General Mathematics

Question: The value of `4 - 5/` `1 + 1/` `3 + 1/` `2 + 1/4` is :
A
`40/31`

B
`4/9`

C
`1/8`

D
`31/40`

Note: Given Exp , `= 4 - 5/` `1 + 1/` `3 + 1/` `2 + 1/4` `= 4 - 5/` `1 + 1/` `3 + 1/((9∕4))` `= 4 - 5/` `1 + 1/` `3 + 4/9` `= 4 - 5/` `1 + 1/((31/9))` `= 4 - 5/` `1 + 9/31` `= 4 - 5/((40∕31))` `= (4 - (5 xx 31)/40)` `= (4 - 31/8)` `= 1/8`
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Question: The simplification of `((75983 xx 75983 - 45983 xx 45983)/30000)`yeilds:
A
`121796`

B
`121866`

C
`121956`

D
`121966`

Note: Given Exp , `= ((75983)^2 - (45983)^2)/30000` `= ((75983 + 45983)(75983 - 45983))/30000` `= (121966 xx 30000)/30000` `= 121966`
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Question: The value of `((343 xx 343 xx 343 + 257 xx 257 xx 257)/(343 xx 343 - 343 xx 257 + 257 xx 257))` is :
A
`8600`

B
`800`

C
`600`

D
`2600`

Note: Given Exp , `= ((343)^3 + (257)^2)/((343)^2 - 343 xx 257 + (257)^2)` `= ((a^3 + b^3)/(a^2 - ab + b^2))`,`where a = 343 and b = 257` `= (a + b)` `= (343 + 257)` `= 600`.
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Question: Four children A,B,C and D divide a bag of sweets .A takes `1/3`of them ,B `2/5`th of the remainder and the rest is equally shared between C and D.What fraction of the sweets did c or D get ?
A
`1/5`

B
`1/17`

C
`1/6`

D
`1/4`

Note: A' s share = `1/3`. Remainder `= (1 - 1/3) = 2/3` B 's share `= 2/5 of 2/3 = 4/15`. Rest,`= (2/3 - 4/15)` `= 6/15` `= 2/5` `C s share `= D,s share `= 1/2 of 2/5 = 1/5`.
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Question: The value of `1 + 1/(4 xx 3) + 1/(4 xx 3^2) + 1/(4 xx 3^3)` is :
A
`121/108`

B
`3/2`

C
`31/2`

D
None of these

Note: Not available
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Question: The value of `1/4 + 1/(4 xx 5) + 1/(4 xx 5 xx 6)` correct to four decimal places is :
A
`0.3075`

B
`0.3082`

C
`0.3083`

D
`0.3085`

Note: Given Exp, `= (5 xx 6 + 6 +1)/(4 xx 5 xx 6)` `= 37/120` `= 0.3083`.
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Question: `1/(1.2.3) + 1/(2.3.4) + 1/(3.4.5) + 1/(4.5.6)` is equal to :
A
`7/30`

B
`11/30`

C
`13/30`

D
`17/30`

Note: Given Exp, `= (4.5.6 + 5.6 + 2.6 + 2.3)/(1.2.3.4.5.6)` `= (120 + 30 + 12 + 6)/720` `= 168/720` `= 21/90` `= 7/30`
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Question: The value of `1/` `3 + 2/` `2 + 1/2` is
A
`5/19`

B
`19/5`

C
`4/5`

D
`5/4`

Note: Given Exp , `= 1/` `3 + 4/5` `= 5/19`.
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Question: A boy was asked to multiply a certain number by `25`.He multiplied it by `52` and got his answar more than the correct one by `324`. The number to be multipiesd was :
A
`12`

B
`15`

C
`25`

D
`32`

Note: Let the required number be x.Then , `52x - 25x` `= 324` or ` 27x=324` or ` x= 12`. :.Required number` = 12`.
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Question: The student was asked to multiply a given number by `8/17`.Instead ,he divided the given number by `8/17`.He answar was `225`more than the correct answar.The given number was :
A
`8`

B
`17`

C
`64`

D
`136`

Note: Let the given number be x. `(x ÷ 8/17) - (x xx 8/17) = 225` or ` (x xx 17/8) - (x xx 8/17)= 225` or `(17x)/8 - (8x)/17 = 225` or `289x - 64x` `= 225 xx 136` or `x = (225 xx 136)/225` `= 136`
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Question: The value of `4 - 5/` `1 + 1/` `3 + 1/` `2 + 1/4` is :

Question: The simplification of `((75983 xx 75983 - 45983 xx 45983)/30000)`yeilds:

Question: The value of `((343 xx 343 xx 343 + 257 xx 257 xx 257)/(343 xx 343 - 343 xx 257 + 257 xx 257))` is :

Question: Four children A,B,C and D divide a bag of sweets .A takes `1/3`of them ,B `2/5`th of the remainder and the rest is equally shared between C and D.What fraction of the sweets did c or D get ?

Question: The value of `1 + 1/(4 xx 3) + 1/(4 xx 3^2) + 1/(4 xx 3^3)` is :

Question: The value of `1/4 + 1/(4 xx 5) + 1/(4 xx 5 xx 6)` correct to four decimal places is :

Question: `1/(1.2.3) + 1/(2.3.4) + 1/(3.4.5) + 1/(4.5.6)` is equal to :

Question: The value of `1/` `3 + 2/` `2 + 1/2` is

Question: A boy was asked to multiply a certain number by `25`.He multiplied it by `52` and got his answar more than the correct one by `324`. The number to be multipiesd was :

Question: The student was asked to multiply a given number by `8/17`.Instead ,he divided the given number by `8/17`.He answar was `225`more than the correct answar.The given number was :