# IMO- Mathematics Olympiad (SOF) Class 6: Questions 223 - 227 of 1049

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## Question number: 223

MCQ▾

### Question

The two numbers nearest to 10000 which are exactly divisible by each of 2, 3, 4, 5, 6 and 7 is

### Choices

Choice (4) Response

a.

9669, 10080

b.

10340, 10080

c.

9320, 10080

d.

9660, 10080

## Question number: 224

MCQ▾

### Question

The two consecutive prime numbers with difference 2 are called ________.

### Choices

Choice (4) Response

a.

Composite

b.

Co-primes

c.

Twin primes

d.

Even

## Question number: 225

MCQ▾

### Question

If are two whole numbers, then commutative law is applicable to multiplication if

### Choices

Choice (4) Response

a.

AND

b.

c.

d.

All a. , b. and c. are correct

## Question number: 226

MCQ▾

### Question

If a, b and c are whole numbers such that a > b and c 0 and c > 0, then

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 227

MCQ▾

### Question

A unit fraction is one of the from where ‘a’ is a natural number ( . Any proper fraction can be written as the sum of two or more unit fractions.

{Ex. }

In the case of , the factors of 2 are 1 and 2 only

Express as the sum of two different unit fraction in different ways.

### Choices

Choice (4) Response

a.

b.

c.

d.

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