# IMO- Mathematics Olympiad Class 10: Questions 579 - 584 of 958

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## Question number: 579

MCQ▾

### Question

Walking at five-fourths of his usual speed a man covers a certain distance in five hours than the time he takes to cover the distance at his usual speed. The time taken by him to cover the distance with his usual speed is ________

### Choices

Choice (4) Response

a.

22 hours

b.

26 hours

c.

25 hours

d.

23 hours

## Question number: 580

MCQ▾

### Question

A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B can do the work in ________

### Choices

Choice (4) Response

a.

15 days

b.

30 days

c.

12 days

d.

20 days

## Question number: 581

MCQ▾

### Question

Obtain the sum of all positive integers up to 2000, which are divisible by 5 and not divisible by 2

### Choices

Choice (4) Response

a.

2, 00, 000

b.

1, 00, 000

c.

3, 02, 000

d.

5, 00, 000

## Question number: 582

MCQ▾

### Question

The sum of the first term and the fifth term of an ascending A. P. is 28 and the product of the second term by the fourth term is 180. Find the sum of the first seven terms of this A. P

### Choices

Choice (4) Response

a.

133

b.

115

c.

140

d.

126

## Question number: 583

MCQ▾

### Question

The value of is ________

### Choices

Choice (4) Response

a.

1696

b.

1638

c.

3499

d.

1292

## Question number: 584

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

1300

b.

1652

c.

1400

d.

1500

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