1. Question:26.Find the sum of all odd numbers upto 100. 

    Answer
    The given numbers are `1,3,5,7.....99,`
    This an A.P with a=1 and d =2.
    Let it contain n terms.Then,
    `1+(n-1) xx 2=99 or n=50.`
    `:.`Required sum =`n/2 ("first terms" + "last terms")`
                           =`50/2 xx (1+99)=2500`.






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  2. Question:Find the sum of all `2` digit numbers divisible by `3`. 

    Answer
    All 2 digit numbers divisible by `3` are :
    
     `12,15,18,21,......99`.
    
     This is an A.P. with `a =12` and `d=3`.
    
     Let it contain n terms.Then,
    
     `12+(n-1) xx 3=99` or `n=30`.
    
     Required sum =`30/2 xx (12+99) = 1665`.






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  3. Question:`12846 xx 593+12846 xx 407` 

    Answer
    `= 12846 xx (593+407)`
    
     `= 12846 xx 1000`
    
     `= 12846000`






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  4. Question:`987 xx 999` 

    Answer
    `=987 xx (1000-1)`
         ` =(987 xx 1000)-(987 xx 1)`
         ` =(987000-987)`
          ` =986013`






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  5. Question:`469157 xx 9999` 

    Answer
    =4691570000-469157
     =4691100843






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