# IMO- Mathematics Olympiad Class 10: Questions 619 - 624 of 958

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## Question number: 619

MCQ▾

### Question

A number 100 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.

### Choices

Choice (4) Response

a.

30

b.

60

c.

10

d.

40

## Question number: 620

MCQ▾

### Question

If six numbers are in A. P. such that their sum is 30 and the greatest number is 6 times the least, then the numbers are ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 621

MCQ▾

### Question

A number 196 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.

### Choices

Choice (4) Response

a.

70

b.

28

c.

42

d.

56

## Question number: 622

MCQ▾

### Question

If , then is equal to ________

### Choices

Choice (4) Response

a.

1228

b.

1428

c.

1328

d.

1128

## Question number: 623

MCQ▾

### Question

Find the sum of all three-digit natural numbers, which on being divided by 4, leave remainder equal to 2.

### Choices

Choice (4) Response

a.

1, 99, 270

b.

4, 41, 680

c.

1, 94, 780

d.

1, 23, 525

## Question number: 624

MCQ▾

### Question

If the sum of terms of an A. P. are respectively, then is ________

### Choices

Choice (4) Response

a.

1

b.

2

c.

0

d.

3

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