# IMO Level 2- Mathematics Olympiad (SOF) Class 9: Questions 104 - 108 of 109

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## Question 104

Appeared in Year: 2013

### Question

MCQ▾

In a triangle ABC, O is the centre of in circle PQR, ∠ BAC = 65°, ∠ BCA = 75°, find ∠ ROQ.

### Choices

Choice (4)Response

a.

Can ′ t be determined

b.

c.

d.

## Question 105

Appeared in Year: 2013

### Question

MCQ▾

In a shop, the items were arranged in a shelf consisting of six rows. Biscuits are arranged above the tins of chocolates but below the rows of packets of chips, cakes are at the bottom, and the bottles of peppermints are below the tins of chocolates. The topmost row had the display of jam bottles. Where exactly are the bottles of peppermints? Mention the place from the top.

### Choices

Choice (4)Response

a.

3rd

b.

4th

c.

5th

d.

2nd

## Question 106

Appeared in Year: 2013

### Question

MCQ▾

Which least number must be subtracted from 9999999 so that it will become the multiple of 125?

### Choices

Choice (4)Response

a.

24

b.

4

c.

124

d.

None of the above

## Question 107

Appeared in Year: 2013

### Question

MCQ▾

A rationalizing factor of is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 108

Appeared in Year: 2013

### Question

MCQ▾

In the following diagram, the circle represents ‘College Professors’ , the triangle represents ‘Surgical Specialists’ , and rectangle represents ‘Medical Specialists’ .

What does B represent?

### Choices

Choice (4)Response

a.

Professors who are neither Medical nor Surgical Specialists.

b.

Medical Specialists who are neither Professors nor Surgical Specialists.

c.

Professors who are not Surgical Specialists.

d.

Professors who are not Medical Specialists.