IMO- Mathematics Olympiad Class 10: Questions 527 - 531 of 889

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Question number: 527

» Everyday Mathematics

MCQ▾

Question

Sudhir buys a watch for Rs. 2, 00, 000 . He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs. 10, 000 each. If the rate of interest is 30% and he pays with the instalment the interest due on the unpaid amount, find the total cost of the watch.

Choices

Choice (4) Response
a.

4, 25, 000

b.

6, 85, 000

c.

9, 25, 000

d.

3, 82, 000

Question number: 528

» Everyday Mathematics

MCQ▾

Question

A rectangular carpet has an area of 105 sq. m its diagonal and longer side together equal 6 times the shorter side. The length of the carpet is ________

Choices

Choice (4) Response
a.

17.5 m

b.

13.5 m

c.

16.23 m

d.

19.4 m

Question number: 529

» Everyday Mathematics

MCQ▾

Question

In a certain office, (25) of the workers is women, (13) of the women is married and (14) of the married women have children. If (23) of the men are married and (53) of the married men have children, what parts of workers are without children?

Choices

Choice (4) Response
a.

310

b.

103

c.

57

d.

75

Question number: 530

» Everyday Mathematics

MCQ▾

Question

4 bells commence tolling together and toll at intervals of 6, 12, 18 and 24 seconds respectively. In 6 minutes, how many times do they toll together?

Choices

Choice (4) Response
a.

4

b.

6

c.

5

d.

7

Question number: 531

» Triangle, Circle & Constructions

MCQ▾

Question

ABC and DBC are two equilateral triangles on the same base BC. A point P is taken on the circle with Centre D, radius BD. Show that PA, PB, PC are the sides of a right triangle

Choices

Choice (4) Response
a.

PA, PB, PC are the sides of a obtuse triangle

b.

PA, PB, PC are the sides of a right triangle

c.

PA, PB, PC are the sides of a acute triangle

d.

PA, PB, PC are the sides running along circle

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