Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 48 - 52 of 84

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Question number: 48

» Arithmetic Progressions

MCQ▾

Question

If the sum of first n even natural numbers is equal to K times the sum of first n odd natural numbers, and then K is equal to ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 49

» Arithmetic Progressions

MCQ▾

Question

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

Choices

Choice (4) Response

a.

1584

b.

1654

c.

1650

d.

1325

Question number: 50

» Arithmetic Progressions

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 51

» 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 Equation . Find the largest part.

Choices

Choice (4) Response

a.

30

b.

60

c.

10

d.

40

Question number: 52

» 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.

Equation

b.

Equation

c.

Equation

d.

Equation

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