IMO Mathematics Olympiad Class 10: Questions 579  584 of 958
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Question number: 579
Question
Walking at fivefourths 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
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
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
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
Question
The value of is ________
Choices
Choice (4)  Response  

a.  1696 

b.  1638 

c.  3499 

d.  1292 

Question number: 584
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 
