# IMO- Mathematics Olympiad Class 10: Questions 603 - 607 of 958

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## Question number: 603

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.

100

b.

505000

c.

10000

d.

0

## Question number: 604

MCQ▾

### Question

If Belongs to A. P. such that , then the value of equals ________

### Choices

Choice (4) Response

a.

2200

b.

1232

c.

616

d.

308

## Question number: 605

MCQ▾

### Question

If four numbers are in A. P. such that their sum is 50 and the greatest number is 4 times the least, then the numbers are ________

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 606

MCQ▾

### Question

Find the sum of all three-digit natural numbers, which on being divided by 5, leaves remainder equal to 4.

### Choices

Choice (4) Response

a.

57, 270

b.

96, 780

c.

49, 680

d.

99, 270

## Question number: 607

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.

7

b.

8

c.

6

d.

5

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