# IMO Level 1- Mathematics Olympiad (SOF) Class 6: Questions 209 - 215 of 1059

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## Question number: 209

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MCQ▾

### Question

What is the least number to be subtracted from 1936 so that when divided by 9,10 and 15 it will leave the same remainder in each case?

### Choices

Choice (4) Response

a.

44

b.

38

c.

42

d.

40

## Question number: 210

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MCQ▾

### Question

ABC is a three digit number in which the digit A is greater than the digit B and C. If the difference between ABC and CBA is 297 and the difference between ABC and BAC is 450, find all possible three digit numbers ABC.

### Choices

Choice (4) Response

a.

724

b.

946

c.

835

d.

All a. , b. and c. are correct

## Question number: 211

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MCQ▾

### Question

A number is always divisible by 72 if

### Choices

Choice (4) Response

a.

It is divisible by both 2 and 36

b.

It is divisible by both 6 and 12

c.

It is divisible by both 3 and 24

d.

All a. , b. and c. are correct

## Question number: 212

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MCQ▾

### Question

The integer which is 5 less than is

### Choices

Choice (4) Response

a.

b.

9

c.

2

d.

11

## Question number: 213

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MCQ▾

### Question

When a number is divided by eight, it has a remainder of 2. When it is divided by nine, it has remainder of 1. What is the number?

### Choices

Choice (4) Response

a.

15

b.

12

c.

34

d.

10

## Question number: 214

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MCQ▾

### Question

What least value should be given to * so that the number 653 * 47 is divisible by 11?

### Choices

Choice (4) Response

a.

9

b.

6

c.

7

d.

1

## Question number: 215

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MCQ▾

### Question

The numbers which have more than two factors are called ________.

### Choices

Choice (4) Response

a.

Composite

b.

Prime

c.

Prime & Composite

d.

Question does not provide sufficient data or is vague