Time and Work- Aptitude Questions and Answers - in Hindi

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20 persons completed 1/3 rd of the work in 12 days. How many more person are required to finish the rest work in next 12 days?


20 व्यक्तियों ने 12 दिनों में एक कार्य का 1/3 भाग पूरा किया। अगले 12 दिनों में शेष कार्य पूरा करने के लिए कितने और लोगों की आवश्यकता है?

A)
20

B)
12

C)
18

D)
40


Correct Answer :

20


Explanation :

Work done by 20 persons = 1/3
Remaining work = 1- 1/3 = 2/3
So for double work in same days we need double number of people i.e. 40.

Hence, 20 more people are needed.

6 children and 2 men complete a certain piece of work in six days. Each child takes twice the time taken by a man to finish the work. In how many days will 5 men finish the same work?


6 बच्चे और 2 पुरुष छह दिनों में एक निश्चित काम पूरा करते हैं। प्रत्येक बच्चा एक पुरुष द्वारा किए गए कार्य की तुलना में दो गुना अधिक समय लेता है। 5 पुरुष कितने दिनों में कार्य पूरा करेंगे?

A)
6

B)
8

C)
9

D)
15


Correct Answer :

6


Explanation :

6C + 2M = 6 days
36C + 12M = 1 day
As is given 1M = 2C
Then, 36C +12*2C = 1 day
60 children can work in 1 day
Now, 5 men = 10 children
Then, 10 children can work in 6 days.So 5 men also can complete the work in 6 days.

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same work in 2 days,then the time taken by 15 men and 20 boys in doing the same type of work will be?


यदि 6 आदमी और 8 लड़के दस दिनों में एक कार्य कर सकते हैं, जबकि 26 पुरुष और 48 लड़के 2 दिनों में वही कार्य कर सकते हैं, तो 15 पुरुषों और 20 लड़कों द्वारा उस कार्य को करने में लगने वाला समय क्या होगा?

A)
4

B)
6

C)
8

D)
9


Correct Answer :

4


Explanation :

Let a man one day work is X and a boy one day work is Y. Then
6x + 8y =1/10
26x + 48y =1/2
After resolving above equations

x =1/100
y =1/200

15x + 20y = 15/100+20/200 = 1/4
Hence, 15 men and 20 boys to do that work in 4 days

6 men or 10 women can reap a field in 15 days, then the number of days that 12 men and 5 women will take to reap the same field is :


6 पुरुष या 10 महिलाएं 15 दिनों में एक खेत को काट सकती हैं, 12 पुरुषों और 5 महिलाओं को उसी खेत को काटने में कितने दिन लगेंगे?

A)
5

B)
6

C)
8

D)
12


Correct Answer :

6


Explanation :

Work done by 6 men = work done by 10 women.
Work done by 1 man = work done by 10 / 6 women= 5/3 women

∴ 12 men + 5 women = 12 x ( 5 / 3) + 5 = 25 women
∴ W1 * D1 = W2 * D2 [W = women, D=days]
10 * 15 = 25 * D2
D2 = 6

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is?


A 15 दिनों में और B 20 दिनों में एक कार्य कर सकता है। यदि वे एक साथ 4 दिनों के लिए इस पर काम करते हैं, तो शेष कार्य क्या है?

A)
1/4

B)
4/10

C)
7/15

D)
8/15


Correct Answer :

8/15


Explanation :

A's 1 day's work = 1/15
B's 1 day's work = 1/20
(A + B)'s 1 day's work = 1/15 + 1/20 = (4+3) / 60 = 7/60
(A + B)'s 4 day's work = (7/60) * 4 = 7/15

Therefore, Remaining work = 1 – (7/15) = 8/15

A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work?


यदि A और B एक साथ काम करते हैं, तो कोई काम 30 दिनों में पूरा कर सकते हैं। उन्होंने 20 दिनों तक एक साथ काम किया और फिर B ने काम छोड़ दिया। A ने अन्य 20 दिनों में शेष कार्य समाप्त कर दिया। A अकेले कितने दिनों में काम पूरा कर सकता है?

A)
60

B)
50

C)
40

D)
30


Correct Answer :

60


Explanation :

Amount of work done by A and B in 1 day = 1/30
Amount of work done by A and B in 20 days = 20 × (1/30) = 20/30 = 2/3
Remaining work = 1 – (2/3) = 1/3

A finished the remaining work in another 20 days.
So , A completes 1/3 work in 20 days
Amount of work A can do in 1 day = (1/3)/20 = 1/60
A can complete the work in 60 days

3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?


3 पुरुष और 7 महिलाएं 10 दिनों में एक काम पूरा कर सकते हैं। लेकिन उसी काम को पूरा करने के लिए 4 पुरुषों और 6 महिलाओं को 8 दिनों का समय चाहिए। 10 महिलाएं उसी काम को कितने दिनों में पूरा करेंगी?

A)
60

B)
50

C)
40

D)
30


Correct Answer :

40


Explanation :

Work done by 4 men and 6 women in 1 day = 4m + 6w = 1/8---(1)
Work done by 3 men and 7 women in 1 day = 3m + 7w = 1/10 ---(2)

After solving equation (1) and (2) , m=11/400 and w=1/400
Amount of work 10 women can do in a day = 10 * (1/400) = 1/40
i.e, 10 women can complete the work in 40 days

P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?


P एक काम को 18 दिनों में पूरा कर सकता है। Q वही काम 15 दिनों में पूरा कर सकता है। Q ने 10 दिनों तक काम किया और काम छोड़ दीया। P अकेले कितने दिनों में शेष कार्य को समाप्त कर सकता है?

A)
8

B)
5

C)
4

D)
6


Correct Answer :

6


Explanation :

Work done by P in 1 day = 1/18
Work done by Q in 1 day = 1/15
Work done by Q in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which P can finish the remaining work = (1/3) / (1/18) = 6

A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?


A एक काम 20 दिनों में 80% पूरा करता है। फिर B जुड़ता है और A और B मिलकर शेष कार्य को 3 दिनों में पूरा करते हैं। B अकेले कितने समय में काम पूरा कर सकता है?

A)
75/2 days

B)
22 days

C)
31 days

D)
21 days


Correct Answer :

75/2 days


Explanation :

Work done by A in 20 days = 80/100 = 4/5
Work done by A in 1 day = (4/5) / 20 = 4/100 = 1/25 --- (1)

Work done by A and B in 3 days = 20/100 = 1/5 (Because remaining 20% is done in 3 days by A and B)
Work done by A and B in 1 day = 1/15 ---(2)

Work done by B in 1 day = 1/15 – 1/25 = 2/75
B can complete the work in 75/2 days

P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in?


P एक कार्य को उतने समय में कर सकता है जितने समय में Q और R मिलकर उस कार्य को कर सकते हैं। यदि P और Q एक साथ कार्य करते हैं, तो कार्य 10 दिनों में पूरा हो सकता है। अकेले R को उसी कार्य को पूरा करने के लिए 50 दिनों की आवश्यकता होती है। तो Q अकेले ही उस कार्य को कितने दिनों में कर सकता है?

A)
30 days

B)
25 days

C)
31 days

D)
21 days


Correct Answer :

25 days


Explanation :

Work done by P and Q in 1 day = 1/10 , Work done by R in 1 day = 1/50

Thus, Work done by P, Q and R in 1 day = 1/10 + 1/50 = 6/50
But Work done by P in 1 day = Work done by Q and R in 1 day . Hence the above equation can
be written as
Work done by P in 1 day * 2 = 6/50
Work done by P in 1 day = 3/50
i.e. Work done by Q and R in 1 day = 3/50

Hence work done by Q in 1 day = 3/50 – 1/50 = 2/50 = 1/25
So Q alone can do the work in 25 days

A and B can do a piece of work in 72 days, B and C can do it in 120 days, A. and C can do it in 90 days. Who is more efficient?


A और B एक काम 72 दिनों में कर सकते हैं, B और C वह काम 120 दिनों में कर सकते हैं, A और C उसी काम को 90 दिनों में कर सकते हैं। कौन अधिक कुशल है?

A)
A

B)
B

C)
C

D)
Can t be determined


Correct Answer :

A


Explanation :

Combined efficiency of A and B =1/72 ...(i)
Combined efficiency of B and C =1/120 ...(ii)
Combined efficiency of A and C =1/90 ...(iii)
Adding Eqs (i), (ii) and (iii),
2 (A + B + C) = 1/72 + 1/120 + 1/90 =(5 +3+ 4) / 360 = 12/360 = 1/30
So, A + B + C =1/60 . ..(iv)

Subtracting Eq. (i) from Eq. (iv), we get
C's efficiency =1/60 - 1/72 = 1/360
Subtracting Eq. (ii) from Eq. (iv), we get
A's efficiency =1/60 - 1/120 = 1/120
Subtracting Eq. (iii) from (iv), we get
B's efficiency =1/60 - 1/90 = 1/180
Cearly, A is most efficient.

5 men can complete a work in 12 days and 9 women take 20 days to complete the same work.How many days will 6 men and 12 women take to complete the work?


5 पुरुष एक कार्य को 12 दिनों में पूरा कर सकते हैं और 9 महिलाओं को वह कार्य पूरा करने में 20 दिन लगते हैं। 6 पुरुष और 12 महिलाओं कितने दिनों में उस कार्य को पूरा कर सकते हैं?

A)
8 days

B)
6 days

C)
4 days

D)
7 days


Correct Answer :

6 days


Explanation :

a man can complete the work in (5 *12) days =60 days
a women can complete the work in (9 *20) days= 180 days
a man one day work =1/60
a woman one day work=1/180

(6 men + 12 women) one day work=6 *(1/60) + 12*(1/180) =1 /10 + 1/15 = 5/30 = 1/6
hence, 6 men and 12 women will finish the work in 6 days.

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