IMO- Mathematics Olympiad Class 8: Questions 705 - 712 of 1029

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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 Equation is divisible by 9, where Equation is a digit less than 5, then the values of Equation are________.

Choices

Choice (4) Response

a.

2

b.

3

c.

1

d.

0

Question number: 707

» Playing With Numbers

MCQ▾

Question

If Equation 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 Equation divided by 5 leaves a remainder of 4, and Equation 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 Equation 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 Equation 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

Question number: 711

» Playing With Numbers

MCQ▾

Question

The difference of the squares of two consecutive odd integer is divisible by which of the following integers?

Choices

Choice (4) Response

a.

7

b.

5

c.

8

d.

2

Question number: 712

» Playing With Numbers

MCQ▾

Question

A 5-digit number xy721 is divisible by 3 such that x + y < 5, where x and y are digits, then possible values of (x, y) are________.

Choices

Choice (4) Response

a.

(1, 1), (2, 0)

b.

(1, 2), (2, 0)

c.

(0, 2), (2, 0)

d.

(1, 1), (0, 2)

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