IMO- Mathematics Olympiad Class 8: Questions 704 - 710 of 1029

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Question number: 704

» Playing With Numbers

MCQ▾

Question

If a 3-digit number ‘abc’ is divisible by 11, then________.

Choices

Choice (4) Response

a.

ab+c is a multiple of 11

b.

a+bc is a multiple of 11

c.

abc is a multiple of 11

d.

a+b+c is a multiple of 11

Question number: 705

» Playing With Numbers

MCQ▾

Question

A 3 digit number ‘cba’ is divisible by 9 if________.

Choices

Choice (4) Response

a.

a + b + 2c is divisible by 9

b.

a + 2b + c is divisible by 9

c.

a + b + c is divisible by 9

d.

2a + b + c is divisible by 9

Question number: 706

» Playing With Numbers

MCQ▾

Question

If 23x1+13x2 is divisible by 9, where x is a digit less than 5, then the values of x are________.

Choices

Choice (4) Response

a.

2

b.

3

c.

1

d.

0

Question number: 707

» Playing With Numbers

MCQ▾

Question

If +0ABCCA594 and there is no carry on addition, then the value of B is________.

Choices

Choice (4) Response

a.

0

b.

5

c.

3

d.

1

Question number: 708

» Playing With Numbers

MCQ▾

Question

If N divided by 5 leaves a remainder of 4, and N divided by 2 leaves a remainder of 1, then the one’s digit of N is________.

Choices

Choice (4) Response

a.

3

b.

4

c.

7

d.

9

Question number: 709

» Playing With Numbers

MCQ▾

Question

If 21x2+12x3 is divisible by 3, where x is a digit less than 5, then the values of x are________.

Choices

Choice (4) Response

a.

3

b.

1

c.

0

d.

2

Question number: 710

» Playing With Numbers

MCQ▾

Question

If +1ABCCA686 and there is no carry on addition, then the value of B is________.

Choices

Choice (4) Response

a.

3

b.

1

c.

5

d.

4

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