IMO Mathematics Olympiad Class 10: Questions 563  567 of 699
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Question number: 563
Question
A boy was asked to multiply a given number by . Instead, he divided the given number by and got the result 299 more than what he should have got if he had multiplied the number by . The given number was ________.
Choices
Choice (4)  Response  

a.  60  
b.  90  
c.  80  
d.  70 
Question number: 564
Question
Two Friends P and Q appeared for an exam. Let A be the event that P is selected and B is the event that Q is selected. The probability of A is and that of B is . Find the probability that both of them are selected.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 565
Question
Sanju has 64 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: 566
Question
The ratio between the ages of Samrat and Armaan at present is . Five years hence the ratio of their ages will be . What is the present age of Samrat?
Choices
Choice (4)  Response  

a.  25 years  
b.  Data inadequate  
c.  15 years  
d.  10 years 
Question number: 567
» Pair of Linear Equations in Two Variables
Question
Choices
Choice (4)  Response  

a.  1  
b.  2  
c.  3  
d.  4 