# IMO- Mathematics Olympiad Class 9: Questions 819 - 823 of 919

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## Question number: 819

MCQ▾

### Question

P, Q and R enter into partnership by making investments in the ratio. After a year, R invests another Rs. 452500 while P withdrew Rs. 65400. The ratio of investments then changes to . How much did R invest initially?

### Choices

Choice (4) Response

a.

Rs. 228900

b.

Rs. 228990

c.

Rs. 225899

d.

Rs. 224516

## Question number: 820

MCQ▾

### Question

The value of =________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 821

MCQ▾

### Question

There are three pillars X, Y and Z of different heights. Three spiders A, B and C start to climb on these pillars simultaneously. In one chance A climbs on X 5 cm but slips down 1 cm. B climbs on Y 6 cm but slips down 3 cm. C climbs on Z 7 cm but slips down 2 cm. if each requires 50 chances to reach the top of the pillar, what is the height of the shortest pillar?

### Choices

Choice (4) Response

a.

141 cm

b.

153 cm

c.

152 cm

d.

144 cm

## Question number: 822

MCQ▾

### Question

A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the group is

### Choices

Choice (4) Response

a.

70

b.

75

c.

85

d.

80

## Question number: 823

MCQ▾

### Question

In a class test, in mathematics, 10 students scored 75 marks, 12 students scored 60 marks, 8 scored 40 marks and 3 scored 30 marks. The mean of their score is (approximately) ________

### Choices

Choice (4) Response

a.

56 marks

b.

54 marks

c.

15 marks

d.

57 marks

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