IMO Mathematics Olympiad Class 10: Questions 572  576 of 699
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Question number: 572
Question
Shivam buys a watch for Rs. 1, 60, 000. He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs. 6000 each. If the rate of interest is and he pays with the instalment the interest due on the unpaid amount, find the total cost of the watch.
Choices
Choice (4)  Response  

a.  6, 28, 000  
b.  5, 27, 750  
c.  8, 27, 000  
d.  9, 84, 800 
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 