IMO- Mathematics Olympiad Class 10: Questions 52 - 57 of 908

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Question number: 52

» Real Numbers

MCQ▾

Question

Rationalizing factor of x3y5z27is_______

Choices

Choice (4) Response

a.

y2x4z33

b.

x3y2z4

c.

z5y2x47

d.

x4y2z5

Question number: 53

» Real Numbers

MCQ▾

Question

x1,x2,x3,..,x8 is integers, none of which are divisible by 5. The remainder when x12+x22+x32++x82 is divided by 5 is ________

Choices

Choice (4) Response

a.

1

b.

0

c.

1 or 2

d.

All of the above

Question number: 54

» Real Numbers

MCQ▾

Question

Circular field has a circumference of 360 km. two cyclists Sumeet and Samrat start together and can cycle at speeds of 20 km/hr and 24 km/hr respectively round the circular field. After how many hours will they meet again at the starting point?

Choices

Choice (4) Response

a.

50hrs

b.

130hrs

c.

90hrs

d.

170hrs

Question number: 55

» Real Numbers

MCQ▾

Question

Ascending order of the surds 43,54,82 is ________

Choices

Choice (4) Response

a.

54,43,82

b.

82,43,54

c.

43,54,82

d.

43,82,54

Question number: 56

» Real Numbers

MCQ▾

Question

Descending order of the surds 36,54,72is___________

Choices

Choice (4) Response

a.

72,36,54

b.

72,54,36

c.

54,72,36

d.

72,36,54

Question number: 57

» Real Numbers

MCQ▾

Question

x1,x2,x3,..,x18 is integers, none of which are divisible by 9. The remainder when x12+x22+x32++x182 is divided by 9 is ________

Choices

Choice (4) Response

a.

0 or 1

b.

0

c.

1

d.

1 or 2

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