IMO Mathematics Olympiad Class 10: Questions 577  581 of 908
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Question number: 577
Question
Suraj travels a certain distance at 3 km/hr and reaches 15 min. late. If he travels at 4 km/hr, he reaches 15 min. earlier. The distance he has to travel is ________
Choices
Choice (4)  Response  

a.  12 km 

b.  7.2 km 

c.  6 km 

d.  4.5 km 

Question number: 578
Question
If P and Q can do a work in 12 days, Q and R in 15 days, while R and P in 20 days, how long would P, Q and R alone take to do the work respectively?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


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 
