# 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.

b.

c.

d.

## Question number: 49

» Arithmetic Progressions

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

1584

b.

1654

c.

1650

d.

1325

## Question number: 50

» Arithmetic Progressions

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: 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 . 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.

b.

c.

d.

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