# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 827 - 830 of 1042

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## Question 827

### Question

MCQ▾

A ladder is leaning against a house. The distance between the bases of the ladder to the house is 3 feet. The length of the ladder is 10 feet. In feet, how far above the ground does the ladder touch the house?

### Choices

Choice (4)Response

a.

10 feet

b.

9 feet

c.

9.5 feet

d.

Question does not provide sufficient data or is vague

## Question 828

### Question

MCQ▾

If a building casts a 20 feet shadow and a flagpole casts a 7 feet shadow and the flagpole is 12 feet tall, how high is the building?

### Choices

Choice (4)Response

a.

31 feet

b.

33 feet

c.

34.2 feet

d.

35 feet

## Question 829

Appeared in Year: 2012

### Question

MCQ▾

In the morning batch at a school we have observed that when five students took seat on each bench, 4 students remained unseated. But when eleven students took seat per bench, 4 benches remained vacant. The number of students in the morning batch were?

### Choices

Choice (4)Response

a.

26

b.

44

c.

55

d.

48

## Question 830

### Question

MCQ▾

A third of Viral՚s marks in mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks he get in English?

### Choices

Choice (4)Response

a.

60

b.

50

c.

40

d.

100