IMO Mathematics Olympiad (SOF) Class 10: Questions 327  332 of 958
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Question number: 327
Question
A number 144 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.
Choices
Choice (4)  Response  

a.  48 

b.  56 

c.  54 

d.  46 

Question number: 328
Question
Between the numbers 2 and 20, 8 means (such that 10 numbers are in arithmetic progression) are inserted, then their sum is ________
Choices
Choice (4)  Response  

a.  176 

b.  44 

c.  88 

d.  60 

Question number: 329
Question
Between the numbers 6 and 60, 28 means (such that 10 numbers are in arithmetic progression) are inserted, then their sum is ________
Choices
Choice (4)  Response  

a.  1881 

b.  1914 

c.  1526 

d.  1836 

Question number: 330
Question
A number 20 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.
Choices
Choice (4)  Response  

a.  4 

b.  8 

c.  9 

d.  12 

Question number: 331
Question
The number of terms common between the two series Up to 50 terms and the series up to 60 terms is ________
Choices
Choice (4)  Response  

a.  24 

b.  26 

c.  20 

d.  25 

Question number: 332
Question
The mean of 12 observations is. By error, one observation was noted as was misread as 21. Then the correct mean is ________
Choices
Choice (4)  Response  

a.  23.25 

b.  28.25 

c.  27.25 

d.  29.25 
