# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 528 - 531 of 968

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## Question 528

### Question

MCQ▾

A rectangular carpet has an area of 105 sq. m its diagonal and longer side together equal 6 times the shorter side. The length of the carpet is ________

### Choices

Choice (4)Response

a.

13.5 m

b.

19.4 m

c.

17.5 m

d.

16.23 m

## Question 529

### Question

MCQ▾

In a certain office, of the workers is women, of the women is married and of the married women have children. If of the men are married and of the married men have children, what parts of workers are without children?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 530

### Question

MCQ▾

4 bells commence tolling together and toll at intervals of 6,12, 18 and 24 seconds respectively. In 6 minutes, how many times do they toll together?

### Choices

Choice (4)Response

a.

6

b.

4

c.

7

d.

5

## Question 531

### Question

MCQ▾

ABC and DBC are two equilateral triangles on the same base BC. A point P is taken on the circle with Centre D, radius BD. Show that PA, PB, PC are the sides of a right triangle

### Choices

Choice (4)Response

a.

PA, PB, PC are the sides of a acute triangle

b.

PA, PB, PC are the sides of a right triangle

c.

PA, PB, PC are the sides of a obtuse triangle

d.

PA, PB, PC are the sides running along circle