# Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 36 - 41 of 84

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## Question number: 36

» Arithmetic Progressions

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: 37

» Arithmetic Progressions

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: 38

» Arithmetic Progressions

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: 39

» Arithmetic Progressions

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

## Question number: 40

» Arithmetic Progressions

MCQ▾

### Question

Between the numbers 5 and 50, 18 means are inserted, then their sum is ________

### Choices

Choice (4) Response

a.

695

b.

495

c.

795

d.

895

## Question number: 41

» Arithmetic Progressions

MCQ▾

### Question

If the term of an A. P are P, Q, R respectively, then equals ________

### Choices

Choice (4) Response

a.

0

b.

1

c.

d.

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