IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 569 - 572 of 968

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Question 569

Question

MCQ▾

P, Q and R start at the same time in the same direction to run around a circular stadium. P completes a round in 200 seconds, Q in 100 seconds and R in 300 seconds, all starting at the same point. After what time will they meet again at the starting point?

Choices

Choice (4)Response

a.

16 minutes

b.

30 minutes

c.

10 minutes

d.

20 minutes

Question 570

Question

MCQ▾

Walking at three-fourths of his usual speed a man covers a certain distance in two hours than the time he takes to cover the distance at his usual speed. The time taken by him to cover the distance with his usual speed is ________

Choices

Choice (4)Response

a.

5.5 hours

b.

4.5 hours

c.

5 hours

d.

6 hours

Question 571

Question

MCQ▾

The ratio between the ages of Dipti and Cristal at present is . Three years hence the ratio of their ages will be . What is the present age of Cristal?

Choices

Choice (4)Response

a.

28 years

b.

26 years

c.

24 years

d.

27 years

Question 572

Question

MCQ▾

Shivam buys a watch for ₹ 1,60, 000. He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of ₹ 6000 each. If the rate of interest is and he pays with the instalment the interest due on the unpaid amount, find the total cost of the watch.

Choices

Choice (4)Response

a.

6,28, 000

b.

9,84, 800

c.

5,27, 750

d.

8,27, 000