# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 563 - 568 of 968

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## Question number: 563

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MCQ▾

### Question

A boy was asked to multiply a given number by. Instead, he divided the given number by and got the result 299 more than what he should have got if he had multiplied the number by. The given number was ________.

### Choices

Choice (4) Response

a.

80

b.

60

c.

70

d.

90

## Question number: 564

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MCQ▾

### Question

Two Friends P and Q appeared for an exam. Let A be the event that P is selected and B is the event that Q is selected. The probability of A is and that of B is. Find the probability that both of them are selected.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 565

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MCQ▾

### Question

Sanju has 64 small cubes of . He wants to arrange all of them in a cuboidal shape, such that the surface area will be minimum. What is the diagonal of this larger cuboid?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 566

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MCQ▾

### Question

The ratio between the ages of Samrat and Armaan at present is. Five years hence the ratio of their ages will be. What is the present age of Samrat?

### Choices

Choice (4) Response

a.

b.

15 years

c.

10 years

d.

25 years

## Question number: 567

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MCQ▾

### Choices

Choice (4) Response

a.

1

b.

2

c.

3

d.

4

## Question number: 568

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MCQ▾

### Question

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

### Choices

Choice (4) Response

a.

46 minutes 12 seconds

b.

45 minutes

c.

42 minutes 36 seconds

d.

26 minutes 18 seconds