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- Question
- 'P' men working 'P' hours per day can do 'P' units of a work in 'P' days. How much work can be completed by 'Q' men working 'Q' hours per day in 'Q' days?
Options- A. P2Q2 units
- B. Q3/P2 units
- C. P2Q
- D. Q2P2 units
- Correct Answer
- Q3/P2 units
ExplanationAs we know from the given question,
P men working P hours per day in P days can do P units of a work.
1 men working P hours per day in P days can do P / P units of a work.
1 men working 1 hours per day in P days can do P /P x P units of a work.
1 men working 1 hours per day in 1 days can do P /P x P x P units of a work.
Q men working 1 hours per day in 1 days can do P x Q /P x P x P units of a work.
Q men working Q hours per day in 1 days can do P x Q x Q /P x P x P units of a work.
Q men working Q hours per day in Q days can do P x Q x Q x Q/P x P x P units of a work.
Q men working Q hours per day in Q days can do Q3/P2 units of a work. - 1. A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, 25 % of the work is completed. How many additional persons should be deployed so that the work will be completed in the scheduled time, each person now working 9 hours a day.
Options- A. 60
- B. 58
- C. 12
- D. 56 Discuss
- 2. 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Options- A. 9
- B. 14
- C. 12
- D. 13 Discuss
- 3. 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day should 4 pumps work in order to empty the tank in 1 day?
Options- A. 10
- B. 12
- C. 8
- D. 15 Discuss
- 4. Cost of 1 chair is Rs. 214 and cost of one table is Rs. 937, then what is the approximate cost of 6 dozen chairs and 4 dozen tables?
Options- A. Rs. 60000
- B. Rs. 58000
- C. Rs. 55000
- D. Rs. 62000 Discuss
- 5.
approximate cost of 42 dozen of bananas?Cost of 1 dozen of bananas is Rs. 2·35, then what is the 4
Options- A. Rs. 430
- B. Rs. 540
- C. Rs. 380
- D. Rs. 400 Discuss
- 6. In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Options- A. 56
- B. 45
- C. 30
- D. 27 Discuss
- 7. 10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days?
Options- A. 4
- B. 3
- C. 6
- D. 8 Discuss
- 8. Nine examiners can examine a certain number of answer books in 12 days by working 5 hours a day. How many hours in a day should 4 examiners work to examine twice the number of answer books in 30 days?
Options- A. 9
- B. 11
- C. 13
- D. 17 Discuss
- 9. A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Options- A. 39
- B. 37
- C. 42
- D. 56 Discuss
- 10. Nine engines consume 24 metric tonnes of coal, when each is working 8 hours day. How much coal is required for 8 engines, each running 13 hours a day, if 3 engines of former type consume as much as 4 engines of latter type?
Options- A. 20 metric tonnes
- B. 39 metric tonnes
- C. 23 metric tonnes
- D. 26 metric tonnes Discuss
Unitary Method problems
Search Results
Correct Answer: 56
Explanation:
According to question ,
Correct Answer: 13
Explanation:
39 persons can repair a road by working 5 hours a day in 12 days.
1 persons can repair a road by working 5 hours a day in 12 x 39 days.
1 persons can repair a road by working 1 hours a day in 12 x 39 x 5 days.
30 persons can repair a road by working 1 hours a day in 12 x 39 x 5 / 30 days.
30 persons can repair a road by working 6 hours a day in 12 x 39 x 5 / 30 x 6 days.
30 persons can repair a road by working 6 hours a day in 2 x 39 x 5 / 30 days.
30 persons can repair a road by working 6 hours a day in 39 x 1 / 3 days.
30 persons can repair a road by working 6 hours a day in 13 days.
Correct Answer: 12
Explanation:
3 pumps, can empty a tank in 2 days by working 8 hours a day.
1 pumps, can empty a tank in 2 days by working 8 x 3 hours a day.
1 pumps, can empty a tank in 1 days by working 8 x 3 x 2hours a day.
4 pumps, can empty a tank in 1 days by working 8 x 3 x 2 / 4 hours a day.
4 pumps, can empty a tank in 1 days by working 2 x 3 x 2 hours a day.
4 pumps, can empty a tank in 1 days by working 12 hours a day.
Correct Answer: Rs. 60000
Explanation:
Here , Cost of 1 chair = Rs. 214 and cost of one table = Rs. 937 .
? Cost of 6 dozen chairs = 6 × 12 × 214 = Rs. 15408
and cost of 4 dozen tables = 4 × 12 × 937 = Rs. 44976
? Total cost = 15408 + 44976
Total cost = Rs. 15408 + 44976 = Rs. 60384
Total cost of chairs and tables ? Rs. 60000 (Approximately)
Correct Answer: Rs. 400
Explanation:
Correct Answer: 30
Explanation:
Correct Answer: 6
Explanation:
Correct Answer: 9
Explanation:
Correct Answer: 42
Explanation:
As per the given question ,
Food of 150 men for 45 days = 150 × 45 = 6750 unit
After 10 days , Food of 150 men for 150 × 10 = 1500 unit
And after 10 days remaining men = 150 - 25 = 125
and remaining food = 6750 - 1500 = 5250 unit
Let D be the number of days for which the remaining food .
So, 125 × D = 5250
? D = 5250 /125 = 42 days
Correct Answer: 26 metric tonnes
Explanation:
Let required amount of coal be y metric tonnes
9 engines consumes 24 metric tonnes of coal in 8 hours a day.
More engines, more amount of coal (direct proportion)
If 3 engines of first type consume 1 unit, then 1 engine will consume 1/3 unit which is its the rate of consumption.
If 4 engines of second type consume 1 unit, then 1 engine will consume 1/4 unit which is its the rate of consumption
More rate of consumption, more amount of coal (direct proportion)
More hours, more amount of coal(direct proportion)
Now we have , 9 × ( 1 / 3 ) × 8 × y = 8 × ( 1 / 4 ) × 13 × 24
? 3 × 8 × y = 8 × 6 × 13
? 3 × y = 6 × 13 ? y = 2 x 13 = 26 metric tonnes
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