IMO Mathematics Olympiad Class 10: Questions 558  562 of 908
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Question number: 558
Question
a, b, c are real numbers such that and Prove that . When does the equality hold?
Choices
Choice (4)  Response  

a.  Equality hold when and 

b.  Equality hold when and 

c.  Equality hold when and 

d.  Equality hold when and 

Question number: 559
Question
A man whose bowling average is 14.4 takes 3 wickets for 28 runs and thereby decreases his average by 1.2. The number of wickets, taken by him, before his last match, is ________
Choices
Choice (4)  Response  

a.  65 

b.  55 

c.  35 

d.  45 

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.  15 

c.  11 

d.  18 

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. 

