IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 714 - 716 of 968

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Question number: 714

» Triangle, Circle & Constructions

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MCQ▾

Question

is right angled at Q. The radius of the incircle is________.

Triangle poly1 Triangle poly1: Polygon A, B, C Circle d Circle d: Circle through F with center O Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Segment f Segment f: Segment [B, D] Segment g Segment g: Segment [E, G] Segment h Segment h: Segment [G, H] Segment i Segment i: Segment [G, I] Segment j Segment j: Segment [G, J] P text1 = “P” Q text2 = “Q” R text3 = “R” M text4 = “M” O text5 = “O” r text6 = “r” r text7 = “r” r text8 = “r” 8cm text9 = “8cm” 6 cm text10 = “6 cm”

Triangle PQR is Right Angled

Triangle PQR is right angled at Q. QR = 6cm, PQ = 8cm

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 715

» Area, Surface Area & Volume

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Data Sufficieny▾

Question

What is the Weight of the iron beam?

Statements

  1. The beam is long, wide and high.

  2. Iron weights 50 kg per cubic meter.

Choices

Choice (4) Response

a.

Only statement Ⅱ is sufficient, while others are not sufficient.

b.

None of the statements are sufficient.

c.

Only statement Ⅰ is sufficient, while others are not sufficient.

d.

All of the statements are sufficient.

Question number: 716

» Area, Surface Area & Volume

Edit
Data Sufficieny▾

Question

What is the capacity of the cylindrical tank?

Statements

  1. The area of the base is

  2. The height of the tank is times the radius.

  3. The circumference of base is

Choices

Choice (4) Response

a.

Only statement Ⅰ is sufficient, while others are not sufficient.

b.

Both statement Ⅰ & statement Ⅱ are sufficient.

c.

Only statement Ⅲ is sufficient, while others are not sufficient.

d.

Both statement Ⅰ & statement Ⅲ are sufficient.