# IMO Level 2- Mathematics Olympiad (SOF) Class 9: Questions 23 - 26 of 109

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## Question number: 23

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MCQ▾

### Question

David invested certain amount in three different schemes A, B and C with the rate of interest p. a. , p. a. and p. a. respectively. If the total interest accrued in one year was Rs. and the amount invested in Scheme C was of the amount invested in Scheme A and of the amount invested in Scheme B, what was the amount invested in Scheme B?

### Choices

Choice (4)Response

a.

Rs.

b.

Rs.

c.

Rs.

d.

None of the above

## Question number: 24

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### Question

What is the number of straight lines and the number of triangles in the given figure?

### Choices

Choice (4)Response

a.

10 straight lines and 34 triangles

b.

9 straight lines and 35 triangles

c.

9 straight lines and 34 triangles

d.

Question does not provide sufficient data or is vague

## Question number: 25

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MCQ▾

### Question

Aman gave of the amount he had, to Rohan. Rohan in turn gave one-fourth of what he received from Aman to Sahil. After paying Rs. to the taxi driver out of the amount he got from Rohan, Sahil now has Rs. 600 left with him. How much amount did Aman have?

### Choices

Choice (4)Response

a.

b.

Rs.

c.

Rs.

d.

Rs.

## Question number: 26

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MCQ▾

### Question

In a triangle ABC, O is the centre of in circle PQR, ∠BAC = 65°, ∠BCA = 75°, find ∠ROQ.

### Choices

Choice (4)Response

a.

b.

c.

Can’t be determined

d.

Both b. and a. are correct

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