# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 817 - 821 of 931

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## Question 817

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

₹ 225899

b.

₹ 228900

c.

₹ 228990

d.

₹ 224516

## Question 818

### Question

MCQ▾

The value of = ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 819

### Question

MCQ▾

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.

153 cm

b.

152 cm

c.

144 cm

d.

141 cm

## Question 820

### Question

MCQ▾

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.

80

b.

70

c.

75

d.

85

## Question 821

### Question

MCQ▾

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.

57 marks

b.

15 marks

c.

56 marks

d.

54 marks