IMO Mathematics Olympiad (SOF) Class 10: Questions 508  512 of 958
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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?
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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 ________
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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 ________.
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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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Question number: 512
Question
Five years ago, a father was four times as old as his son. 8 years later, father’s age will be exceeding his son’s age by 12 years. The ratio of the present ages of father and son is ________
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