# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 594 - 599 of 968

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## Question number: 594

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MCQ▾

### Question

The sum of the first terms of the arithmetic progression is equal to half the sum of the next terms of the same progression. Find the ratio of the sum of the first terms of the progression to the sum of its first terms

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 595

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MCQ▾

### Question

Let Be the arithmetic progressions such that . The sum of the first two hundred terms of the progressions is ________

### Choices

Choice (4)Response

a.

20000

b.

40000

c.

60000

d.

30000

## Question number: 596

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MCQ▾

### Question

The value of is ________

### Choices

Choice (4)Response

a.

30

b.

40

c.

50

d.

20

## Question number: 597

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MCQ▾

### Question

Four numbers are inserted between the numbers 12 and 62 such that an A. P. results. Find the biggest of these four numbers.

### Choices

Choice (4)Response

a.

72

b.

62

c.

82

d.

52

## Question number: 598

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MCQ▾

### Question

The sum of the terms of an arithmetical progression is 42. The sum of the term of the progression is 52. How do I find the first term, common difference, and sum of the ten terms of the progression?

### Choices

Choice (4)Response

a.

256

b.

235

c.

267

d.

236

## Question number: 599

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MCQ▾

### Question

Four numbers are inserted between the numbers 4 and 39 such that an A. P. results. Find the biggest of these four numbers.

### Choices

Choice (4)Response

a.

31

b.

30

c.

33

d.

32

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