Simplification
 

  1. Question: In a garden ,there are `10` rows and `12` columns of mango trees .The distance between two trees is `2`metres and a distance of one metre is left from all sides of the boundary of the garden. The lengh of the garden is .

    A
    `20 m`

    B
    `22 m`

    C
    `24 m`

    D
    `26 m`

    Note: Each row contains `12` plants. ,Leaving `2` corner plants ,`10` plans in between have `(10 xx 2) metres & `1` metre on each side is left . :.Length `= (20 + 2) m = 22 m.
    1. Report

  2. Question: In a school `1/6`th of the girls and `1/7`of the boys took part in N.C.C camp .What fraction of the total number of students in the college took part in the camp ?

    A
    `13/40`

    B
    `13/80`

    C
    `2/13`

    D
    Data inadequate

    Note: Out of girls ,`1` took part in n.C.C Out of `7` boys ,`1` took part in N.C.C :. Out of `13` students ,`2` took part in N.C.C :.`1/13` of the total number took part in N.C.C
    1. Report

  3. Question: One third of the boys and one half of the girls of a college participate in a socail work project. If the number of participarting students is `300` out of which `100` are boys ,what is the total number of students in the college ?

    A
    `500`

    B
    `600`

    C
    `700`

    D
    `800`

    Note: Number of boys who participate `= 100`. `:. 1/3` of boys `= 100` or total number of boys `= 300`. Number of girls who participate `= 200` ``1/2` of girls `= 200` or total number of girls `= 400` `:. total number of students `= (300 + 400)` `= 700`
    1. Report

  4. Question: In an office ,`3/4` of the can niether type nor take shorthand .However `1/5th can type and `1/3` rd can take shorthand .What part of the whole staff can do both ?

    A
    `1/5`

    B
    `3/40`

    C
    `13/40`

    D
    `17/60`

    Note: Let total number be x, Then,the number who can type or take short hand `= (x - (3x)/4)` `= x/4`. Let A = set of person who can type & B = set of person who can take short hand . `:. n (A∪B) =x/4,n(A)` `= x/5 & n (B) = x/3`. `Now n(A∩B) = n(A) + n (A∪B)` `= (x/5 + x/3 - x/4)` `= ((12x + 20x - 15x)/60)` `= 17x/60` `= 17/60`of the whole .
    1. Report

  5. Question: The Expression `(1 - 1/3)(1 - 1/4)(1 -1/5)....(1 - 1/m) when simplifraction yeilds`.

    A
    `(1 - m)/m`

    B
    `2/m`

    C
    `2/m(m - 1)`

    D
    `2/(m(m + 1)`

    Note: `(1 - 1/3)(1 - 1/4)(1 - 1/5)...(1 - 1/m)` `= 2/3 xx 3/4 xx 4/5xx ....xx (m - 1)/m` `= 2/m`
    1. Report

  6. Question: when simplied ,the product `(2 - 1/3)(2 - 3/5)(2 - 5/3) ....( 2 - 999/1001)` is equal to :

    A
    `991/1001`

    B
    `1001/13`

    C
    `1003/13`

    D
    None of these

    Note: `(2 - 1/3)(2 - 3/5)(2 - 5/7)....(2 - 999/1001)` `= 5/3 xx 7/5 xx 9/7 xx...xx 1003/1001` `= 1003/3`.
    1. Report

  7. Question: A class starts at `10` a.m .and lasts till `1.27`p.m. Four periods are held during this interval .After every period, 5 minits are given free to the students .The exact duration of each period is .

    A
    `42 minutes `

    B
    `48 minutes `

    C
    `51 minutes `

    D
    `53 minutes `

    Note: Time between `10` a.m. and `13.27` hours `= 3`hours `27` min.`= 207` min. For three period in between free time `15 min` :.Remaining time `= (207 - 15)` min`= 192` min. Duration of each of the `4` periods `= (192/4)` min.`=48`.
    1. Report

  8. Question: A light was seen at intervals of `13` seconds .It was seen for the first time at `1` hrs min `50` secs.a.m. and the last time at `3 hrs``17 hrs` min `49` secs .a.m. How many times was light seen ?

    A
    `378`

    B
    `375`

    C
    `360`

    D
    `384`

    Note: Hrs min sec `3 − 17 − 4` `(-)1 − 54 − 50` _____________________ `1 − 22 − 59` _____________________ :. Toatal time `= (1 xx 60 + 22) min. + 59 sec.` `= (82 xx 60 + 59) sec. = 4979`. Number of times the light is seen `= (4979/13 + 1)` `= 384`.
    1. Report

  9. Question: A person gave Rs `2500` to eldest son,`5/12` of the whole property to the second son and to the youngest as much as to the first and second son toghether .How much did the youngest son get ?

    A
    `Rs 10000`

    B
    `Rs 15000`

    C
    `Rs 20000`

    D
    Rs 25000`

    Note: Let total property be worth of Rs .x.Then `2500 + (5x)/12 + (2500 + (5x)/12) = x` or` 2 (2500 + (5x)/12) = x` or` 5000 + (5x)/6 = x` or` x - (5x)/6 = 5000` `x/6 = 5000` or `x = 30000`. :. youngest son gets = Rs `(2500 + (5 xx 30000)/12)` `= Rs. 15000`.
    1. Report

  10. Question: `1/4` of Nikhil ,s money is equal to `1/6` of yogesh ,s money .If both together have Rs `600`, the difference between thier amounts is .

    A
    `Rs 50`

    B
    `Rs 120`

    C
    `Rs 240`

    D
    `Rs 230`

    Note: `1/4 N = 1/6 Y & N + y = 600` or `N = 2/3 `Y. So, `2/3 Y + Y =600` or `5/3` Y `= 600` :.Y` = (600 xx 3/5)` ` = 360` & N `= (2/3 xx 360)= 240` :.Y - N` = (360 - 240)` `= 120`.
    1. Report
First56789Last
/10
Copyright © 2024. Powered by Intellect Software Ltd