IMO Mathematics Olympiad (SOF) Class 10: Questions 320  326 of 958
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Question number: 320
Question
The expression is divisible by. Then m is a divisor of ________
Choices
Choice (4)  Response  

a.  610 

b.  610 

c.  810 

d.  810 

Question number: 321
Question
A number 32 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 lowest part.
Choices
Choice (4)  Response  

a.  6 

b.  2 

c.  10 

d.  14 

Question number: 322
Question
If , then is equal to ________
Choices
Choice (4)  Response  

a.  1542 

b.  1222 

c.  1352 

d.  1333 

Question number: 323
Question
If the sum of three consecutive terms of an increasing A. P. is 30 and the product of the first and third of these terms is 75, then the third term is ________
Choices
Choice (4)  Response  

a.  32 

b.  19 

c.  27 

d.  15 

Question number: 324
Question
If the sum of three consecutive terms of an increasing A. P. is 51 and the product of the first and third of these terms is 273, then the third term is ________
Choices
Choice (4)  Response  

a.  9 

b.  13 

c.  17 

d.  21 

Question number: 325
Question
Between the numbers 4 and 40, 18 means (such that 10 numbers are in arithmetic progression) are inserted, then their sum is ________
Choices
Choice (4)  Response  

a.  526 

b.  603 

c.  836 

d.  881 

Question number: 326
Question
The number of terms common between the two series Up to 20 terms and the series up to 30 terms is ________
Choices
Choice (4)  Response  

a.  18 

b.  17 

c.  10 

d.  16 
