IMO Mathematics Olympiad Class 10: Questions 508  511 of 908
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Question number: 508
Question
X, Y and Z start at the same time in the same direction to run around a circular stadium. X completes a round in 160 seconds, Y in 260 seconds and Z in 200 seconds, all starting at the same point. After what time will they meet again at the starting point?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 509
Question
A train 100 meters long moving at a speed of 50 km/hr crosses a train 120 meters long coming from opposite direction in 6 seconds. The speed of second train is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 510
Question
A boy was asked to multiply a given number by . Instead, he divided the given number by and got the result 225 more than what he should have got if he had multiplied the number by . The given number was ________.
Choices
Choice (4)  Response  

a.  136 

b.  64 

c.  8 

d.  17 

Question number: 511
Question
Sumit has 27 small cubes of . He wants to arrange all of them in a cuboidal shape, such that the surface area will be minim um. What is the diagonal of this larger cuboid?
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Choice (4)  Response  

a. 


b. 


c. 


d. 

