General Mathematics
 

  1. Question: 12 men can complete a work in 18 days. Six days after they started working, 4 men joined them. How many days will all of them take to finish the remaining work ?

    A
    9

    B
    10

    C
    12

    D
    15

    Note: solution: `(12 xx 18)` men can complete the work in 1 day. `:. 1` man's 1 day's work `= 1/216`. `12`men's 6 day's work `= (1/18 xx 6)` `= 1/3`. Remaining work `=(1 - 1/3)` `= 2/3`. `16` men's 1 day's work `= 16/216` `= 2/27`. `2/27` work is done by them in 1 day. `2/3` work is done by them in `(27/2 xx2/3)` `= 9` days.
    1. Report

  2. Question: Twelve men can complete a work in 8 days. Three days after they started the work, 3 more men joined. In how many days will all of them together complete the remaining work ?

    A
    2

    B
    4

    C
    5

    D
    6

    Note: solution: `1` man's 1 day's work `= 1/96`. `12` men's 3 day's work `= (1/8 xx 3)` `= 3/8`. Remaining work `= (1 - 3/8)` `= 5/8`. `15` men's 1 day's work `= 15/96`. Now, `15/96` work is done by them in 1 day `:. 5/8` work is done by them in `(96/15 xx 5/8)` `= 4` days.
    1. Report

  3. Question: A, B and C are employed to do a piece of work for Rs. 529. A and C are supposed to finish `19/23` of the work together. How much shall be paid to B ?

    A
    Rs. 82

    B
    Rs. 92

    C
    Rs. 300

    D
    Rs. 437

    Note: solution: Work done by B `= (1 - 19/23)` `= 4/23`. `:. (A + B) : B = 19/23 : 4/23` `= 19 : 4`. `:. B`'s share `= Rs. (529 xx 4/23)` `= R's 92`.
    1. Report

  4. Question: A job is completed by 10 men in 20 days and by 20 women in 15 days. How many days will it take for 5 men and 10 women to finish that work ?

    A
    `17 1/2`

    B
    `17 1/7`

    C
    `17`

    D
    `17 1/120`

    Note: solution: Let 1 men's 1 day's work `= x` & 1 woman's 1 day's work `= y`. Then, `10x = 1/20` and `20y = 1/15`. So, `x = 1/200 and y = 1/300`. `:.`(5 men + 10 women)'s 1 day's work `= (5/200 + 10/300)` `= 7/120`. So, they will finish the work in `120/7` `= 17 1/7`days.
    1. Report

  5. Question: A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in :

    A
    1 day

    B
    2 days

    C
    3 days

    D
    4 days

    Note: solution: Let 1 man's 1 day's work `= x & 1` woman's 1 day's work `= y`. Then, `6x + 5y = 1/6, 3x +4y = 1/10`. On solving, we get `x = 1/54` and `y = 1/90`. (9 men + 15 women )'s 1 day's work `= (9/54 + 15/90)` `= 1/3`. `:.` They will finish the work in 3 days.
    1. Report

  6. Question: 4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women working together finish it ?

    A
    `24`

    B
    `32`

    C
    `36`

    D
    `40`

    Note: solution: Let 1 men's 1 day's work `= x & 1` woman's 1 day's work `= y`. Then, `4x + 6y = 1/8` and `3x + 7y = 1/10`. Solving, we get :` y = 1/400`. `:. 10` women's 1 day' work `= 10/400` `= 1/40`. `:. 10` women will finish the work in `40` days.
    1. Report

  7. Question: 12 children take 16 days to complete a work which can be completed by 8 adults in 12 days. 16 adults started working and after 3 days 10 adults left and 4 children joined them. How many days will it take them to complete the remaining work ?

    A
    `6`

    B
    `8`

    C
    `4`

    D
    `3`

    Note: solution: Let 1 chile's 1 day's work `= x & 1` adult's 1 day's work `= y`. Then, `12x = 1/16 or x = 1/192 and 8y = 1/12 or y = 1/96`. Work done in 3 days `=(16 xx 1/96 xx3)` ` = 1/2`. Work left `= (1 - 1/2)` `= 1/2`. (6 adults + 4 children)'s 1 day's work `= (6/96 + 4/192)` `= 1/12`. `1/2` work is done by them in 1 day. `1/2` work is done by them in `(12 xx 1/2)` `= 6`days.
    1. Report

  8. Question: Ram can do a piece of work in 8 days which Shyam can finish in 12 days. If they work at it on alternate days with Ram beginning, in how many days, the work will be finished ?

    A
    `9 1/3`

    B
    `9 1/2`

    C
    `9 1/24`

    D
    `10 1/3`

    Note: solution: (Ram + Shyam)'s 2 days work `= (1/8 + 1/12)` `= 5/24`. Their 8 day's work `= (5/24 xx 4)` `= 5/6`. Their 9 day's work `=(5/6 + 1/8)` `= 23/24`. Remaining work `= (1 - 23/24)` `= 1/24`. Now it is Shyam's turn. `1/12` work is done by him in 1 day. `1/24` work is done by him in `(12 xx 1/24)` `= 1/2` day. `:.` Total time taken `= 9 1/2` days.
    1. Report

  9. Question: A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately, A beginning, in how many days the work will be completed ?

    A
    `10 1/2`

    B
    `10 1/3`

    C
    `10 1/4`

    D
    `10 2/3`

    Note: solution: `(A + B)'s 2` day's work `= (1/9 + 1/12)` `= 7/36`. Work done in 5 pairs of days `= (5 xx 7/36)` `= 35/36`. Remaining work `= (1 - 35/36)` `= 1/36`. On 11th day, it is A's turn. `1/9` work is done by him in 1 day. `1/36` work id done by him in `(9 xx 1/36)` `= 1/4`day. `:.`Total time taken `= 10 1/4` days.
    1. Report

  10. Question: A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately, A beginning, in how many days the work will be completed ?

    A
    `1o 1/2`

    B
    `10 1/3`

    C
    `10 1/4`

    D
    `10 2/3`

    Note: solution: `(A + B)'s 2` day's work `= (1/9 + 1/12)` `= 7/36`. Work done in 5 pairs of days `= (5 xx 7/36)` `= 35/36`. Remaining work `= (1 - 35/36)` `= 1/36`. On 11th day, it is A's turn. `1/9` work is done by him in 1 day. `1/36` work id done by him in `(9 xx 1/36)` `= 1/4`day. `:.`Total time taken `= 10 1/4` days.
    1. Report
First1314151617Last
/143
Copyright © 2024. Powered by Intellect Software Ltd