IMO- Mathematics Olympiad (SOF) Class 10: Questions 54 - 60 of 958

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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.

b.

130hrs

c.

90hrs

d.

170hrs

Question number: 55

» Real Numbers

MCQ▾

Question

Ascending order of the surds is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 56

» Real Numbers

MCQ▾

Question

Descending order of the surds

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 57

» Real Numbers

MCQ▾

Question

is integers, none of which are divisible by 9. The remainder when is divided by 9 is ________

Choices

Choice (4) Response

a.

0 or 1

b.

0

c.

1

d.

1 or 2

Question number: 58

» Real Numbers

MCQ▾

Question

If , then t is equal to ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 59

» Real Numbers

MCQ▾

Question

A ten digit number is a multiple of 11 and 9091. If the second digit from left is 5, then 7th digit from the left of the number is ________

Choices

Choice (4) Response

a.

5

b.

9

c.

3

d.

2

Question number: 60

» Real Numbers

MCQ▾

Question

If ‘j’ and ‘k’ are rational numbers and , then k = ________

Choices

Choice (4) Response

a.

10

b.

12

c.

45

d.

21

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