium MNOP is given.

Trapezium MNOP Is Given.

Showing image of Trapezium PQRS in MN is parallel to PQ

Choices

Choice (4) Response

a.

73°

b.

80°

c.

90°

d.

95°

Question number: 287

» Practical Geometry - Lines and Angles

MCQ▾

Question

Two supplementary angles are in the ratio 13:23 , than the angles are

Choices

Choice (4) Response

a.

65°,115°

b.

82°,98°

c.

75°,105°

d.

80°,100°

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