# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 580 - 585 of 968

Access detailed explanations (illustrated with images and videos) to 968 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Unlimited Access for Unlimited Time! View Sample Explanation or View Features.

Rs. 450.00 or

How to register?

## Question number: 580

Edit
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.

20 days

b.

12 days

c.

30 days

d.

15 days

## Question number: 581

Edit
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.

1,00,000

b.

5,00,000

c.

3,02,000

d.

2,00,000

## Question number: 582

Edit
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.

126

b.

115

c.

133

d.

140

## Question number: 583

Edit
MCQ▾

### Question

The value of is ________

### Choices

Choice (4)Response

a.

1696

b.

1638

c.

1292

d.

3499

## Question number: 584

Edit
MCQ▾

### Question

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

### Choices

Choice (4)Response

a.

1500

b.

1400

c.

1652

d.

1300

## Question number: 585

Edit
MCQ▾

### Question

The sum of the fourth term and the six term of an ascending A. P. is 50 and the product of the third term by the fifth term is 200. Find the sum of the first ten terms of this A. P

### Choices

Choice (4)Response

a.

392.5

b.

529.5

c.

292.5

d.

492.5

Developed by: