IMO- Mathematics Olympiad Class 6: Questions 226 - 230 of 1049

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Question number: 226

» 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.

Question does not provide sufficient data or is vague

Question number: 227

» Fractions

MCQ▾

Question

A unit fraction is one of the from 1a where ‘a’ is a natural number ( 1) . Any proper fraction can be written as the sum of two or more unit fractions.

{Ex. 12=13+16,56=.12+13,124=154+172+1108 }

In the case of 12 , the factors of 2 are 1 and 2 only

12=1+22(1+2)=12(1+2)+22(1+2)=16+13

Express 115 as the sum of two different unit fraction in different ways.

Choices

Choice (4) Response

a.

13+116

b.

15+116

c.

1240+116

d.

120+116

Question number: 228

» Number Systems

MCQ▾

Question

Difference between the face value of 3 & 5 in 134, 890 and 215, 648 is

Choices

Choice (4) Response

a.

25, 000

b.

8

c.

2

d.

29, 242

Question number: 229

» Playing With Numbers

MCQ▾

Question

The co-prime numbers and also prime numbers from the following pairs, is

Choices

Choice (4) Response

a.

47 and 63

b.

31 and 33

c.

29 and 57

d.

83 and 97

Question number: 230

» Playing With Numbers

MCQ▾

Question

The least number which when decreased by 7 is exactly divisible by 6, 7, 21 and 42 is

Choices

Choice (4) Response

a.

53

b.

49

c.

35

d.

36

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