Practice MCQ Questions and Answer on Time and Work

121.

Working efficiencies of P and Q for completing a piece of working are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in the ratio ?

(A) 3 : 2
(B) 2 : 3
(C) 3 : 4
(D) 4 : 3

Solution: Since we know efficiency and time are inversely proportion to each other. $\begin{aligned} P : Q \\ Efficiency 3 : 4 \\ Time 4 : 3 \end{aligned}$

122.

A can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in ?

(A) 16 days
(B) 24 days
(C) 35 days
(D) 28 days

Solution: $\begin{aligned} 18A = 12A + 8B \\ 6A = 8B \\ \frac{A}{B} = \frac{4}{3} \\ So, \\ Efficiency of A and B are 4, 3. \\ Total work \\ = 18 \times 4 \\ = 72 units \\ So, B will do \\ = \frac{72}{3} \\ = 24 days \end{aligned}$

123.

A and B can do a piece of work in 72 days, B and C can do it in 120 days and A and C can do it in 90 days. In how many days all three together can do the work ?

(A) 80 days
(B) 100 days
(C) 60 days
(D) 150 days

Solution: In these kind of questions, always take total work as L.C.M. of number of days. Here L.C.M. of Total Work = 360 One day work of A + B = $\frac{360}{72}$ = 5 unit/day One day work of B + C = $\frac{360}{120}$ = 3 unit/day One day work of C + A = $\frac{360}{90}$ = 4 unit/day ∴ Total units/day = 5 + 3 + 4 = 12 (Here , 12 unit represents twice of the work done by A, B and C. So we will divide it by 2) Work done by (A + B + C) per day = $\frac{12}{2}$ = 6 units/day ∴Total time taken by (A + B + C) $\begin{aligned} = \frac{360}{6} \\ = 60 days \end{aligned}$

124.

If 2 men or 6 women or 4 boys can finish a work in 99 days, how many days will one man, one woman and one boy together take to finish the same work ?

(A) 44 days
(B) 54 days
(C) 64 days
(D) 104 days

Solution: Answer & Solution Answer: Option E Solution: $\begin{aligned} 1 men's 1 day's work \\ = \frac{1}{99 \times 2} \\ = \frac{1}{198} \\ 1 women's 1 day's work \\ = \frac{1}{99 \times 6} . \\ = \frac{1}{594} \\ 1 boy's 1 day's work \\ = \frac{1}{99 \times 4} \\ = \frac{1}{396} \end{aligned}$ (1 men + 1 women + boy)'s 1 day's work $\begin{aligned} = \frac{1}{198} + \frac{1}{594} + \frac{1}{396} \\ = \frac{11}{1188} \\ = \frac{1}{108} \end{aligned}$ Hence, 1 mens , 1 women and 1 boys together take 108 days to finish the work.

125.

A daily-wages labourer was engaged for a certain number of days for Rs. 5750, but being absent on some of those days he paid only Rs. 5000. What were his maximum possible daily wages ?

(A) Rs. 125
(B) Rs. 250
(C) Rs. 375
(D) Rs. 500

126.

A can finish a work in 18 days and B can do the same work in half the time take by A. Then, working together, what part of the same work they can finish in a day ?

(A) $\frac{1}{6}$
(B) $\frac{1}{9}$
(C) $\frac{2}{5}$
(D) $\frac{2}{7}$

Solution: $\begin{aligned} A's 1 day's work = \frac{1}{18} \\ And \\ B's 1 day's work = \frac{1}{9} \\ ∴ {(A + B)}^{'} s 1 day's work \\ = (\frac{1}{18} + \frac{1}{9}) \\ = \frac{1}{6} \end{aligned}$

127.

Anuj and Manoj can together paint their house in 30 days. After working for 20 days, Anuj has to go out and Manoj finished the remaining working the next 30 days. If Manoj had gone away after 20 days instead of Anuj, then Anuj would have completed the remaining work in ?

(A) 15 days
(B) 20 days
(C) 25 days
(D) 35 days

Solution: $\begin{aligned} (Anuj + Manoj)'s 20 day's work \\ = (\frac{1}{30} \times 20) \\ = \frac{2}{3} \\ Remaining work \\ = (1 - \frac{2}{3}) \\ = \frac{1}{3} \\ Manoj's 30 day's work = \frac{1}{3} \\ ∴ Manoj's 1 day's work = \frac{1}{90} \\ Anuj's 1 day's work \\ = (\frac{1}{30} - \frac{1}{90}) \\ = \frac{2}{90} \\ = \frac{1}{45} \end{aligned}$ If Manoj had gone away after 20 days, then the remaining $\frac{1}{3}$ work would have been done by Anuj. $\frac{1}{45}$ work is done by Anuj in 1 day $\frac{1}{3}$ work would be done by Anuj in $\begin{aligned} = (45 \times \frac{1}{3}) \\ = 15 days \end{aligned}$

128.

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

(A) 11 days
(B) 13 days
(C) $20 \frac{3}{17}$ days
(D) None of these

Solution: $\begin{aligned} Ratio of times taken by A and B \\ = 100 : 130 = 10 : 13 \\ Suppose B takes x days to do the work \\ Then, 10 : 13 :: 23 : x \\ \Rightarrow x = \frac{23 \times 13}{10} \\ \Rightarrow x = \frac{299}{10} \\ A's 1 day's work = \frac{1}{23} \\ B's 1 day's work = \frac{10}{299} \\ (A + B)'s 1 day's work \\ = \frac{1}{23} + \frac{10}{299} \\ = \frac{23}{299} \\ = \frac{1}{13} \\ ∴ A and B together can complete \\ the work in 13 days . \end{aligned}$

129.

40 men can complete a piece of work in 18 days. Eight days after they started working together, 10 more men joined them. How many days will they now take to complete the remaining work ?

(A) 6 days
(B) 8 days
(C) 10 days
(D) 12 days

Solution: Let D days required to complete the remaining work $40_{men} \times 18_{days}$ = $(40_{men} \times 8_{days})$ + $(50_{men} \times D)$ $\begin{aligned} \Rightarrow 720 - 320 = 50 D \\ \Rightarrow D = 8 \end{aligned}$

130.

P can finish a work in 18 days. When he had worked for 5 days, Q joined him. If both of them together completed the remaining work in $\frac{13}{5}$ days, then in how many days can Q alone finish $66 \frac{2}{3} %$ ÃÂÃÂ of the same work?

(A) 2
(B) 3
(C) 4
(D) 5

Solution: $\begin{aligned} Total work = 18 P = 5 P + \frac{13}{5} (P + Q) \\ 13 P = \frac{13}{5} P + \frac{13}{5} Q \\ \frac{52}{5} P = \frac{13}{5} Q \\ \frac{P}{Q} = \frac{1}{4} \\ Total work = 18 \times 1 = 18 \\ 66 \frac{2}{3} % of work = \frac{2}{3} \times 18 = 12 \\ Q days = \frac{12}{4} = 3 days \end{aligned}$

«
1
2
...
10
11
12
13
14
15
16
...
35
36
Next ›
Last »

Indian Polity Mcq IAS GK Question India GK World GK GK questions GK Quiz Biology GK Science GK Physics GK Chemistry GK General Awareness Computer GK Political GK Indian Political GK Economics GK History GK Sports GK Geography GK Teaching Aptitude GK CTET/TET GK B Ed Entrance GK Banking GK SSC GK UPSC GK Indian Army GK Hindi Grammar GK Hindi Grammar MCQ Reasoning questions Bihar GK Rajasthan GK Jharkhand GK MP GK UP GK Chhattisgarh GK Haryana GK HP GK Maharashtra GK Electronics GK Agriculture GK States/Capitals GK Books Name & Author Arthimetic Verbal Reasoning Non Verbal Reasoning English

Practice MCQ Questions and Answer on Time and Work

General Knowledge