Simplification, General Mathematics

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: What fraction must be subtracted from the sum of `1/4` and `1/6` to have an averagge of `1/12` of all the three fraction ?.
A
`1/2`

B
`1/3`

C
`1/4`

D
`1/6`

Note: `1/4 + 1/6 - x ` `= 3 xx 1/12` or ` x = 1/6`.
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Question: The smallest fraction whivh should be subtracted from the sum of `1 3/4, 2 1/2, 5 7/12, 3 1/3` and `2 1/4` to make the result a whole number is .
A
`5/12`

B
`7/12`

C
`1/2`

D
`7`

Note: Sum of given numbers , `= 7/4 + 5/2 + 67/12 + 10/3 + 9/4` `= ((21 + 30 + 67 + 40 + 27)/12)` `= 185/12`. The whole number just less than `185/12` is `15`. Let` 185/12 - x = 15`. Then, `x = (185/12 - 15)` `= 5/12`.
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Question: on sports day ,if `30` children were made to stand in a colum ,`16` colums could be formed .If `24`chidren were made to stand in a colum,how many colums could be formed ?
A
`45`

B
`20`

C
`22`

D
`29`

Note: The number of children `= (30 xx 16)` = 480` Number of columns of `24` children each `= (480/24)` `= 20`
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Question: A third of vinod ,s marks in Mathmatices exceeds a half of his marks in socail Studies by `30`.If he got `240`marks in the two subjects together, how many marks did he get in social Studies ?
A
`40`

B
`60`

C
`80`

D
`None of these

Note: `1/3 M - 1/2 s = 30,` `s + M = 240` :. 3S - 2M = 180`, `S + M = 240` on solving, we get :S = 132`.
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Question: If`1/8` of a pencil is black, `1/2` of the remaining is white and the remaining `3 1/2` cm is blue ,then the total lengh of pencil is :
A
`6 cm`

B
`7 cm`

C
`8 cm`

D
`11 cm`

Note: Let, total length `= x cm`. Black part ` = x/8`. Remaining `(x - x/8)` `7x/8`. White part `= 1/2 xx (7x)/8` `= (7x)/16` Remaining `= ((7x)/8 - (7x)/16)` `(7x)/16` :. `(7x)/16` 7/2` or ` x = 16/2 ` `= b cm`.
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Question: The number of students in each section of a school is `24`.After admitting new student,three new sections were started. Now the total number of section is `16`and there are 21 students in each section.The number is new students admitted is ;
A
`24`

B
`14`

C
`48`

D
``114`

Note: Original number of section `= (16 - 3) = 13` Original number of student `= (24 xx 13) = 312`. Present number of students `= (21 xx 16) = 336`. Number of new students admitted `= (336 - 312) = 24`
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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 :

Question: What fraction must be subtracted from the sum of `1/4` and `1/6` to have an averagge of `1/12` of all the three fraction ?.

Question: The smallest fraction whivh should be subtracted from the sum of `1 3/4, 2 1/2, 5 7/12, 3 1/3` and `2 1/4` to make the result a whole number is .

Question: on sports day ,if `30` children were made to stand in a colum ,`16` colums could be formed .If `24`chidren were made to stand in a colum,how many colums could be formed ?

Question: A third of vinod ,s marks in Mathmatices exceeds a half of his marks in socail Studies by `30`.If he got `240`marks in the two subjects together, how many marks did he get in social Studies ?

Question: If`1/8` of a pencil is black, `1/2` of the remaining is white and the remaining `3 1/2` cm is blue ,then the total lengh of pencil is :

Question: The number of students in each section of a school is `24`.After admitting new student,three new sections were started. Now the total number of section is `16`and there are 21 students in each section.The number is new students admitted is ;