General Mathematics

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: `5005 - 500 ÷ 10.00 = ?`
A
`0.5`

B
`50`

C
`5000`

D
`4505`

Note: Given Exp, `= 5005 - 500 ÷ 10` `= 5005 - 500` `= 4505`
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Question: On simplifaction, the expression `1-[1 - {1 - (1 - 1 - 1)}]`yields.
A
`0`

B
`1`

C
`2`

D
`3`

Note: Given Exp, `= 1 -[1 - {1 - (1 - bar1 - 1)}]` `= 1 - [1 - {1 - (1 - 0)}]` `= 1 - [1 - {1 - 1}]` `= 1 - [1 - 0]` `= (1 - 1)` `= 0`
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Question: How many pieces of `0.85` metres can be cut from a rod `42.5`metres long .
A
`30`

B
`40`

C
`60`

D
None of these

Note: Number of pieces , `= 42.5/0.85` `= 42.50/0.85` `= 4250/85` `= 50`
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Question: `b - [b - (a + b) - {b - (b - a - b)} + 2a]`
A
`2b`

B
`a - b`

C
`a + b`

D
None of these

Note: Given Exp , `= b - [b - (a + b) - {b - {b - bara - b)} + 2a]` `= b - [b -a - b - {b - (b - a + b)} + 2a]` `= b - [-a - {b - 2b + a + 2a}]` `= b - [- a - {- b + 3a}]` `= b - [ -a + b - 3a]` `= b - [- 4a + b]` `= b + 4a -b` `= 4a`.
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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 :

Question: `5005 - 500 ÷ 10.00 = ?`

Question: On simplifaction, the expression `1-[1 - {1 - (1 - 1 - 1)}]`yields.

Question: How many pieces of `0.85` metres can be cut from a rod `42.5`metres long .

Question: `b - [b - (a + b) - {b - (b - a - b)} + 2a]`