1. Question:`108 ÷ 36` of `1/4 + 2/5 xx 3 1/4`. 

    Answer
    Given Expression, 
    
    `= 108 ÷ 9 + 2/5 xx 13/4`
    
    `= 108/9 + 13/10`
    
    `= (12 + 13/10)`
    
    `= 133/10`
    
    `= 13 3/10`.

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  2. Question:`1/3 ÷ 5/3 + 1/4 xx 3/5 - 2/5` of `5/7`. 

    Answer
    Given Expression,
    
    `1/2 ÷ 5/3 + 1/4 xx 3/5 - 2/5` of `5/7`
    
    `= 1/3 ÷ 5/3 + 1/4 xx 3/5 - 2/7`
    
    `= 1/3 xx 3/5 + 3/20 - 2/7`
    
    `= 1/5 + 3/20 - 2/7`
    
    `= (4 + 3)/20 - 2/7`
    
    `= 7/20 - 2/7`
    
    `= ((49 - 40)/(140))`
    
    `= 9/140`.

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  3. Question:`3.5 ÷ 0.7` of `7 + 0.5 xx 0.3 - 0.1` 

    Answer
    Given Expression ,
    
    `= 3.5 ÷ 4.9 + 0.5 xx 0.3 - 0.1`
    
    `= 3.5/4.9 + 0.15 - 0.1`
    
    `= 5/7 + 15/100 - 1/10`
    
    ` 5/7 + (15 - 10)/100`
    
    `= 5/7 + 5/100`
    
    `= 5/7 + 1/20`
    
    `= ((100 + 7)/(140))`
    
    `= 107/140`
    
    `= 0.764`

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  4. Question:`2 - [3 - {6 - { (5 - bar4 - 3) } ]` 

    Answer
    Given Expression ,
    
    ` = 2 - [3 - { 6 - (5 - 1) } ]`
    
    `= 2 - [3 - {6 - 4} ]`
    
    `= [3 - 2]`
    
    `= (2 - 1)`
    
    `= 1`.

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  5. Question:`[3 1/4 ÷ {1 1/4 - 1/2 (2 1/2 - bar1/4 - 1/6)}]` 

    Answer
    `[13/4 ÷ { 5/4 - 1/2 (5/2 - (3-2)/12)}]`
    
    `= [13/4 ÷ { 5/4 - 1/2 (5/2 - 1/12)}]`
    
    `= [ 13/4 ÷ { 5/4 - 1/2 ((30 - 1)/12)}]`
    
    `= [ 13/4 ÷ { 5/4 - 29/24}]`
    
    `= [ 13/4 ÷ { (30 - 29)/24}]`
    
    `= [ 13/4 ÷ 1/24]`
    
    `= [ 13 xx 24]`
    
    `= 78`.

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  6. Question:If `617 ÷ 24.68 + x = 90`,find the value of `x`. 

    Answer
    Let, `617 ÷ 24.68 + x = 90`.
    
    Then,
    
    `617/24.68 + x = 90`
    
    or `25 + x = 90`
    
    or `x = (90 - 25)`
    
    `= 65`

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  7. Question:`1 +1/` `1 + 1/` `1 + 1/5` 

    Answer
    Given Expression ,
        `1 + 1/`
    
        `1 + 1/((6/5))`
    
        `= 1 + 1/`
    
        `= 1 +5/6`
    
        `= 1 + 1/(11/6)`
    
        `= (1 + 6)/(11)`
    
        `= 16/11`.

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  8. Question:`1 - 5/` `7 + 1` `4 + 1` `2 + 1/3` 

    Answer
    Given Expression ,
    
     `= 1 - 5/`
    
     `7 + 1/`
    
     `4 + 1/(7/3)`
    
     `= 1 - 5/`
        
     `7 + 1/4 + ( 3/7)`
    
     `= 1 - 5/`
        
     ` 7 + 1/(31/7)`
    
     `= 1 - 5/`
        
     
     `7 + 7/(31)`
    
     `= 1 - 5/(224/31)`
    
     `= (1 - (5 xx 31)/(224))`
    
     `= ((224 -155)/(224))`
    
     `= (69)/(224)`

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  9. Question:A boy was asked to multiplied a certain number by `53`.He multiplied it by `35` and got his answar less than the correct one by `1206`.Find the number to be multiplied 

    Answer
    Let the required number be x.Then,
    
    `53x -35x`
    
    `= 1206` or `18x`
    
    `= 1206` or `x = 67`
    
    :. Required number `= 67`.

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  10. Question:In a callege, `1/5`th of the girls and `1/8` th of the boys took part in a social comp. What of the total number of students in the college took part in the camp. 

    Answer
    Out of `5` girls `1` took in the camp.
    
    Out of `8` boys `1` took part in the camp.
    
    :. Out of `13` students ,`2` took part in the camp .
    
    :.`2/13` of the total strength took part in the camp .

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