IMO- Mathematics Olympiad (SOF) Class 6: Questions 209 - 215 of 1049

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Question number: 209

» Playing With Numbers

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.

40

b.

44

c.

38

d.

42

Question number: 210

» Number Systems

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

» Playing With Numbers

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 3 and 24

c.

It is divisible by both 6 and 12

d.

All a. , b. and c. are correct

Question number: 212

» Number Systems

MCQ▾

Question

The integer which is 5 less than is

Choices

Choice (4) Response

a.

11

b.

c.

9

d.

2

Question number: 213

» Playing With Numbers

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.

34

b.

10

c.

15

d.

12

Question number: 214

» Playing With Numbers

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

» Playing With Numbers

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Prime & Composite

b.

Prime

c.

Composite

d.

Question does not provide sufficient data or is vague

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