IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 283 - 289 of 1022

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Question 283

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Question

MCQ▾

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.AP = PC
b.RS = AP
c.PC = BP
d.BR = RC

Question 284

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Question

MCQ▾

I: Sum of the two complementary angles are

II: Sum of two supplementary angles are

Which of the following statement is true?

Choices

Choice (4)Response
a.I and II are true
b.Only I true
c.I and II are false
d.Only II true

Question 285

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Question

MCQ▾

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

Loading image

Choices

Choice (4)Response
a.45°
b.
c.52°
d.

Question 286

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Question

MCQ▾

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

Trapezium MNOP is given.

Trapezium MNOP is Given

Loading image

Choices

Choice (4)Response
a.
b.
c.
d.

Question 287

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Question

MCQ▾

Two supplementary angles are in the ratio , than the angles are

Choices

Choice (4)Response
a.
b.
c.
d.

Question 288

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Statement

True-False▾

The bisectors of the angles of a linear pair are at right angles.

Question 289

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Question

MCQ▾

A point P is taken within a rhombus ABCD such that PA = PC. Show that B, P, D are collinear.

Choices

Choice (4)Response
a.B, A, D are collinear
b.B, C, D are collinear
c.A, P, D are collinear
d.B, P, D are collinear