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# SBI PO Time and Work Quiz practice set 1

IBPS EXAM Guru

1 . Amit and Sujit together can complete an assignment of data entry in 5 days. Sujit’s speed is 80 % of Amit’s speed and the total key depressions in the assignment are 5,76,000. What is Amit’s speed in key depressions per hour If they work for 8 hours a day ?

 A.   4800 B.   6400 C.   8000 D.   7200
2 . 4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If , 2 men, 4 women and 10 children work together, in how many days can the work be completed?

 A.   1 day B.   3 days C.   2 days D.   4 days
3 . 12 men can do a piece of work in 10 days. How many men would be required to do the same work in 8 days ?

 A.   14 B.   18 C.   16 D.   None of these
4 . ‘A’ can complete a piece of work in 12 days. ‘A’ and ‘B’ together can complete the same piece of work in 8 days. In how many days can ‘B’ alone complete the same piece of work?

 A.   15 days B.   18 days C.   24 days D.   28 days
5 . 12 men take 36 days to do a work while 12 women complete $3\over 4$ th of the same work in 36 days. In how many days 10 men and 8 women together will compelete the same work?

 A.   6 B.   27 C.   12 D.   None of these
6 . Three men, four women and six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women Alone can complete this work in 7 days ?

 A.   8 B.   7 C.   12 D.   None of these
7 . M and N can do a work in 10 days and 15 days respectively. If M starts on the work and both work alternately day after day. in how many days will the work be completed ?

 A.   10 B.   12 C.   8 D.   9
8 . 6 women and 6 men together can complete a piece of work in 6 days. In how many days can 15 men alone complete the piece of work if 9 women alone can complete the work in 10 days?

 A.   6 B.   5 C.   7.2 D.   None of these
9 . Four examiners can examine a certain number of answer papers in 10 days by working for 5 hours 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 ?

 A.   8 hours B.   7$1\over 2$ hours C.   10 hours D.   8$1\over 2$ hours

1 .
 Answer : Option C Explanation : Let Amit's spped be x key depressions per day.Sujit's speed $4x\over 5$ key depressions per day5$\times$ + 5 $\times$ $4x\over 5$ = 576000$\Rightarrow$ 9 $x$ = 576000$\Rightarrow$ $x$ = $576000\over 9$ = 64000Amit's speed per hour = $64000\over 8$= 8000
2 .
 Answer : Option A Explanation : 4 × 2 men $\cong$4 × 4 women = 20 children2 men $\cong$ 4 women $\cong$ 5 children2 men + 4 women + 10 children = 20 children$M_1 D_1 = M_2 D_2$5 x 4 = 20 x D$_2$ $\Rightarrow$ D$_2$ = 1 day
3 .
 Answer : Option D Explanation : Days $\,\,\,\,\,\,\,\,\,$ Men10$\uparrow$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,12\downarrow$$\,$ 8$\uparrow$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, x$$\downarrow$Where $x$= No. of Men8 : 10 :: 12 : $x$$\Rightarrow 8 \times x = 10 \times 12$$\Rightarrow$ x = $10 + 12\over 8$ = 15
4 .
 Answer : Option C Explanation : A’s 1 day’s work = $1\over 12$(A + B)’s 1 day’s work = $1\over 8$B’s 1 day’s work = $1 \over 8$ - $1\over 12$ = $3 - 2 \over 24$ = $1\over 24$B alone can do the work in 24 days.
5 .
 Answer : Option B Explanation : In 36 days 12 men can do 1 complete work.In 36 days 12 women can do $3\over 4$ th of the workSince time and the no, of persons in the same is both casses,1 woman’s daily work $3\over 4$ th of 1 man’s daily work8 woman’s daily work = $3\over 4$ × 8 = 6 meri’s daily work(10 men + 8 womens daily work)= (10 men + 6 men)= 16 men’s daily work.12 men can do the work is 36 days16 men can do the work is 36 × $12\over 16$ = 27 days.
6 .
 Answer : Option B Explanation : 2 men = 1 woman1 man = $1\over 2$ women3 men = $3\over 2$ womenAgain, 2 children = 1 man = $1\over 2$ women1 child = $1\over 4$ women6 children = $6\over 4$ = $3\over 2$ womenNow, three men, four women and six children= $3\over 2$ + 4 + $3\over 2$= 7 womenHence, 7 women complete the work in 7 days
7 .
 Answer : Option B Explanation : Work done in 1st two days = $1 \over 10$ + $1\over 15$= $3 + 2 \over 30$ = $1 \over 6$Number of days = 12
8 .
 Answer : Option D Explanation : $M_1D_1\over W_1$ = $M_2D_2\over W_2$ $\Rightarrow$ $6\times 6\over W_1$ = $9 \times 10 \over 1$$\Rightarrow W_1 = 6 \times 6\over 9 \times 10 = 2\over 5Part of work done by 6 women in 6 days = 2 \over 5Part of work done by 6 men in 6 days = 1 – 2 \over 5 = 3 \over 5$$M_1D_1\over W_1$ = $M_2D_2\over W_2$ $\Rightarrow$ $6\times 6\over W_1$ $\Rightarrow$ $6 \times 6 \over {3\over 5}$ = $15 \times D_2 \over 1$$\Rightarrow 15 \times D_2 = 6 \times 6 \times 5\over 3 = 60\Rightarrow D_2 = 60\over 15 = 4 day 9 .  Answer : Option C Explanation : Examiners\,\,\,\,\,\,\,\,\,\, Work\,\,\,\,\,\,\,\,\,\, Days\,\,\,\,\,\,\,\,\,\, Hours / day \,\,\,\,\,\,\,\,\,\,4\uparrow$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$1$\downarrow$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,10\uparrow$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$5$\downarrow$$\,\,\,\,\,\,\,\,\,\,2\uparrow$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$2$\downarrow$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,20\uparrow$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$x$$\downarrow$(2 : 4), (1 : 2) & (20 : 10) :: (5 : $x$)$\Rightarrow$$2 \times 20 \times x= 4 × 10 × 5 × 2$$\Rightarrow$ $x$ = $4 \times 10 \times 5 \times 2 \over 2\times 20$ = 10 hours