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= Hints for difficult problems =
 
= Hints for difficult problems =
 
1. A company employed 400 persons in the year 2001 and each year increased by 35 persons. In which year the number of employees in the company will be 785?  
 
1. A company employed 400 persons in the year 2001 and each year increased by 35 persons. In which year the number of employees in the company will be 785?  
[[Class10_progressions_problems#Problem_1_from_Exercise_3.2_.28_Q.N.11_-_page_No._37.29|click here for Solution]]
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[[Class10_progressions_problems#Problem_1_from_Exercise_3.2_.28_Q.N.11_-_page_No._37.29|click here for Solution]]<br>
 
2. The sum of 6 terms which form an A.P is 345. The difference between the first and last terms is 55. Find the terms.  
 
2. The sum of 6 terms which form an A.P is 345. The difference between the first and last terms is 55. Find the terms.  
[[Class10_progressions_problems#Problem_2_from_Exercise_3.3_.28_Q.N.12_-_page_No._43.29|click here for solution]]
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[[Class10_progressions_problems#Problem_2_from_Exercise_3.3_.28_Q.N.12_-_page_No._43.29|click here for solution]]<br>
 
3. Find two numbers whose arithmetic mean exceeds their geometric mean by 2, and whose harmonic mean is one-fifth of the larger number .[[Class10_progressions_problems#Problem 3|click here for solution]]<br>
 
3. Find two numbers whose arithmetic mean exceeds their geometric mean by 2, and whose harmonic mean is one-fifth of the larger number .[[Class10_progressions_problems#Problem 3|click here for solution]]<br>
 
4. If 'a' be the arithmetic mean between 'b' and 'c', and 'b' the geometric mean between 'a' and 'c', then prove that 'c' will be the harmonic mean between 'a' and 'b'.[[Class10_progressions_problems#Problem 4|click here for solution]]
 
4. If 'a' be the arithmetic mean between 'b' and 'c', and 'b' the geometric mean between 'a' and 'c', then prove that 'c' will be the harmonic mean between 'a' and 'b'.[[Class10_progressions_problems#Problem 4|click here for solution]]
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