IMO- Mathematics Olympiad Class 8: Questions 679 - 686 of 1029

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Question number: 679

» Playing With Numbers

MCQ▾

Question

If 31z5+51z3 is divisible by 3, where z is a digit less than 5, then the values of z are________.

Choices

Choice (4) Response
a.

3, 1

b.

1, 2

c.

1, 0

d.

0, 3

Question number: 680

» Playing With Numbers

MCQ▾

Question

If in a number difference between the sum of digits at its odd places and that of digits at the even places is given 0, then the number and difference is divisible by________.

Choices

Choice (4) Response
a.

9

b.

11

c.

2

d.

7

Question number: 681

» Playing With Numbers

MCQ▾

Question

In a division sum, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 48, then dividend is________.

Choices

Choice (4) Response
a.

2424

b.

8484

c.

4848

d.

2021

Question number: 682

» Playing With Numbers

MCQ▾

Question

On dividing 12401 by a certain number, we get 76 as quotient and 13 as remainder. What is the divisor?

Choices

Choice (4) Response
a.

160

b.

166

c.

165

d.

163

Question number: 683

» Playing With Numbers

MCQ▾

Question

14321 is divisible by________.

Choices

Choice (4) Response
a.

3

b.

4

c.

9

d. None of the above

Question number: 684

» Playing With Numbers

MCQ▾

Question

On dividing 6740 by a certain number, we get 56 as quotient and 20 as remainder. What is the divisor?

Choices

Choice (4) Response
a.

126

b.

125

c.

120

d.

121

Question number: 685

» Playing With Numbers

MCQ▾

Question

The largest natural number by which the product of three consecutive even natural numbers is always divisible is________.

Choices

Choice (4) Response
a.

96

b.

28

c.

48

d.

18

Question number: 686

» Playing With Numbers

MCQ▾

Question

If 1A×A7B , where A and B are single digit number such that AB=0 , then the values of A and B are________.

Choices

Choice (4) Response
a.

4, 5

b.

4, 4

c.

5, 5

d. None of the above

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