# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 610 - 616 of 968

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## Question number: 610

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MCQ▾

### Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 144, and except for the eight term, 70. Find the second term of the progression if the sum of the first and the seventh terms is equal to 20.

### Choices

Choice (4) Response

a.

18

b.

16

c.

13

d.

19

## Question number: 611

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MCQ▾

### Question

In a given A. P, if the term is and term is , then its term is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 612

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MCQ▾

### Question

In an A. P. , the sum of first n terms is, find its term

### Choices

Choice (4) Response

a.

224

b.

226

c.

216

d.

220

## Question number: 613

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MCQ▾

### Question

If in an A. P. , , where denotes the sum of r terms of the A. P, then is equal to ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 614

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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.

24

b.

23

c.

32

d.

42

## Question number: 615

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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.

c.

d.

0

## Question number: 616

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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.