# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 598 - 603 of 968

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## 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

## Question number: 600

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MCQ▾

### Question

If the sum of three consecutive terms of an increasing A. P. is 75 and the product of the first and third of these terms is 600, then the third term is ________

### Choices

Choice (4) Response

a.

90

b.

30

c.

60

d.

50

## Question number: 601

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

160000

b.

300000

c.

950000

d.

350000

## Question number: 602

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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: 603

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

10000

b.

0

c.

100

d.

505000