# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 642 - 648 of 968

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## Question number: 642

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MCQ▾

### Question

Between the numbers 7 and 70,28 means are inserted, then their sum is ________

### Choices

Choice (4) Response

a.

1795

b.

1078

c.

1695

d.

1895

## Question number: 643

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MCQ▾

### Question

In an A. P, If it is given that then is equal to ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 644

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MCQ▾

### Question

The value of is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 645

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MCQ▾

### Question

If up to n terms and n is even, then S equals________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 646

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MCQ▾

### Question

Let denotes the sum of n terms of an A. P. , whose first term is a. if the common difference d is given by then K is equal to ________ ________

### Choices

Choice (4) Response

a.

4

b.

1

c.

3

d.

2

## Question number: 647

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MCQ▾

### Question

Product of the fourth term and the fifth term of an arithmetic progression is 594. Division of the ninth term by the fourth term of the progression gives quotient as 2 and the remainder as 3. Find the first term of the progression

### Choices

Choice (4) Response

a.

6

b.

4

c.

9

d.

7

## Question number: 648

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MCQ▾

### Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 81, and except for the sixth term, 55. Find the third term of the progression if the sum of the first and the fifth term is equal to 12.

### Choices

Choice (4) Response

a.

5

b.

15

c.

8

d.

10

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