Time and Work- Aptitude Questions and Answers - in Hindi

View in English View in Hindi

A is twice as good as workman as B and therefore able to finish a piece of work in 30 days less than B. In how many days can they complete the whole work together?


A, B की तुलना में दोगुना बेहतर श्रमिक है और किसी कार्य को B से 30 दिनों से कम समय में पूरा करने में सक्षम है। कितने दिनों में वे एक साथ पूरे कार्य को समाप्त कर सकते हैं?

A)
20 days

B)
40 days

C)
60 days

D)
80 days


Correct Answer :

20 days


Explanation :

Let A takes X days to complete the work and B takes 2X days
according to question, A takes 30 days less than B, that is X = 2X – 30
X=30

thus ,A take 30 days to complete the work and B takes 60 days
hence, A and B one days work is 1/30 + 1/60 = 1/20

Therefore, the whole job together they will be completed in 20 days

16 workers working 6 hours day can build a wall of length 150m, breadth 20m, and height 12m in 25 days. In how many days 12 workers, working 8 hours a day will build a wall of length 800m, breadth 15m and height 6m?


16 लोग 6 घंटे प्रतिदिन काम करके एक 150 मीटर लंबी, 20 मीटर चौड़ी और 12 मीटर ऊँची दीवार को 25 दिन में बना सकते हैं। 12 लोग 8 घंटें प्रतिदिन काम करके 800 मीटर लंबी 15 मीटर चौड़ी और 6 मीटर ऊँची दीवार कितने दिन में बना सकते हैं?

A)
50 days

B)
25 days

C)
25 days

D)
60 days


Correct Answer :

50 days


Explanation :

to build a wall of 150*20*12=36000 ,hours required = 16*6*25=2400

to build a wall of 800*15*6=72000 , which is exactly twice as big as the first one,
You need 2400*2 hours = 4800
that is 12*8*days = 4800
days = 4800/96 = 50

A can do a piece of work in 10 days while B can do the same work in 20 days. They start together but A leaves after three days. How many days will B take to complete the remaining work?


A एक काम को 10 दिन में कर सकता हैं जबकि B उसी काम को 20 दिन में कर सकता है। वे दोनो एक साथ काम शुरू करते हैं, लेकिन 3 दिन बाद A काम छोड़ देता हैं। बचे हुए काम को करने में B को कितने दिन का समय लगेगा?

A)
14 days

B)
8 days

C)
12 days

D)
11 days


Correct Answer :

11 days


Explanation :

One day's work of A and B = (1/10 + 1/20) = 3/20

Work done by A and B together in the 3 days = 3 (1/10 + 1/20) = 9/20
Remaining Work =1- 9/20 = 11/20

1/20 Work done by B in a day
thus,11/20 Work wll be done by B in (11/20)*20 =11 days

If 3 men or 4 women can reap a field in 30 days, how long will 3 men and 6 women take to reap it?


3 पुरूष या 4 महिलाएं एक खेत को 30 दिनों में काट सकते है, उसी खेत को काटने में 3 पुरूषों और 6 महिलाओं को कितना समय लगेगा?

A)
21 days

B)
16 days

C)
18 days

D)
12 days


Correct Answer :

12 days


Explanation :

3 men can complete work in 30 days
so, Work done by one man in a day = 1/(3*30)
and Work done by one women in a day =1/(4*30))

Thus, 3 men and 6 women will work in a day => 3/(3*30) + 6/(4*30)
= 1/30( 1 + 6/4)
= (1/30)*(10/4) =>1/12

3 men and 6 women do 1/12th part of work in a day,so they will complete the work in 12 days

A is twice as good a workman as B, and finishes the work in 14 days less than B. In how many days can it be done by A alone?


A, B से दोगुना बेहतर श्रमिक है, और किसी काम को B से 14 दिन पहले ख़त्‍म करता है, तो A अकेला उसी काम को कितने दिन में ख़त्‍म करेगा?

A)
14

B)
21

C)
28

D)
42


Correct Answer :

14


Explanation :

let A take X days to complete the work and B takes 2X days
according to question, A takes 14 days less than B, that is X = 2X – 14 =>14

thus ,A take 14 days to complete the work and B takes 28 days.

30 persons can do a piece of work in 24 days. How many more people are required to complete the work in 20 days?


30 व्यक्ति एक काम को 24 दिनों में कर सकते है काम को 20 दिनों में पूर्ण करने हेतु कितने और व्यक्तियों की आवश्यकता है?

A)
4

B)
5

C)
6

D)
10


Correct Answer :

6


Explanation :

let X persons required to complete the work in 20 days
then, work done => 30 * 24 = X *20

thus ,num of persons, X = 720 / 20 => 36

extra ,more people required = 36 - 30 = 6 persons

A is twice as good workman as B. Together, they finish the work in 14 days. In how many days can it be finish by B separately?


A, B से दो गुना अच्छा श्रमिक है । वे एक साथ एक कार्य को 14 दिन में समाप्त कर दे ते है । B को अकेले इस कार्य को समाप्त करने में कितने दिन का समय लगेगा?

A)
21

B)
48

C)
42

D)
35


Correct Answer :

42


Explanation :

let A take X days to complete the work and B takes 2X days
(A+B) one day work = 1/X + 1/2X = 1/14
=>14+7=X
=>X=21

Thus ,
B working alone will require 2*21=42 days to complete the work
A working alone will require 21 days to complete the work

A can do a piece of work in 30 days while B can do it in 40 days. In how many days can A and B working together do it ?


A, 30 दिनों में एक कार्य कर सकता है जबकि B वह 40 दिनों में कर सकता है। कितने दिन A और B मिलकर यह कार्य कर सकते हैं?

A)
70 days

B)
171/4 days

C)
190/7 days

D)
120/7 days


Correct Answer :

120/7 days


Explanation :

If X can do a piece of work in n days, then X's 1 day's work =1/n

Then (A + B)'s 1 day's work = (1/30 + 1/40) = 7/120
Hence, Time taken by both to finish the work = 120/7 days

A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?


A एक कार्य 20 दिनों में कर सकता है जबकि B वह 12 दिनों में कर सकता है। B ने 9 दिनों तक कार्य किया। A शेष कार्य को कितने दिन में समाप्त कर सकता है?

A)
3 days

B)
5 days

C)
7 days

D)
11 days


Correct Answer :

5 days


Explanation :

If X can do a piece of work in n days, then X's 1 day's work =1/n

B's 9 day's work = 9 * (1/12) = 3/4
Remaining work = (1 - 3/4) = 1/4
1/4 work is done by A in = 20 * (1/4) = 5 day

A and B together can do a work in 8 days. If A alone can do it in 12 days, then in how many days can B alone do it?


A और B एक साथ 8 दिनों में एक कार्य कर सकते हैं। यदि A अकेले इसे 12 दिनों में कर सकता है, तो B अकेले इसे कितने दिनों में कर सकता है?

A)
12 days

B)
20 days

C)
24 days

D)
28 days


Correct Answer :

24 days


Explanation :

If X can do a piece of work in n days, then X's 1 day's work =1/n
If A and B, working together,and can complete a piece of work in X days. If A, working alone, can
complete the work in Y days, then B working alone, will complete the work in XY/(Y-X) days.

Then ,B alone can complete = (12 * 8) / (12 - 8) = 96/4 = 24 days

A can do a piece of work in 12 days. B is 60% more efficient than A. The number of days, it take B to do the same piece of work is ?


A एक कार्य 12 दिनों में कर सकता है। B, A की तुलना में 60% अधिक कुशल है। B को कार्य करने में कितना समय लगेगा ?

A)
15/2

B)
25/4

C)
8

D)
6


Correct Answer :

15/2


Explanation :

A's 1 day's work = 1/12
B's 1 day's work = 1/12 + 60% of 1/12 = 1/12 x 160/100 = 2/15

Hence,B can do the work in 15/2 days

X is 4 times more efficient than Y, in what proportion will the number of days taken by X and Y to complete any work?


X, Y की तुलना में 4 गुना अधिक कुशल है, तो किसी कार्य को समाप्त करने के लिए X और Y द्वारा लिए गए दिनों की संख्या किस अनुपात में होगी?

A)
8 : 1

B)
1 : 5

C)
6 : 8

D)
5 : 1


Correct Answer :

1 : 5


Explanation :

If A is twice as good a workman as B, then:
(a) Ratio of work done by A and B is 2:1.
(b) Ratio of times taken by by A and B to finish a work is 1:2.

Efficiency (X : Y) = 5 : 1
No. of days (X : Y) = 1 : 5

Latest Updates

Trigonometry

What is the value of cot 4π/3 ?

Indian Politics

Article-24 of the Indian Constitution ‘Prohibition of employment of children in factories, etc’ deals with?

Article-134A of the Indian Constitution ‘Certificate for appeal to the Supreme Court’ deals with?

Chemistry

Who invented Aspirin?

Physics

A larger force on a rotating body results in larger?

What is the unit of the physical quantity, magnetic flux density?

Algebra

The system of equations 2x + 4y = 6 and 4x + 8y = 8 is ?

Time and Distance

A thief is spotted by a policeman from a distacne of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the theif is 8 km / hour and that of the policeman is 10 km/hour, then how far will the theif have to run before he is overtaken?

Algebra

Aman and Alok attempted to solve a quadratic equation. Aman made a mistake in writing down the constant term and ended up in roots (4, 3). Alok made a mistake in writing down the coefficient of x to get roots (3, 2). The correct roots of the equation are?

Compound Interest

The effective annual rate of interest corresponding to a nominal rate of 22% per annum payable half-yearly is?

Volume and Surface Area

If the volume of a cylinder is 2156 cubic cm and height is 14 cm, find its radius?

Algebra

What is the equation of the line which passes through the points (2, 3) and (- 4, 1)?

Triangles

In △ABC, the angle bisector of ∠A cuts BC at E. Find length of AC, if lengths of AB, BE and EC are 9 cm, 3.6 cm and 2.4 cm?

In a triangle, the length of the opposite side of the angle which measures 45° is 8√2 cm, what is the length of the side opposite to the angle which measures 90°?

General Knowledge of India

The boundary line between India and Pakistan is called?

Which city is located on the banks of the river Mahanadi?

Indian History

When was the battle of Haldighati fought?

In 1498, which Portuguese explorer discovered a new sea route from Europe to India?

General Knowledge of India

Chapchar Kut is a festival of which State?

Chemistry

In chemistry, soap is a salt of a ?

Indian Economy

Which of the following is a Direct tax?

Biology

Sauria lacertidae is the scientific name of?

Which of the following is a primary function of haemoglobin?

Average

A factory buys 8 machines.3 Machine A, 2 Machine B and rest Machine C. Prices of the machines are 100000, 80000 and 45000 respectively.Calculate the average cost of these machines?

Discount

Ticket for an adult is 500 and a child is 200. 1 child goes free with two adults. If a group has 20 adults and 8 children what will be the discount the group get?