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All questions of Unitary Method for SSC CGL Exam
21 goats eat as much as 15 cows. How many goats eat as much as 35 cows?- a)38
- b)49
- c)37
- d)41
Correct answer is option 'B'. Can you explain this answer?
21 goats eat as much as 15 cows. How many goats eat as much as 35 cows?
a)
38
b)
49
c)
37
d)
41
 | Abhiram Mehra answered |
Understanding the Problem
To determine how many goats are equivalent to 35 cows in terms of food consumption, we need to analyze the initial relationship between goats and cows.
Initial Ratio
From the problem, we know that:
- 21 goats eat as much as 15 cows.
Finding the Equivalent of 1 Cow
To find the consumption of one cow in terms of goats:
- Consumption of 1 cow = 21 goats / 15 cows = 1.4 goats.
This means that one cow's food requirement is equivalent to the consumption of 1.4 goats.
Finding the Equivalent of 35 Cows
Now, we need to find out how many goats would consume the same amount of food as 35 cows:
- Consumption of 35 cows = 35 cows * 1.4 goats/cow = 49 goats.
Final Calculation
Thus, the number of goats that eat as much as 35 cows is:
- 49 goats.
Conclusion
The correct answer is option 'B', which is 49 goats. This calculation is based on the established ratio of food consumption between goats and cows.
To determine how many goats are equivalent to 35 cows in terms of food consumption, we need to analyze the initial relationship between goats and cows.
Initial Ratio
From the problem, we know that:
- 21 goats eat as much as 15 cows.
Finding the Equivalent of 1 Cow
To find the consumption of one cow in terms of goats:
- Consumption of 1 cow = 21 goats / 15 cows = 1.4 goats.
This means that one cow's food requirement is equivalent to the consumption of 1.4 goats.
Finding the Equivalent of 35 Cows
Now, we need to find out how many goats would consume the same amount of food as 35 cows:
- Consumption of 35 cows = 35 cows * 1.4 goats/cow = 49 goats.
Final Calculation
Thus, the number of goats that eat as much as 35 cows is:
- 49 goats.
Conclusion
The correct answer is option 'B', which is 49 goats. This calculation is based on the established ratio of food consumption between goats and cows.
An industrial loom weaves 0.128 meters of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 meter of cloth?- a)184
- b)195
- c)190
- d)197
Correct answer is option 'B'. Can you explain this answer?
An industrial loom weaves 0.128 meters of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 meter of cloth?
a)
184
b)
195
c)
190
d)
197
 | Bayshore Academy answered |
According to given question,
Since an industrial loom weaves 0.128 meters of cloth in 1 seconds.
∴ an industrial loom weaves 1 meters of cloth in 1 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 1 x 25 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 25 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 195 seconds.
Since an industrial loom weaves 0.128 meters of cloth in 1 seconds.
∴ an industrial loom weaves 1 meters of cloth in 1 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 1 x 25 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 25 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 195 seconds.
If 18 binders bind 900 books in 10 days, How many binders will be required to bind 660 books in 12 days?- a)21
- b)14
- c)18
- d)11
Correct answer is option 'D'. Can you explain this answer?
If 18 binders bind 900 books in 10 days, How many binders will be required to bind 660 books in 12 days?
a)
21
b)
14
c)
18
d)
11
 | Pranab Goyal answered |
Calculation of Binders Required
- First, calculate the rate at which one binder works by dividing the number of books bound by the number of binders and days it took.
- Rate of one binder = 900 books / (18 binders * 10 days) = 5 books/day/binder
- Then, calculate the number of binders required to bind 660 books in 12 days using the rate obtained above.
- Binders required = 660 books / (5 books/day/binder * 12 days) = 11 binders
Therefore, 11 binders will be required to bind 660 books in 12 days.
- First, calculate the rate at which one binder works by dividing the number of books bound by the number of binders and days it took.
- Rate of one binder = 900 books / (18 binders * 10 days) = 5 books/day/binder
- Then, calculate the number of binders required to bind 660 books in 12 days using the rate obtained above.
- Binders required = 660 books / (5 books/day/binder * 12 days) = 11 binders
Therefore, 11 binders will be required to bind 660 books in 12 days.
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?- a)10
- b)13
- c)18
- d)136
Correct answer is option 'B'. Can you explain this answer?
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?
a)
10
b)
13
c)
18
d)
136
| | Pranab Goyal answered |
Understanding the Work Done
To find out how many days 30 persons, working 6 hours a day, will take to complete the same work, we first need to determine the total work done in terms of person-hours.
Total Work Calculation
- The total work done by 39 persons in 12 days, working 5 hours a day:
- Total Person-Hours = 39 persons × 12 days × 5 hours/day
- Total Person-Hours = 39 × 12 × 5 = 2340 person-hours
Work Done by 30 Persons
- Now, let's find out how many person-hours 30 persons can contribute in one day while working 6 hours:
- Daily Work = 30 persons × 6 hours/day = 180 person-hours/day
Finding the Number of Days
- To find out how many days (D) it will take for 30 persons to complete 2340 person-hours of work:
- Total Work = Daily Work × Number of Days
- 2340 person-hours = 180 person-hours/day × D
- Rearranging the equation to solve for D:
- D = 2340 person-hours / 180 person-hours/day
- D = 13 days
Conclusion
Thus, 30 persons working 6 hours per day will complete the work in 13 days. Therefore, the correct answer is option B.
To find out how many days 30 persons, working 6 hours a day, will take to complete the same work, we first need to determine the total work done in terms of person-hours.
Total Work Calculation
- The total work done by 39 persons in 12 days, working 5 hours a day:
- Total Person-Hours = 39 persons × 12 days × 5 hours/day
- Total Person-Hours = 39 × 12 × 5 = 2340 person-hours
Work Done by 30 Persons
- Now, let's find out how many person-hours 30 persons can contribute in one day while working 6 hours:
- Daily Work = 30 persons × 6 hours/day = 180 person-hours/day
Finding the Number of Days
- To find out how many days (D) it will take for 30 persons to complete 2340 person-hours of work:
- Total Work = Daily Work × Number of Days
- 2340 person-hours = 180 person-hours/day × D
- Rearranging the equation to solve for D:
- D = 2340 person-hours / 180 person-hours/day
- D = 13 days
Conclusion
Thus, 30 persons working 6 hours per day will complete the work in 13 days. Therefore, the correct answer is option B.
A person works on a project and completes 5/8 of the job in 10 days. At this rate, how many more days will he it take to finish the job?- a)12
- b)16
- c)10
- d)9
Correct answer is option 'B'. Can you explain this answer?
A person works on a project and completes 5/8 of the job in 10 days. At this rate, how many more days will he it take to finish the job?
a)
12
b)
16
c)
10
d)
9
 | EduRev SSC CGL answered |
A person completes 5/8 part of the project in 10 days.
A person completes the project in 10/5/8 days.
A person completes the project in 10 x 8 /5 days.
A person completes the project in 2 x 8 days.
A person completes the project in 16 days.
A person completes the project in 10/5/8 days.
A person completes the project in 10 x 8 /5 days.
A person completes the project in 2 x 8 days.
A person completes the project in 16 days.
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