Ques:- Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards. Last year, each of them discovered that every tree in their own orchard bore exactly the same number of apples. Further, if the third farmer gives one apple to the first, and the fifth gives three to each of the second and the fourth, they would all have exactly the same number of apples. What were the yields per tree in the orchards of the third and fourth farmers?
Recent Answer : Added by John Rony On 2021-06-23 17:56:01:
So we consider the 2nd statement first. We can form an equation out of it.
14x-6=13y+3=9z+3
Using this, we can understand that the multiple of 14 and the multiple of 13 and 9 must have a difference of 9. The easiest way to ensure that is multiplying it by 9
14*9=126
13*9=117
If the 5th farmer gives 3 apples to the 4th farmer, they would have 123 and 120 apples respectively. However, we also know that the 2nd farmer has 117 apples (13*9=117, and this is a multiple of 9) if the 5th farmer gives 3 apples too the 2nd farmer, the 3rd, 4th and 5th farmers would have 120 apples each.
Now that we got 120, we should check if the first part of the question makes sense along with it. The equation would be
7a+1=11b-1=120
We know that 11*11=121 and 7*17=119. When we add 1 to 119 and subtract 1 from 121, we get 120 for each. In this way, all the farmers have 120 apples each.
Therefore, the 3rd farmer had a yield of 11 per tree and the 4th farmer had a yield of 9 per tree.
Ques:- If I bought a cycle before 2days of my birthday and I broke it after 3 days of my birthday the day I broke is Mar2, 1956? Answer following logical questions? i) when is his birthday?
Recent Answer : Added by Olasunmomi Mathew On 2022-08-24 17:02:47:
28th February,1956
Ques:- A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Ques:- What is the capital of india
Ques:- I normally like to ______________ on Sundays (please enter your
Ques:- The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Ques:- Describe your ideal company, location and job.
Ques:- How ur qualification match with this job profile??
Ques:- A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
Recent Answer : Added by Admin On 2022-09-29 19:24:04:
According to the question:
⇒(x+5)(y−10)=300
⇒xy+5y−10x−50=xy
⇒5×300−10x−50=0
⇒−150+x2+5x=0
⇒x2+15x−10x−150=0
⇒x(x+15)−10(x+15)=0
⇒x=10 or −15
Price cannot be negative
So, As x>0,x=10.
Ques:- A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Ques:- A school has 30% students from Maharashtra .Out of these 20% are Bombey students. Find the total percentage of Bombay?
Recent Answer : Added by Alimam Ali On 2022-04-02 06:59:13:
66.66%
Ques:- Sanjeev ranks seventh from the top and twenty eight from the bottom in a class. How many students are there in the class?
Recent Answer : Added by surendrakumar On 2022-08-14 16:42:36:
the answer is 34
Ques:- What is the planning of your future?
Ques:- How many possible combinations are there in a 3x3x3 rubics cube? In other words, if you wanted to solve the rubics cube by trying different combinations, how many might it take you (worst case senerio)? How many for a 4x4x4 cube?
Ques:- if the length of the rectangle is reduced by 20% and breath is increased by 20 % what is the net change ?
Recent Answer : Added by Admin On 2020-05-17 12:03:10:
trick
(r/10)*(r/10)
(20/10)*(20/10)
4% decrese
Ques:- Family Back Ground,Educational Background
Ques:- Do you have the stomach to fire people? Have you had experience firing many people?
Ques:- Where you think you will be stand after 4 years?
Ques:- How do you survive chaos?
Ques:- What was the day of the week on 28th February, 1995?
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
Recent Answer : Added by Abhay Chothani On 2022-05-17 08:55:25:
1600 years contain 0 odd day.
300 years contain 1 odd day.
94 years = (23 leap years + 71 ordinary years)
= (46 + 71) odd days
= 117 odd days, i.e., 5 odd days
Days from 1st January 1995 to 28th February 1995
= (31 + 28) days = 59 days
= (8 weeks + 3 days) = 3 odd days
∴ Total number of odd days
= (0 + 1 + 5 + 3) = 9 odd days i.e., 2 odd days.
So, the required day is Tuesday.
Ques:- Find out the total numbers between 1 to 999 that are neither divisible by 8 nor by 12?
Recent Answer : Added by Admin On 2020-05-17 12:02:07:
divisible by 8 – 124
” 12 – 83
” both – 41
124 + 83 – 41 = 166
999 – 166 = 833
ans is 833…..
Ques:- Asked about my self.
Ques:- 100 kgs of potato contains 99% water.Its kept in the sun.The water evaporates and now amount of water is 98 %.Whats the weight of the potatoes?
Recent Answer : Added by Admin On 2022-09-28 17:44:19:
Initially, potatoes have 99% water by weight ; which means they have 1% solid non-water content.
1% of 100 kg = 1 kg
Now even when they dehydrate,this 1kg solid mass remains constant.
It is given that finally, 98% is water by weight , which implies that 2% is non-water solid.
This means 2% of total weight = 1 kg
Total weight *2/100 = 1 kg
Therefore, total weight finally = 50 kg.
Ques:- Do you feel you work more effectively on a one to one basis or in a group situation?
Recent Answer : Added by RITESH KATARWAR On 2021-11-18 17:15:58:
group wise work is use full and effectively
Ques:- Do you have any principale towards job?
Ques:- A Roman was born the first day of the 35th year before Christ and died the first day of the 35th year after Christ. How many years did he live?
Recent Answer : Added by Aditya Arunrao Khaparkar On 2021-09-23 15:56:05:
A Roman was born the first day of the 35th year before Christ means before the start of year 0, 35 years has been past and died the first day of the 35th year after Christ means 35th year is about to start at his death so only 34 years has been completed so total years = 69
Ques:- Describe how you demonstrate your passion for technology outside the classroom ?
Ques:- Tell me a memmorable event in ur life.
Ques:- How will you measure height of building when you are at the top of the building? And if you have stone with you.
So we consider the 2nd statement first. We can form an equation out of it.
14x-6=13y+3=9z+3
Using this, we can understand that the multiple of 14 and the multiple of 13 and 9 must have a difference of 9. The easiest way to ensure that is multiplying it by 9
14*9=126
13*9=117
If the 5th farmer gives 3 apples to the 4th farmer, they would have 123 and 120 apples respectively. However, we also know that the 2nd farmer has 117 apples (13*9=117, and this is a multiple of 9) if the 5th farmer gives 3 apples too the 2nd farmer, the 3rd, 4th and 5th farmers would have 120 apples each.
Now that we got 120, we should check if the first part of the question makes sense along with it. The equation would be
7a+1=11b-1=120
We know that 11*11=121 and 7*17=119. When we add 1 to 119 and subtract 1 from 121, we get 120 for each. In this way, all the farmers have 120 apples each.
Therefore, the 3rd farmer had a yield of 11 per tree and the 4th farmer had a yield of 9 per tree.