IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 794 - 799 of 968

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Question 794

Question

MCQ▾

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

Triangle ABC is Right Angled

Choices

Choice (4)Response

a.

b.

c.

d.

Question 795

Question

MCQ▾

O is the center of a circle of diameter and is a square, if the shaded area is area of the square, then the side of square is________.

Image Showing the Circle and Square

Choices

Choice (4)Response

a.

b.

c.

d.

Question 796

Question

MCQ▾

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

Triangle MNO is Right Angled

Choices

Choice (4)Response

a.

b.

c.

d.

Question 797

Question

MCQ▾

is a line segment of length O is the mid-point of Circle are drawn with M, O and N as centers and radii (see figure) . The area of the colored portion (in ) is________.

Trapezoid and Semi-Circle

Choices

Choice (4)Response

a.

b.

c.

d.

Question 798

Question

MCQ▾

The areas of two concentric circles are and respectively. The width of the ring is________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question 799

Question

Data Sufficiency▾

What is the length of the iron beam?

Statements

  1. The volume of iron beam is also the beam is long, wide.

  2. Iron width of iron beam is 5 meter.

Choices

Choice (4)Response

a.

All of the statements are sufficient.

b.

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

c.

None of the statements are sufficient.

d.

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