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Quants Questions : Time And Work Set 4

Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in Time and Work, which is common for  competitive exams like SSC CHSL,SSC CGL,FCI EXAM . We have included Some questions that are repeatedly asked in bank exams !!!

  1. 6 men and 5 boys can do a piece of work in 10 days while 20men and 45 boys can do the same in 2 days, how much time taken by 13 men and 25 boys in doing the same work ?
    A)2(1/3)days
    B)3(1/3)days
    C)4(1/3)days
    D)2(1/2) days
    B)3(1/3)days
    Explanation :
    (6m+5b)10 = (20m+45b)2
    60m+50b = 40m + 90b
    20m = 40b
    1m = 2b
    6m+5b =12b+5b = 17b in 10 days
    13m+25b = 26b+25b = 51b in  ? days
    17:10 = 51 :?
    17*10/51 = ? = 3(1/3) days

  2. P and Q Working separately can do a piece of work in 6 days and 11 days, if they work alternately beginning with P then the work will be completed in how many days ?
    A)10 days
    B)6 days
    C)8 days
    D)5 days
    C)8 days
    Explanation :
    Total work = 6*11 = 66
    2 days(P+Q) = 1/6 + 1/11 = (11+6)/66 = 17/66
    6 days(P+Q) = 51/66
    Remaining work = (1-(51/66)) = 15/66
    In 15, 6 done by P remaining done by Q (2 days)
    6+2 = 8 days

  3. 3 men and 5 women do a piece of work in 9 days and 2 men 7 children do the same in 6 days. How many women can do as much work as 21 children ?
    A)5
    B)7
    C)8
    D)10
    D)10
    Explanation :
    3m+5w = 9days…….(1)6m+10w = 18 days
    2m+7c = 6 days…….(2)6m+21c = 18 days
    21c = 10w

  4. If 12 persons can complete 3/5 of a work in 10 days, then find the number of persons required to complete the remaining work in 10days ?
    A)7
    B)8
    C)9
    D)10
    B)8
    Explanation :
    12*10*(3/5) = m *10*(2/5)
    M = 72/4 = 18 men

  5. P can complete the work in 16 days. P and Q can complete the work in 12days. In how many days Q alone can complete the same work ?
    A)32
    B)46
    C)48
    D)38
    C)48
    Explanation :1/12 – 1/16 = (16 – 12)/192 = 4/192 = 1/48

  6. A can complete a piece of work in 8 days and B can complete the work in 10 days and C in 12 days. B and C together worked for 3 days, then C left the work and A replaced him. In how many days will the remaining work be completed ?
    A)1
    B)2
    C)3
    D)4
    B)2
    Explanation :
    (x-3)/8 + (x/10) + (3/12) = 1
    (5x-15+4x)/40 = 1-3/12 = 12-3/12 = 9/12 = ¾
    9x – 15 = 3*40/4 = 30
    X = 45/9 = 5 (3days completed )
    5 -3 = 2 days

  7. A can finish a piece of work in 24 days. B is 20% more efficient than A and C is 25% more efficient than B. Find the time B and C will take to finish the work?
    A)7days
    B)6days
    C)8days
    D)9days
    D)9days
    Explanation :
    A= 1/24
    B = 120/100(1/24) = 1/20
    C= 125/100(1/20) = 1/16
    B+C =(1/20) + (1/16) = 16+20/320 = 36/320 = 8.88 = 9 days

  8. Seven men can complete a work in 10 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men ?
    A)7
    B)6
    C)8
    D)9
    A)7
    Explanation :
    7 men 1 day’s work will be 1 / 10
    7 men 5 days work will be 5 / 10 = 1/2  remaining work will be (1- 1/ 2) = 1 / 2
    1 man 1 day work will be 1 / (10*7) = 1 / 70
    5 mens 1 day work will be 5 / 70
    (70/5)*( 1 / 2) =  7 days

  9. If 40 people can make 60 toys in 8 hrs, if 8 people leave the work, how many toys can make in 12 hrs ?
    A)68
    B)71
    C)72
    D)70
    C)72
    Explanation :
    (40*8)/60 = (32*12)/x
    X = (32*12*60)/320 = 72 toys

  10. 18 Women can complete a work in 10 days. 16 men complete the work in 12 days. The ratio of working capacity of man to that of a woman is
    A)15:16
    B)16:15
    C)15:14
    D)14:15
    A)15:16
    Explanation :1/(16*12) : 1/(18*10) = 1/192 : 1/180 = 1/16 : 1/15 = 15:16