# IMO- Mathematics Olympiad (SOF) Class 8: Questions 857 - 861 of 1029

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## Question number: 857

MCQ▾

### Question

A stick 2 feet tall casts a shadow 5 feet long. At the same time, a tree nearby casts a shadow 60 feet long. What is the height, in feet, of the tree?

### Choices

Choice (4) Response

a.

21 feet

b.

24 feet

c.

23 feet

d.

25 feet

## Question number: 858

MCQ▾

### Question

A person who is 5 feet tall is standing 112 feet from the base of a tree, and the tree casts a 110 foot shadow. The person’s shadow is 11 feet in length. What is the height of the tree?

### Choices

Choice (4) Response

a.

20 feet

b.

40 feet

c.

50 feet

d.

All of the above

## Question number: 859

MCQ▾

### Question

The difference between compound interest and simple interest for 3 years@20 % p. a. is Rs. 152. What is the principal lent in each case?

### Choices

Choice (4) Response

a.

1185 Rs

b.

1182 Rs

c.

11876.5 Rs

d.

1285 Rs

## Question number: 860

MCQ▾

### Question

A merchant has 140 liters, 260 liters and 320 liters of three kinds of oil. He wants to sell the oil by filling the three kinds of oil separately in tins of equal volumes. The volume of such a tin is________.

### Choices

Choice (4) Response

a.

10

b.

15

c.

20

d.

30

## Question number: 861

MCQ▾

### Question

A flagpole casts a shadow 30 feet long. A 5 foot woman standing next to the flagpole casts a shadow 6 feet long. Which proportions can be used to find the height of the flagpole?

### Choices

Choice (4) Response

a.

b.

c.

d.

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