Quantitative Aptitude: Time and Work Set 18

1. Person 1 is thrice as good a workman as person 2 and so takes 30 days less than person 2 for doing a job. Calculate the time in which they can do the job together is.
   11 1/4
   12
   11
   12 1/2
   20
   Option A
   Let person 1 can finish the whole work in x days.
   Person 2 can finish the same work in 3x days.
   then 3x-x= 2x= 30
    x= 15 days
    Person 1 can finish the work in 15 days.
    Person 2 can finish in 45 days.
    A+B work = 1/15 + 1/45 = 4/45
    A+B can finish the work in 45/4 = 11 ¼ days
   
   
    



2. 32 men and 24 women together can complete a work in 16 days. 40 men can complete the same work in 32 days.How many days will 32 women can complete the same work ?
   10
   12
   15
   20
   18
   Option D
   (32 M + 24 W)* 16= 40 M * 32
   = 40M * 16 * 2
   32M + 24W = 80M
   24W =48M
   1W=2M-------1
   32W=64M-----2
   Now 40 men complete the work in 32 days.
   So 64 men complete the same work in 32* 40 / 64 = 20 days.
   Hence 32 women complete the same work in 20 days.
   
   
    



3. Four examiners can examine a certain number of answer papers in 10 days by working for 5 a day. for how many hours in a day would 2 examiners have to work in order to examine twice the number of answer papers in 20 days?
   10
   15
   20
   25
   12
   Option A
   M1 * D1* H1 / W1 = M2 * D2* H2 / W2
   M1 = 4 D1= 10 H1= 5
   W1 = 1 M2 =2 D2 = 20
   H2 = ? W2= 2
   4*10 *5/1 = 2* 20 *H2/2
   =>H2= 10h
   
   
    



4. 2 boys and 3 girls together or 4 boys can complete a piece of work in 20 days. 3 boys and 3 girls will complete the same work in how many days?
   
   15
   16
   17
   18
   19
   Option B
   2 boys + 3 girls= 4 boys
   =>2 boys = 3 girls
   =>3 boys + 3 girls = 5 boys ( 3 girls= 2 boys)
   M1D1= M2D2
   =>4* 20 = 5 *D2
   D2 = 16 days.
   
   
    



5. Varun gets Rs. 700 for every day that the works. If he runs Rs.19600 in a month of 62 days, for how many days did he work?
   
   21
   20
   23
   28
   25
   Option D
   Varun gets Rs.700 for 1 day of work
   Amount received by varun for 62 days.
   Number of days Varun worked in a month = 19600/ 700 =28 days.
   
   
    



6. Person A and Person B can complete a piece of work in 30days and 20 days respectively. Then contracted to complete the work for Rs. 60,000.The share of Person A in the contracted money will be
   
   24,000
   25,000
   20,000
   19,000
   26,000
   Option A
   Total amount = Rs.60,000
   Person A’s 1 day work = 1/30
   Person B’s 1 day work =1/20
   Ratio = 1/30 : 1/20 = 2:3
   Sum of the ratio = 2+3 = 5
   Person A’ s share = 2/5 * 60,000 = Rs.24,000
   
   
   
    



7. There are n number of workers can finish a project work in 15 days. If there are 3 workers could be finished in 5 days less. the original number of workers are:
   
   3
   5
   7
   4
   6
   Option E
   M1M2=M2D2
   n*15 = ( n+3) * 10
   n=6
   
   
    



8. 84 women can do a piece of work in 36 days. How many women are required to complete the same work in 42 days?
   
   72
   36
   78
   44
   67
   Option A
   84 women -- 36 days
   1 women--84 * 36 days
   Number of women required = 84 * 36/42 = 72 women
   
   
   
    



9. Person A earns Rs. 250 in 16 days and person B earns Rs.280 in 20 days. what is the ratio of their earnings?
   
   25:112
   12:112
   120:112
   125:112
   125:110
   Option D
   Required ratio = 250/16 : 280/ 20
   =5000:4480
   =125:112
   
   
    



10. Hasini and her daughter received Rs. 800 as wages for 5 days work. Hasini’s work was three times more efficiency han her daughter. Then what is the daily wage of her daughter?
    
    35
    40
    45
    55
    65
    Option B
    Hasini: daughter = 3:1
    daughter share = ¼ * 800 = Rs.200
    So daily wage = 200/ 5 = Rs.40