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

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Question number: 819

» Everyday Mathematics

MCQ▾

Question

P, Q and R enter into partnership by making investments in the ratio 2:7:9 . After a year, R invests another Rs. 452500 while P withdrew Rs. 65400. The ratio of investments then changes to 32:49:125 . 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

» Polynomials

MCQ▾

Question

The value of (a+b)3+(ab)3+6a(a2b2) =________

Choices

Choice (4) Response

a.

10a3

b.

12a3

c.

8a3

d.

6a3

Question number: 821

» Analytical Reasoning and Logical Reasoning

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

» Analytical Reasoning and Logical Reasoning

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

» Statistics and Probability

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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