# IMO Level 2- Mathematics Olympiad (SOF) Class 9: Questions 31 - 35 of 76

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## Question number: 31

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MCQ▾

### Question

In the given figure, O is the centre of the circle and XOY is a diameter. If XZ is any other chord of the circle, then which of the following is correct?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 32

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MCQ▾

### Question

P is the mid-point of side AB to a parallelogram ABCD. A line through B parallel to PD meets DC at Q and AD produced at R. Then BR is equal to ________.

### Choices

Choice (4)Response

a.

BQ

b.

1/2BQ

c.

2BQ

d.

Question does not provide sufficient data or is vague

## Question number: 33

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MCQ▾

### Question

A does as half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?

### Choices

Choice (4)Response

a.

30 days

b.

35 days

c.

40 days

d.

None of the above

## Question number: 34

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Appeared in Year: 2014

MCQ▾

### Question

The largest possible length of a tape which can measure , and length of clothes in a minimum number of attempts without measuring the length of a cloth in a fraction of the tape’s length is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 35

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Appeared in Year: 2014

MCQ▾

### Question

Find the value of p, if the mean of the following distribution is 7.5.

### Choices

Choice (4)Response

a.

6

b.

3

c.

2

d.

5

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