Easy2Siksha.com
   2024
/  
 ( )
 : 3   :100
:     ,            
           
-
1.             
2.         ,     
  
-
3.     , 1   72       ?
4.         
-
5.        2          
Easy2Siksha.com
6.     2     
-
7.     ,  ,  
   
8.            ?    
Easy2Siksha.com
   2024
/  
 ( )
 : 3   :100
:     ,            
           
-
1.             
: :     
Easy2Siksha.com
   ,             -
       ,   ,      
     ,           
      ,          
                  
   ,       ,  "  "  
     
 :   
              ,  
   ,            
  
,            
              
       ,       
               
         
:       
Easy2Siksha.com
      ,     (AIR)   
        ,          
      
    , ,         
    
            
       ,       
  ,       
       ,        
  ,            
 
  :   
             ,  
    ,            
                
              , 
       ,      ,  
              
        
            ,  
        , -    
     
   :    
21  ,       -      
,  ,           
              
        
        ,      
                
              
      
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               

                ,
             
        
            ,
,    , ,        
  ,      
 
       ,     
                
  
   ,          
   
    ,       -
                
-               
      
,           - ,   
     ,         
       

               
               ;
     ;     ;    
  ;         
         ,   , 
       ,          
          ,        
       
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2.         ,     
  
:󷋇󷋈󷋉󷋊󷋋󷋌   
:     14   1931     
 ,  ,            
       
    ,           
           
               ,
              
        ,        
      
󷊨󷊩   
     ,           
      :
o  :          , 
-    
o     :      
 -         
o  :  ,    (  , -
)    
o    :   ,    
,         
󷙣󷙤󷙥   
1.      
         -    
     ,         
   
2.    
               
            ,   " 
"  
3.  
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  ,         ,    
 
     (1980)         
         
4.   
      , 54      ,   
     ,          
   
5.    
              
              
󷈷󷈸󷈹󷈺󷈻󷈼  
  1984        ,      
   
  ,              
      
  ,     ,      
  
󽆪󽆫󽆬 
:    ,      
   
:            
       ,        
  
: 20               ,
          
󷊨󷊩
                 
 -   ,          
      ,         
,       ,   
Easy2Siksha.com
-
3.     , 1   72       ?
:󷙢 :        
   ,   ()  7    :
,  , , , , , 
    -      :
 → 2  (, )
→ 2 
→ 2  (, )
→ 2 
→ 2 
:
    (  )
    ,       
󷚆󷚇󷚈   
 :
󷷑󷷒󷷓󷷔       ,
󷷑󷷒󷷓󷷔    ( , , , , )    
     (7-)   ?
   72  ()   
󷙣󷙤󷙥72     -- 
󷄧󷄫       
        :
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 ( )   
 ( )   
        ( Sa  Pa    )
󷚆󷚇󷚈  (- --)
   :
   Re
   Ga
   Ma
      :
󷷑󷷒󷷓󷷔Ga    Re    
     
 - :
1. R₁ G₁
2. R₁ G₂
3. R₁ G₃
4. R₂ G₂
5. R₂ G₃
6. R₃ G₃
  6  Re-Ga   
      :
M₁ ( )
M₂ ( )
    :
6 × 2 = 12
 :
󷷑󷷒󷷓󷷔12 -   
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󷚆󷚇󷚈  (--)
    :
Dha Ni    
  3    ( Re-Ga)
 Dh-Ni :
1. D₁ N₁
2. D₁ N₂
3. D₁ N₃
4. D₂ N₂
5. D₂ N₃
6. D₃ N₃
 :
󷷑󷷒󷷓󷷔6  
󷙢 : 12 × 6
   :
12  
6  
 ():
12 × 6 = 72
󽆪󽆫󽆬       72   
󷙣󷙤󷙥    
            
 :
Sa  
Pa   
Sa  
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       :





     (     )
         ,   72   
 
   
󷚆󷚇󷚈     ?
      ,      
:
     
     
      
   
    :
  
    
󷙢
 10   
   ,        10    
  10    72       
 :
󷷑󷷒󷷓󷷔72 =   
󷷑󷷒󷷓󷷔10 =  
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󷙣󷙤󷙥  
   :
󷷑󷷒󷷓󷷔       
󷷑󷷒󷷓󷷔     
󷷑󷷒󷷓󷷔        
󷷑󷷒󷷓󷷔 ×   = 72
 :
            
󷄧󼿒 
   , 72  ( )        
            ( , , , , )     
 (- --)   (--)        12    6
      (12 × 6)      72  
              
4.         
:󷋇󷋈󷋉󷋊󷋋󷋌     ?
   ,   ( )        
            
                
  ,    ()  
        -    ,    
    ,        
󷊨󷊩  
24     -       ,     
  :
1.   (4   7  ):
o : , 
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o : , , 
2.  (7  - 10 ):
o : , 
o : , , 
3.   ( 10    1  ):
o : ,  
o : , 
4.  (1  - 4 ):
o : , 
o : , 
5.  ( 4  -  7 ):
o : , 
o : , , 
6.  ( 7    10  ):
o : , 
o : , 
7.  ( 10   1  ):
o : ,  
o : , , 
8.       ( 1    4  ):
o : , 
o : , 
󷙣󷙤󷙥   
1. :        ,  
,   ,          
2. :    ,       
       
3. :         ,     
               
󷈷󷈸󷈹󷈺󷈻󷈼     
 :-,       
 :,     
 : ,  ,     
  : ,   
󽆪󽆫󽆬 
   ,         , 
       
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,   ,          
      ,          
 ,              
      
󷊨󷊩 

          
       
        

    ,       
         ,       
 
             
󷋇󷋈󷋉󷋊󷋋󷋌
    ,             
        ,         
                  ,
      :            
  
-
5.        2          
: 󷙢   (  )
  :
           2      

     :
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1.         ( , , ,  )
2.    (      ) 
3.   (    ,     ) 
󷷑󷷒󷷓󷷔     ( +  )
󷚆󷚇󷚈   ? ( )
    :
  () 
 (16 )   
         
,   
       
           
󷙣󷙤󷙥  ?
 :
 , ,  
    
    
( )    
   :
󷷑󷷒󷷓󷷔 ( )
󷷑󷷒󷷓󷷔  ()
󷄧󼿒   
(   )
󷚆󷚇󷚈   (  )
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:
:^  '
:' ^ 
:
:
:
󷙢 ()   
: (16  )
:
:
󷚆󷚇󷚈 
:




 ^

^ 
^ 
|  |  |  | |^  ' | ^  |^  |  ||
:
|  |  |  | |S' NDN | ' ^ | ' ' | ' ^ |
|  |  |  |  |^  | ' '  |^  |  ||
󷙣󷙤󷙥 1
 ^  '' ^   ^   ()
󷙣󷙤󷙥 2
Easy2Siksha.com
^  '  ^  ^  ' '  ^  ()
󽆐󽆑󽆒󽆓󽆔󽆕     ( )
           :
1.    +  + 
2.      
3.       
4. 2  - 
5. 16-   
󷘹󷘴󷘵󷘶󷘷󷘸    
  :
  
  
  

     
     
󷋇󷋈󷋉󷋊󷋋󷋌    
:
󷷑󷷒󷷓󷷔 =  
󷷑󷷒󷷓󷷔 =  
󷷑󷷒󷷓󷷔 =  
     ()  
Easy2Siksha.com
6.     2     
:󷋇󷋈󷋉󷋊󷋋󷋌 
  
   
     ,       ()  
()        
     ( ) ,        

 ():   ()   '
 ():Sa' Ni Dha Pa Ma(t) Ga Re Sa
 ( ): ()
 (
  ): ()
 ( ):   (),   
  
       ( 6-9 )     
             ,  
    
 ()
  (  )   
 ,     ,        

                 
     
   ,   -  (   ),   

           
󷊨󷊩 
  
    
 "    "         (  
 )   
Easy2Siksha.com
   ,            

 ():  ( )    ( )  '
 ():'  ()     () 
   ( )    ( )     ,  
       
 ( ): ()
 (
  ): ()
 ( ):    ,     
  
       ( 6-9 )  
          
 ()
  (  )    
,   ,            

      ,   ,  ,    
   
        ()    ,   
         
               ,  
      
󷙣󷙤󷙥 

 
 




-
-
 
 
  ,  







 (6-9 )
 (6-9 )
 ()
, , 
, , 

   (),   
    ,     

     
 ,    
Easy2Siksha.com
󽆪󽆫󽆬
           
 ,      ,      
 ,      ,     
          ,  ,      
  
-
7.     ,  ,  
   
:󷊨󷊩   ?
   14     ()        
  ,                
   ,         
   ,     ,        -  ,
 ,    
󼪍󼪎󼪏󼪐󼪑󼪒󼪓   
   :
14  ( )
 4  ()     
: 5 + 2 + 3 + 4
     :
1 2 3 4 5 | 6 7 | 8 9 10 | 11 12 13 14
- :

 ()󷷻󷷼󷷽󷷾󷷿󷸀󷸁󷸂󷸃󷸄󷸅󷸆󷸇󷸈󷸉
Easy2Siksha.com

  󷷻󷷼󷷽󷷾󷷿󷸀󷸁󷸂󷸃󷸄󷸅󷸆󷸇󷸈󷸉
  󷷪󷷫󷷬󷷭󷷮󷷯󷷰󷷱󷷲
  󷷻󷷼󷷽󷷾󷷿󷸀󷸁󷸂󷸃󷸄󷸅󷸆󷸇󷸈󷸉
       :
󷷻󷷼󷷽󷷾󷷿󷸀󷸁󷸂󷸃󷸄󷸅󷸆󷸇󷸈󷸉2 3 4 5 |󷷻󷷼󷷽󷷾󷷿󷸀󷸁󷸂󷸃󷸄󷸅󷸆󷸇󷸈󷸉7 |󷷪󷷫󷷬󷷭󷷮󷷯󷷰󷷱󷷲9 10 |󷷻󷷼󷷽󷷾󷷿󷸀󷸁󷸂󷸃󷸄󷸅󷸆󷸇󷸈󷸉12 13 14
                
     
󻏂󻏃󻏄󻏅󻏆󻏇󻏈   ( )
           
󷄧󼿒  ( )
     |  - |    |    -
    :
     |  - |    |    -
- :


1

2

3

4

5

6

7
8

9

10

11

12

13

14
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:
 1 =  ( )
 8 =  () →  
󷙣󷙤󷙥    
 (4+4+4+4)     ,   5+2+3+4     
   :
󷷑󷷒󷷓󷷔  
󷷑󷷒󷷓󷷔    
󷷑󷷒󷷓󷷔   
󷷑󷷒󷷓󷷔   
                
 
󽁗   
        -      
  
       :
(1× )
(2× )
󻏂󻏃󻏄󻏅󻏆󻏇󻏈  ( )
     
1 2 3 4 5 | 6 7 | 8 9 10 | 11 12 13 14
     |  - |    |    -
        
Easy2Siksha.com
󽁗
  ( )
 ,           14   -      
       :
       |        |
      |      -
  -   :

 
1
 
2
 
3
 
4
 
5
 
6
 
7
 
8
 
9
 
10
 
11
 
12
 
13
 
14
(       ;        )
󷗿󷘀󷘁󷘂󷘃     
    :
1.      
2.       
3.        
4.      
5.  ( 1)       
   ,            
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󷊭󷊮󷊯󷊱󷊰󷊲󷊳󷊴󷊵󷊶    
    :
     
     
      
    
     
             14   
 
8.            ?    
:󷋇󷋈󷋉󷋊󷋋󷋌 
 ()
        
     ,       
  ,     ,        
       ,       
 
󷊨󷊩 

    
        ,     
     
             

      ,     
            
 ,     ,    ()   

Easy2Siksha.com
 ,          
           ,    
   
        


       
       ,        
    ()   
 ()
          ,      

       ,         

       
󷙣󷙤󷙥  

   ,   
 ,    
               
      

          
     
         

     ,        
,     
     -      

 -   
           
Easy2Siksha.com
          ,    
󷈷󷈸󷈹󷈺󷈻󷈼  

        
      ,      
         
 / 
            
       
     ,      

             
  ,        
󽆪󽆫󽆬    
1.   :            
   
2.  :,            
  
3.  :           
,      
4.  :   ,       
,     
5.   :          
 ,         
󷊨󷊩
        , ,     
              
  ,             
             
       ,      