Decimal Fractions, General Mathematics

Question: The G.C.D.of `1.08, .36` and `.9` is :
A
`.03`

B
`.9`

C
`.18`

D
`.108`

Note: Given numbers are `1.08, .36` and `.90`. H.C.F of `108, 36` and `90` is `18`. :.H.C.F. of given numbers `= .18`
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Question: The H.C.F. of `0.54, 18`and `7.2`is :
A
`1.8`

B
`.18`

C
`.018`

D
`18`

Note: Given numbers are `0.54,1.80` and `7.20`. H.C.F.of `54,180` and `720` is `18`. :.H.C.F of given numbers `= .18`
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Question: The L.C.M of `3,2.7`and `.09` is :
A
`2.7`

B
`.27`

C
`.027`

D
`27`

Note: Given numbers are `3.00, 2.70` and `09`. L.C.M of `300, 270` and `9` is `2700`. :. L.C.M.of given numbers `= 27.00`= 27`.
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Question: `253 xx .154` is the same as :
A
`2.53 xx .00154`

B
`25.3 xx 1.54`

C
`253 xx .0154`

D
`2.53 xx .0154`

Note: Sum of decimal places in given product`= 5` Sum of decimal places in `253 xx .00154` is `5`. `:. 2.53 xx .154 = 253 xx .00154`.
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Question: If `√15 = 3.88,` the value of `√5/3` is :
A
`0.43`

B
`1.89`

C
`1.29`

D
`1.63`

Note: `√5/3 = √(5 xx 3)/(3 xx 3)` `= √15/3 = (3,88)/3` `= 1.29`
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Question: If `√4096 = 64`then the value of : √40.96 + √0.4096 + √0.004096 + √0.00004096 `is :
A
`7.09`

B
`7.1014`

C
`7.1104`

D
`7.12`

Note: `√40.96 + √0.4096 + √0.004096 + √0.00004096` `= √4096/100 + √4096/10000 + √4096/1000000 + √4096/100000000` `= ((64/10 + 64/100 + 64/1000 + 64/10000))` `= (6.4 + .64 + .064 + .0064)` `= 7.1104`
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Question: If`√5 = 2.24`, then the value of `(3√5)/(2√5 - 0.48)` is :
A
`0.168`

B
`1.68`

C
`16.8`

D
`168.

Note: `(3√5)/(2√5 - 0.48)` `= (3 xx 2.24)/(2 xx 2.24 - 0.48)` `= 6.72/(4.48 - 0.48)` `= 6.72/4` `= 1.68`.
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Question: If`.5x = 0.04y`,then the value of `((y - x)/(y + x))` is :
A
`730/77`

B
`73/77`

C
`7.3/77`

D
None

Note: `x/y = 0.04/1.5` `= 4/100 = 2/75`. `:. (x - y)/(x + y) =(1- x/y)/(1 + x/y)` `= (1 - 2/75)/(1 + 2/75)` `= 73/77`
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Question: `1` litre of water weighs 1 kg.How many cubic milliletress of water will weighs `0.1` gm .
A
`0.1`

B
`1`

C
`10`

D
`100`

Note: `1000` gm is the weight of `1000` cu.mm. `1` gm is the weight of `1` cu.cm `= 1000`cu.cm. `1/10` gm is the weight of `(1000/10)` cu .mm `= 100` cu.mm.
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Question: If `√.05 xx .5 xx a = .5 xx .05 xx √b`, then `a/b` is equal to :
A
`.0025`

B
`.025`

C
`.25`

D
None

Note: `√.05 xx .5 xx a` `= .5 xx .05 xx √b`. `:. (√a)/(√b) = (.5 xx .05)/(√.5 xx .05)` `= √.5 xx .05` `:. a/b = .5 xx .05` `= .025`
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Question: The G.C.D.of `1.08, .36` and `.9` is :

Question: The H.C.F. of `0.54, 18`and `7.2`is :

Question: The L.C.M of `3,2.7`and `.09` is :

Question: `253 xx .154` is the same as :

Question: If `√15 = 3.88,` the value of `√5/3` is :

Question: If `√4096 = 64`then the value of : √40.96 + √0.4096 + √0.004096 + √0.00004096 `is :

Question: If`√5 = 2.24`, then the value of `(3√5)/(2√5 - 0.48)` is :

Question: If`.5x = 0.04y`,then the value of `((y - x)/(y + x))` is :

Question: `1` litre of water weighs 1 kg.How many cubic milliletress of water will weighs `0.1` gm .

Question: If `√.05 xx .5 xx a = .5 xx .05 xx √b`, then `a/b` is equal to :