Playing With Numbers (IMO- Mathematics Olympiad (SOF) Class 8): Questions 40 - 48 of 61

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Question number: 40

» Playing With Numbers

MCQ▾

Question

If divided by 13 leaves a remainder of 11, and divided by 17 leaves a remainder of 9, then the one’s digit of N is________.

Choices

Choice (4) Response

a.

3

b.

7

c.

4

d.

9

Question number: 41

» Playing With Numbers

True-False▾

Following Statement is true or false:

A number is divisible by 5 when last digit of a number is 0 or 1. This statement is ________.

Question number: 42

» Playing With Numbers

MCQ▾

Question

A 5-digit number xy978 is divisible by 9 such that x + y < 5, where x and y are digits, then possible values of (x, y) are________.

Choices

Choice (4) Response

a.

(1, 2), (3, 0) and (2, 1)

b.

(1, 2), (0, 3) and (2, 1)

c.

(2, 1), (0, 3) and (1, 2)

d.

None of the above

Question number: 43

» Playing With Numbers

MCQ▾

Question

If is divided by 5 leaves a remainder of 1, then one’s digit of must be________.

Choices

Choice (4) Response

a.

Either 1 or 2

b.

Either 4 or 5

c.

Either 1 or 4

d.

All of the above

Question number: 44

» Playing With Numbers

MCQ▾

Question

21436587 is divisible by________.

Choices

Choice (4) Response

a.

2

b.

5

c.

9

d.

7

Question number: 45

» Playing With Numbers

MCQ▾

Question

68790 is divisible by________.

Choices

Choice (4) Response

a.

5

b.

3

c.

4

d.

None of the above

Question number: 46

» Playing With Numbers

MCQ▾

Question

113245 is divisible by________.

Choices

Choice (4) Response

a.

3

b.

5

c.

2

d.

None of the above

Question number: 47

» Playing With Numbers

MCQ▾

Question

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

Choices

Choice (4) Response

a.

4

b.

9

c.

2

d.

5

Question number: 48

» Playing With Numbers

MCQ▾

Question

If is divided by 6 leaves a remainder of 3, then one’s digit of must be________.

Choices

Choice (4) Response

a.

Either 1 or 2

b.

Either 9 or 2

c.

Either 3 or 9

d.

Question does not provide sufficient data or is vague

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