# IMO- Mathematics Olympiad Class 10: Questions 564 - 568 of 958

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## Question number: 564

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

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

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.

25 years

b.

c.

15 years

d.

10 years

## Question number: 567

MCQ▾

### Choices

Choice (4) Response

a.

1

b.

2

c.

3

d.

4

## Question number: 568

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.

26 minutes 18 seconds

b.

42 minutes 36 seconds

c.

46 minutes 12 seconds

d.

45 minutes

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