IMO Mathematics Olympiad (SOF) Class 10: Questions 573  578 of 958
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Question number: 573
Question
A train 200 meters long moving at a speed of 70 km/hr crosses a train 220 meters long coming from opposite direction in 10 seconds. The speed of second train is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


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.  45 

b.  48 

c.  46 

d.  47 

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.  760 gms 

b.  750 gms 

c.  860 gms 

d.  660 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. 787.50 

b.  Rs. 697.50 

c.  Rs. 712.50 

d.  Rs. 750 

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. 

