# IMO- Mathematics Olympiad Class 6: Questions 163 - 169 of 1049

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## Question number: 163

MCQ▾

### Question

There are 378 red cards in box. A boy takes out 9 red cards from it and replaces them by 14 blue cards. He continues to do so, till all red cards are replaced by blue cards. Find the number of blue cards put in the box?

### Choices

Choice (4) Response

a.

438

b.

658

c.

588

d.

348

## Question number: 164

MCQ▾

### Question

The number 3, 116, 365 is divisible by

### Choices

Choice (4) Response

a.

5

b.

5 & 7

c.

7

d.

Question does not provide sufficient data or is vague

## Question number: 165

MCQ▾

### Question

Cube of any negative integer is

### Choices

Choice (4) Response

a.

0

b.

Negative

c.

Depend on the nature of integer

d.

Positive

## Question number: 166

MCQ▾

### Question

Find the smallest number which will divide the greatest 3-digit number and the greatest 5-digit number exactly.

### Choices

Choice (4) Response

a.

9

b.

8

c.

7

d.

3

## Question number: 167

MCQ▾

### Question

If positive sign precedes a bracket the sign of the terms inside the bracket will ________ when the bracket is removed.

### Choices

Choice (4) Response

a.

Change

b.

Be 0

c.

Depends on the bracket

d.

Not change

## Question number: 168

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.

None of the above

## Question number: 169

MCQ▾

### Question

Which of the following is a perfect square?

### Choices

Choice (4) Response

a.

36

b.

36 & 81

c.

37

d.

81

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