IMO Mathematics Olympiad Class 9: Questions 819  823 of 919
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Question number: 819
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
Question
The value of =________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 821
» Analytical Reasoning and Logical Reasoning
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
» Analytical Reasoning and Logical Reasoning
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
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 
