Quantitative Aptitude: Time and Work Set 7

Time and Work Questions for IBPS/SBI PO, NIACL, NICl, LIC, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams

1. A & B can separately finish the work in 30 days and 50 days respectively. They worked together and A left the work, so B complete the remaining work in 10 days. Find after how many days A left the work?
   A) 10days
   B) 12days
   C) 15days
   D) 20days
   E) 18days
   
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   Option C
   Solution:
   A = 30………..5
   B = 50……….3    (LCM = 150)
   A+ B = 8
   B’s work in 10days = 3*10 =30
   Means they together did ……120
   120/8= 15days
2. A is 20% more efficient than B and 50% more efficient than C. if they together can do a work in 24 days then find in how many days B alone can do the work?
   A) 60days
   B) 72days
   C) 90days
   D) 180days
   E) 100days
   
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   Option B
   Solution:
   .                  A ………B   |   A………C
   Efficiency    6……….5    |   3………2
   Days            5……….6   |   2………3
   Days A : B : C
   .        10 12 15
   A = 10……….6
   B = 12………..5 ….        (LCM = 60)
   C = 15………..4
   A+B+ C = 15
   60/15=4
   4=24
   1= 6
   B=12= 12*6 = 72days
3. A can make 10000 papers in an hour B can make 8000 papers in an hour. Find in how many days they both can make 5,90,000 papers, if A do work for 7 hours and B do work for 6 hours?
   A) 4days
   B) 3days
   C) 5days
   D) 6days
   E) 7days
   
   View Answer

   Option C
   Solution:
   A’s 1hr work = 10,000
   7hr work = 70,000
   B’s 1hr work = 8000
   6hr work = 48,000
   Total work of A& B of 1day = 70,000+48,000= 1,18,000
   So 590000/118000 = 5days
4. 7 men and 5 women can do a work in 6 days. Also 6 men and 7 women can do same work in 6 days. Find in how many days will 2 men & 2 women can finish the work?
   A) 19days
   B) 15days
   C) 10days
   D) 14days
   E) 22days
   
   View Answer

   Option A
   Solution:
   7M + 5W =6
   42M+30W = 1……………….(1)
   6M +7W =6
   36M + 42W =1……………..(2)
   FROM (1) & (2)
   . 42M + 30W =1
   -36M (-)+ 42W =(-)1
   6M -12W =0
   6M =12W
   M =2W…….PUT IT IN EQUATION(1)
   S0 .. 14W +5W= 6
   19W =6
   1W = 6*19
   6W = 6*19/6 =19DAYS
5. A & B can do a work in 18 days. They started work together and A left after 7 days and B did the remaining work in 33 days. Find in how many days A can alone do the work?
   A) 18
   B) 54
   C) 27
   D) 36
   E) 32
   
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   Option C
   Solution:
   let total work = 18
   Efficiency of A &B’s work of 1day =1
   In 7days they complete =7 work
   Remaining = 18-7 = 11
   B do 11 work = 33 days
   1 work = 3days
   18work = 54days
   So ……. A+B = 18…….3                (LCM = 54)
   .                 B = 54……..1
   So A = 3-1 = 2
   A = 54/2 =27days
6. A tap can fill a tank in 16 hrs but due to a leak it takes 6 hrs more. If leakage withdraw 9ltr water in an hour than find the quantity of tank?
   A) 520ltr
   B) 528ltr
   C) 536ltr
   D) 544ltr
   E) 576ltr
   
   View Answer

   Option B
   Solution:
   A = 16 ………….11                (LCM = 176)
   A+B=22 …………8
   So B = 11-8 = 3
   176/3 * 9= 528ltr.
7. A & B can do a work in 35 days and 45 days respectively. They worked for 10 days and after then they complete the work with the help of C in 15 days. If they all get Rs 770. Then find the share of C?
   A) 330
   B) 270
   C) 190
   D) 170
   E) 250
   
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   Option D
   Solution:
   A = 35…………..11          (LCM = 385)
   B = 45……………9
   A+B=20
   20*10 =200
   Remaining 385-200=185
   This work is completed in 5days. So 185/5=37
   A&B 5days work = 20*5=100
   C’s 5days work =85
   A………….B………………C
   11*15     9*15              85
   165         135               85
   33            27                17
   C’s share = 17/77  * 770 = 170
8. 1 man or 2 women or 3 children can do a work in 55 days. Find in how many days 1 man and 1 woman and 1 child can do the work?
   A) 30days
   B) 24days
   C) 25days
   D) 28days
   E) 32days
   
   View Answer

   Option A
   Solution:
   1M = 55   1
   2W =55    1            55
   2C =55     1
   We need 1day work of … 1M +1W+1C= 1+1/2+1/3 =11/6
   So …….. 55/(11/6) = 55/11 * 6=30 DAYS
9. A can a work in 50 days and B is 50% efficient than A. find in how many days A and B together can complete the work?
   A) 30
   B) 40
   C) 50
   D) 33(1/3)
   E) 16(2/3)
   
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   Option D
   Solution:
   B is 50% efficient than A
   .                   A………..B
   Efficiency      2……….. 1
   Days             1…………2
   1 == 50  . So 2 == 100
   A= 50……….2               (LCM = 100)
   B =100………1
   A+ B = 3
   100/3 =33(1/3) days.
10. A and B can do a work in 60days. B and C can do same work in 40 days and C and A can do same work in 50 days. Find in how many days will A,Band C work together will finish the work?
    A) 32(16/37)
    B) 42(14/37)
    C) 33(7/37)
    D) 43(9/37)
    E) 39(7/37)
    
    View Answer

    Option A
    Solution:
    A+B = 60…………10
    B+C = 40………….15…………….(LCM =.600)
    C+A = 50………….12
    2(A+B+C)            37
    A+B+C = 37/2
    = 600/37 * 2 = 32(16/37)

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