IMO- Mathematics Olympiad Class 10: Questions 618 - 622 of 889

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Question number: 618

» Arithmetic Progressions

MCQ▾

Question

A circle with area A1 is contained in the interior of a larger circle with area A1+A2 . If the radius of the larger circle is 3 units and A1,A2,A1+A2 are in A. P. , then the radius of the smaller circle is ________

Choices

Choice (4) Response
a.

2units

b.

5units

c.

4.5units

d.

32units

Question number: 619

» Arithmetic Progressions

MCQ▾

Question

A number 100 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is 6:4 . Find the largest part.

Choices

Choice (4) Response
a.

30

b.

60

c.

10

d.

40

Question number: 620

» Arithmetic Progressions

MCQ▾

Question

If six numbers are in A. P. such that their sum is 30 and the greatest number is 6 times the least, then the numbers are ________

Choices

Choice (4) Response
a.

52,103,256,356,203,152

b.

16,57,95,611,1321,1723

c.

12,45,67,37,1113,1513

d.

2,37,7,1213,8,1823

Question number: 621

» Arithmetic Progressions

MCQ▾

Question

A number 196 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is 10:12 . Find the largest part.

Choices

Choice (4) Response
a.

70

b.

28

c.

42

d.

56

Question number: 622

» Arithmetic Progressions

MCQ▾

Question

If 0.13939393939=ab , then a+b is equal to ________

Choices

Choice (4) Response
a.

1228

b.

1428

c.

1328

d.

1128

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