IMO- Mathematics Olympiad Class 6: Questions 163 - 169 of 1049

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Question number: 163

» Number Systems

MCQ▾

Question

There are 378 red cards in box. A boy takes out 9 red cards from it and replaces them by 14 blue cards. He continues to do so, till all red cards are replaced by blue cards. Find the number of blue cards put in the box?

Choices

Choice (4) Response

a.

438

b.

658

c.

588

d.

348

Question number: 164

» Playing With Numbers

MCQ▾

Question

The number 3, 116, 365 is divisible by

Choices

Choice (4) Response

a.

5

b.

5 & 7

c.

7

d.

Question does not provide sufficient data or is vague

Question number: 165

» Number Systems

MCQ▾

Question

Cube of any negative integer is

Choices

Choice (4) Response

a.

0

b.

Negative

c.

Depend on the nature of integer

d.

Positive

Question number: 166

» Playing With Numbers

MCQ▾

Question

Find the smallest number which will divide the greatest 3-digit number and the greatest 5-digit number exactly.

Choices

Choice (4) Response

a.

9

b.

8

c.

7

d.

3

Question number: 167

» Number Systems

MCQ▾

Question

If positive sign precedes a bracket the sign of the terms inside the bracket will ________ when the bracket is removed.

Choices

Choice (4) Response

a.

Change

b.

Be 0

c.

Depends on the bracket

d.

Not change

Question number: 168

» Number Systems

MCQ▾

Question

If a, b and c are whole numbers such that a = b and c 0 and c > 0, then

Choices

Choice (4) Response

a.

a×c<b×c

b.

a×c>b×c

c.

a×c=b×c

d.

None of the above

Question number: 169

» Playing With Numbers

MCQ▾

Question

Which of the following is a perfect square?

Choices

Choice (4) Response

a.

36

b.

36 & 81

c.

37

d.

81

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