# IMO- Mathematics Olympiad Class 10: Questions 614 - 618 of 958

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## Question number: 614

MCQ▾

### Question

Three numbers are inserted between the 2 numbers and 30 such that an A. P. results. Find the fourth numbers.

### Choices

Choice (4) Response

a.

42

b.

24

c.

23

d.

32

## Question number: 615

MCQ▾

### Question

If the sum of terms of an A. P. is and the sum of terms is , then the sum of terms is ________

### Choices

Choice (4) Response

a.

b.

0

c.

d.

## Question number: 616

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: 617

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: 618

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.

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