IMO Mathematics Olympiad Class 10: Questions 553  558 of 958
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Question number: 553
Question
One fourth of a head of cows is in the forest. Twice the square root of the head has gone to mountains, and of the remaining, 15 are on the bank of a river. The total number of cows is ________
Choices
Choice (4)  Response  

a.  63 

b.  100 

c.  36 

d.  6 

Question number: 554
Question
P is thrice good a workman as Q and therefore is able to finish a job in 40 days less than Q. Working together they can do it in ________ days.
Choices
Choice (4)  Response  

a.  15 

b.  14 

c.  10 

d.  16 

Question number: 555
Question
A girl calculates that the probability of her winning the first prize in a lottery is 0.15. If 8000 tickets are sold, how many tickets has she bought?
Choices
Choice (4)  Response  

a.  1600 

b.  1200 

c.  1800 

d.  1400 

Question number: 556
Question
A man whose bowling average is 12.4 takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets, taken by him, before his last match, is ________
Choices
Choice (4)  Response  

a.  78 

b.  64 

c.  85 

d.  72 

Question number: 557
Question
If compound interest on a certain sum for 2 years is Rs. 451 the simple interest will be ________
Choices
Choice (4)  Response  

a.  325 

b.  352 

c.  440 

d.  625 

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 
