IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 574  579 of 968
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Question number: 574
Question
The arithmetic mean of a number of pair wise distinct prime numbers is 27. Determine the biggest prime among them.
Choices
Choice (4)  Response  

a.  48  
b.  45  
c.  47  
d.  46 
Question number: 575
Question
A dishonest dealer professes to sell his goods at cost price but he uses a false weight and thus gains . For a kg, he uses a weight of ________
Choices
Choice (4)  Response  

a.  750 gms  
b.  660 gms  
c.  860 gms  
d.  760 gms 
Question number: 576
Question
While selling a watch, a shopkeeper gives a discount of . If he gives a discount of , he earns Rs. 15 less as profit. The marked price of the watch is ________
Choices
Choice (4)  Response  

a.  Rs. 712.50  
b.  Rs. 787.50  
c.  Rs. 750  
d.  Rs. 697.50 
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.  7.2 km  
b.  6 km  
c.  4.5 km  
d.  12 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.  23 hours  
b.  22 hours  
c.  25 hours  
d.  26 hours 