General Mathematics



  2. Question:Divide :
    (i) `0.63` by `9`
    
   (ii) `0.0204` by `17`
    
   (iii) `3.1603` by `13` 
    Answer
    (i )`63 ÷ 9=7`.

 Dividend contain` 2` places of decimal.
  
 :.`0.63 ÷ 9 = .07`.

 (ii) `204 ÷ 17 =12`.

 Dividend contains `4` places of decimal.
   
 :. `0.0204 ÷ 17 = .0012`.

 (iii) `31603 ÷ 13 = 2431 `.

 Dividend contains `4`places of decimal.
   
 :.`3.1606 ÷ 13 = .2431`.






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  3. Question:(i)` 0.006  ÷ ? =0.6`     (ii) `? ÷ .025 = 80` 
    Answer
    (i) `(0.006)/x = 0.6 or x`

` = (0.006)/(0.6) = (0.006 xx 10)/(0.6 xx 10) `

 `= (0.06)/6 = .01`

 (ii) ` x ÷ .0025 = 40` 0r `x/(.025) =80`.
     
   :. `x =  80 xx .025 = 2`.






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  4. Question:Evaluate :
  (i)` 35 ÷ .07`     

 (ii)` .00066 ÷ 0.11`   

 (iii)` 5.6÷ 0.008` 
    Answer
    (i) ` 35/.07 = (35 xx 100)/(.07 xx 100) = (3500)/7 = 500`.

 (ii) ` (0.00066)/(0.11) = (0.00066 xx 100)/(0.11 xx 100) = (.066)/11 = .006`.

 (iii) ` (5.6)/(0.008) = (5.6 xx 1000)/(0.008 xx 1000) = (5600)/8 = 700`.






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  5. Question:Find the H.C.F and L.C.M of` .63, 1.05`and `2.1`. 
    Answer
    Making the same number of decimal places ,the given numbers are `0.63, 1.05` and `2.10`.
Without decimal places ,these numbers are `63, 105` and `210`.
Now, H.C.F. of `.63, 1.05`and `210` is `21`.
:.H.C.F of `.63, 1.05` and `2.1` is `0.21`.
L.C.M. of `63, `05` & `210` is `630`.
:.L.C.M of `63, 1.05` and `2.1` is `6.30`.






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  6. Question:Arrange the fractions `5/8, 7/12, 13/16, 16/29,`and `3/4` in acsending order of magnitude. 
    Answer
    Converting  each of the given fraction into decimal form, we get :

`5/8 = 0.625, 7/12 = 0.5833, 13/16`

` = 0.8125, 16/29 = 0.5517 & 3/4 = 0.75`.
 
 Now `0.5517 < 0.5833 < 0.625 <0.75 < 0.8125`
 
 :. `16/29 < 7/12 <5/8 <3/4 < 13/16`.






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