# IMO Level 1- Mathematics Olympiad (SOF) Class 6: Questions 164 - 170 of 1059

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## Question 164

### Question

MCQ▾

The number 3,116, 365 is divisible by

### Choices

Choice (4)Response

a.

5 & 7

b.

5

c.

7

d.

None of the above

## Question 165

### Question

MCQ▾

Cube of any negative integer is

### Choices

Choice (4)Response

a.

0

b.

Depend on the nature of integer

c.

Positive

d.

Negative

## Question 166

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

8

b.

7

c.

9

d.

3

## Question 167

### Question

MCQ▾

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.

Depends on the bracket

b.

Be 0

c.

Change

d.

Not change

## Question 168

### Question

MCQ▾

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 169

### Question

MCQ▾

Which of the following is a perfect square?

### Choices

Choice (4)Response

a.

36 & 81

b.

37

c.

81

d.

36

## Question 170

### Question

MCQ▾

A, M, T, I represent different non-zero digits, It is given that A + M + T + I – 11

A + M + I – 10

A + M – 1

Further in the following addition only one digit is given.

The sum will be?

### Choices

Choice (4)Response

a.

Sum is 35722292

b.

Sum is 35725734

c.

Sum is 35725792

d.

Sum is 34425792