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 contains 4 places of decimal. 
`:. 63 / 9 =.07`

(ii) `204 /17 = 12`
Divided contains 4 places of decimal
`0.0204 / 17 =.0012`

(iii)  `31603 / 13 =2431`
Divided contains 4 places of decimal.
 `:. 3.1603 / 13 = .2431`






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  3. Question:Evaluate:
(i) `35/.07`

(ii) `.00066/.11`

(iii) `5.6/0.008` 
    Answer
    (i) `35/.07`

 `=(35 xx 100)/(.07 xx 100)` 

 `=3500/7` 

 `=500`


 (ii) `.00066/.11`

 =`(.00066 xx 100)/(.11 xx 100)` 

 =`.066/11` 

 = `006`


 (iii) `5.6/0.008`

 `=(5.6 xx 100)/(.008 xx 100)`

 `=5600/8` 

 `=700`






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  4. 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)` 

 = `0.06/10` 

 `=.01`


(ii) `x/.025 = 80`

 or `x/.025=80` 

`:. x = 80 xx .025 =2`






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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, 105 and 210 is 21.

 `:.` H.C.F of. 63, 1.05 and 2.10 is 0.21.

  L.C.M of 63, 105 and 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 ascending order of magnitude. 
    Answer
    Converting each of the given fractions 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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