IMO Mathematics Olympiad Class 10: Questions 532  536 of 908
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Question number: 532
Question
A rectangular carpet has an area of 60 sq. m, its diagonal and longer side together equal 5 times the shorter side. The length of the carpet is ________
Choices
Choice (4)  Response  

a.  13 m 

b.  12 m 

c.  5 m 

d.  14.5 m 

Question number: 533
Question
Shreyansh buys a watch for Rs. 1, 20, 000. He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs. 5000 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.  1, 28, 000 

b.  1, 27, 750 

c.  1, 27, 000 

d.  None of the above 

Question number: 534
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.  960 gms 

b.  940 gms 

c.  947 gms 

d.  953 gms 

Question number: 535
Question
Mihir has 125 small cubes of . He wants to arrange all of them in a cuboidal shape, such that the surface area will be minimum. What is the diagonal of this larger cuboid?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 536
Question
The sides of a rectangular field are in the ratio . If the area of the field is 13, 500 sq. m, the cost of fencing the field 50 paise per meter is ________
Choices
Choice (4)  Response  

a.  Rs. 140 

b.  Rs. 440 

c.  Rs. 240 

d.  Rs. 340 
