# IMO Level 2- Mathematics Olympiad (SOF) Class 8: Questions 264 - 267 of 315

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## Question 264

Appeared in Year: 2017

### Question

MCQ▾

The sum of two numbers is 15. If the sum of their reciprocal is , then find the difference between the numbers.

### Choices

Choice (4)Response

a.

3

b.

5

c.

1

d.

6

## Question 265

Appeared in Year: 2018

True-False▾

### Statements

1. If the ratio of an interior angle to an exterior angle of a regular polygon is 7: 2, then the number of sides of the polygon is 8.

2. If one of the interior angles of a regular polygon is equal to of each interior angle of a regular hexagon, then the number of sides of the polygon is 7.

3. If the sum of all interior angles of a regular polygon is twice the sum of all its exterior angles, then the polygon is hexagon.

4. If each exterior angle of a regular polygon is 40°, then the number of sides of the polygon is 10.

### Choices

Choice (4)Response

a.

Only statement Ⅲ is true.

b.

None of the statements is correct.

c.

Only statement Ⅰ is true.

d.

Both statement Ⅰ & statement Ⅱ are true.

## Question 266

Appeared in Year: 2018

### Question

MCQ▾

If I , II , III , IV , then

### Choices

Choice (4)Response

a.

I and II are equal

b.

II and III are equal

c.

I and IV are equal

d.

All of the above

## Question 267

Appeared in Year: 2018

MCQ▾

### Choices

Choice (4)Response

a.

b.

c.

d.