IBPS CLERK TIME AND WORK IMPORTANT QUESTIONS

1.       A and B can do a piece of work 72 days. B and C can do it in 120 days. A and C can do in 90 days. In what time A alone can do it?
A.      80 days                                                                         C. 100 days
B.      120 days                                                                       D. 150 days

2.       A works twice as fast as B. if both of them can together, they can finish the work in 12 days. Find the number of days needed for A to do the work alone.
A.      20 days                                                                          C. 33 days
B.      22 days                                                                          D.44 days

3.       6 boys can complete a piece of work in 16 h. in how many hours will  8 boys complete the same work ?
A.      10 hours                                                                       C. 12 hours
B.      8 hours                                                                         D. 14 hours

4.       If 5 boys take 7 h to pack 35 toys, how many boys can pack 65 toys in 3 hrs?
A.      26 boys                                                                         C. 45 boys
B.      39 boys                                                                         D. 65 boys

5.       A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in how many days?
A.      6 days                                                                           C. 5 days
B.      7 days                                                                           D. 10 days

6.       If 12 men and 18 women can do a piece of work in 14 days. How long will 8 men and 16 women take to finish the work?
A.      9 days                                                                           C. 12 days
B.      13 days                                                                         D. 45 days

7.       3 men can do a piece of work in 6 days. 5 women can do the same work in 18 days. If 4 men and 10 women work together, then how long  will take to finish the work?
A.      3 days                                                                           C. 5 days
B.      2 days                                                                           D. 4 days

8.       If one man or two women or three boys can finish work in 88 days, then how many days will one man, one women and one boy together take to finish the same work?
A.      46 days                                                                         C. 48 days
B.      54 days                                                                         D. 60 days

9.       There are sufficient food for 800 men for 62 days. After 56 days, 560 men leave the place. For how many days will the rest of the food last for the rest of the men?
A.      16 days                                                                         C. 30 days
B.      20 days                                                                         D. 15 days

10.   A, B and C can do a piece of work in 18 , 24 , 36 days respectively, they work alternately, first day C, second day B and third day  A, fourth day C and so on. How many days will be needed to complete the work like this way?
A.      18 days                                                                         C. 20 days
B.      24 days                                                                         D. 30days

1.(A+B)’s 1 day’s work = 1/72
(B+C)’s 1 day’s work = 1/120
(C+A)’s 1 day’s work = 1/90
2(A+B+C)’s 1 day’s work
= 1/72+1/120+1/90
-Ă  (A+B+C)’s 1 day’s work = 5+3+4/360X2
= 12/360X2= 1/60
A’s 1 day’s work = (A+B+C)’s 1 day’s work –(B+C)’s 1 day’s work
= 1/60-1/120=  2-1/120
= 1/120
A alone can finish the work in 120 days.
2.
let time taken by B = x
than time taken by A = 2x
and time taken by C   = 3x
According to the question,
1/x+1/2x+1/3x= 1/12
1+1/2+1/3  = 1/12
6+3+2/6     = x/12
11= x/2
X= 22
Required number of days = 2x = 2X22 = 44 days
3. according to the formula,
M1T1W2 = M2T2W1
Here, M1 = 6, M2 = 8, T1 = 16, T2 =?
W1=W2= 1
6X16X1 =8XT2X1
T2 = 16X6/8  = 2X6
T2 = 12 hours
4. According to the formula
Here, M1=5, M=?, T1= 7, T2 = 3,W1 = 35, W2 = 65
Now, 5X7X65= M2X3X35
M2 = 5X7X65/35X3 = 65/3
65 boys are required
5.  (A+B)’s 2day’s work = 2X1/3 = 2/3
A’s 2 days work (1-2/3)  = 1/3
B’s 2 days work (2/3-1/3)=  1/3
B’s 1 day work is   = 1/6
B will take 6 day’s to compleate the work alone.
6.           12 men = 18 women
1 man = 18/12 women
8 men = 18/12X8 = 12 women
According to the formula,
18X14X1 = (12+16)X D2 X1
D2 = 14X18/28
= 9 days.
7.            18 men = 5X 18 = 90 women
1 man = 5 women
4 men + 10 women = 4X5 + 10
= 30 women
According to the formula,
M1D1W2 = M2D2W1
5X18X1  =  30XD2X1
D2 = 5X 18/ 30 = 3 days
D2 = 3 days
8.            1 man = 2 women = 3 boys
1 man + 1 woman + 1 boy
= (3+3/2+1) boys
= 11/2 boys
= then the basic formula, M1D1 = M2D2
D2 = M1D1/M2
3X2X88 / 11
= 48 days
9.            the rest of the food will last for (62- 56) = 6 days if nobody leaves the place.
Thus, the rest of the food will last for 6 (800/240) days for 240 men left.
Requried answer = 6X 800/240 = 20 days
20 days
10           work done in frist three days
= 1/18+1/24+1/36
= 4+3+2/72 = 1/8
Time taken to complete 1/8 part of work = 3 day’s
Time taken to compleate whole work  = 3X8 = 24 days.

TIME AND WORK IMPORTANT QUESTIONS FOR IBPS CLERK EXAM Reviewed by SSC IBPS on 14:53:00 Rating: 5