IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 617 - 621 of 968

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Question number: 617

» Arithmetic Progressions

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MCQ▾

Question

If Belongs to A. P. such that , then the value of equals ________

Choices

Choice (4) Response

a.

1654

b.

1584

c.

1650

d.

1325

Question number: 618

» Arithmetic Progressions

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MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 619

» Arithmetic Progressions

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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 . Find the largest part.

Choices

Choice (4) Response

a.

10

b.

40

c.

60

d.

30

Question number: 620

» Arithmetic Progressions

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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.

b.

c.

d.

Question number: 621

» Arithmetic Progressions

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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 . Find the largest part.

Choices

Choice (4) Response

a.

70

b.

28

c.

42

d.

56