IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 560  564 of 968
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Question number: 560
Question
Assume that a mango and its seed, both are spherical. The radius of the seed is of the thickness of the pulp. The seed lies exactly at the center of the fruit. What percent of the total volume of the mango is its pulp?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 561
Question
A fair price shopkeeper takes profit on his goods. He loss goods during theft. His lost percent is ________
Choices
Choice (4)  Response  

a.  12  
b.  18  
c.  15  
d.  11 
Question number: 562
Question
A card is drawn from a pack of 52 cards. The cards is drawn at random. What is the probability that it is neither spade nor a jack?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

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.  80  
b.  60  
c.  70  
d.  90 
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. 
