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:- My mother’s sister’s son’s father’s mother-in-law is related to me as
Recent Answer : Added by Nisha On 2021-03-24 18:26:14:
maternal grand mother
Ques:- Your profile is suited for this job?
Ques:- The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is?
Recent Answer : Added by Pranali Landkar On 2021-12-17 16:08:24:
23. 15s squre is 225and 8 squre is 64 addition is 289 product also 120 addition 15+8=23
Ques:- What are the values and beliefs guided your life so far and how do you see them influencing your future?
Recent Answer : Added by DK BOSS On 2021-07-17 10:05:47:
The most important belief is belief in yourself. Believing in who you are and your abilities frees you to pursue goals and dreams without reservation and drives you forward with confidence, independence, autonomy and direction. Combine this conviction in yourself with a solid framework of inherent beliefs from the list above, and you have an unbeatable combination.
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Ques:- Why you leave the last company?
Ques:- Do your skills match this job or another job more closely?
Ques:- A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most -.
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Ques:- the total expense of boarding house are partly fixed and partly variable.the charge is rs 70 per head when there are 25 boarders and rs 60 when there are 50 boarders.find charge per head when there are 100 boarders
Recent Answer : Added by Admin On 2020-05-17 12:05:18:
55
Ques:- Why did u choose testing why not developing.
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Ques:- How many times do the hands of a clock coincide in a day?
Recent Answer : Added by kolapo On 2022-11-22 16:57:31:
11 times in 12hours
Ques:- If the numbers from 1 to 24, which are divisible by 2 are arranged in descending order, which number will be at the 8th place from the bottom?
A. 18
B. 16
C. 12
D. 10
Recent Answer : Added by Ferro On 2022-11-18 16:02:49:
1 through 24, divisible by 2 in descending order.
That leaves you with:
24, 22, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2
8th place FROM the bottom means your answer will be 16.
Ques:- If the 3 digit number AB9 is a perfect square is A an odd digit?
Ques:- The houses are numbered 1,2,3,? and reach the end of the street and backtracks toward s the starting point. The house numbered 10 is opposite to 23. there are even no of houses. Find the total no of houses.
Recent Answer : Added by Pritam Das On 2022-03-09 16:33:24:
32
Ques:- The ratio of white balls and black balls is 1:2. If 9 gray balls is added it becomes 2:4:3. Then what is number of black balls.
Recent Answer : Added by Admin On 2022-09-29 18:19:28:
these are question tht are seem to be like it consumes
time. so dont see jus the question and run to the next .
ans. a) 12
if 9 balls are added then the ratio to the combination
becomes 2:4:3.
9 balls make the ratio 3 for grey balls in tht mixture.
so the factor is 9/3 = 3 (in tht mixture)
so the same factor has to be maintained through out the
ratio. so black balls is 4 * 3 = 12 and white balls is 2 *
3 = 6.
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Ques:- What is the value of (p-1)3 when p=15/18+5/16-20/24?
Recent Answer : Added by Admin On 2020-05-17 12:03:16:
p=5/6+5/16-5/6
both 5/6’s get cancelled.
so, p=5/16
p=0.3125, therefore (p-1)3 value is (0.3125-1)3= -0.6875*3
=-2.0625.
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Ques:- What is the normal shrinkage percentage of Khadi afterfirst wash?
A. 10
B. 7
C. 8
D. 5
E. 9
Recent Answer : Added by Indranil Nitin Apte On 2021-08-08 09:30:36:
b
Ques:- Where are you working in current time?
Ques:- Thirty men take 20 days to complete a job working 9 hours a day. How many hour a day should 40 men work to complete the job?
A. 8 hrs
B. 7 1/2 hrs
C. 7 hrs
D. 9 hrs
Recent Answer : Added by 9074743593 On 2021-07-29 16:19:42:
7 1/2
Ques:- You are given weights of order 1kg 3kg 9kg 27kg 81kg and so on…(powers of 3)A weight of N kg is placed on any one of the empty pans of the balance.You are supposed to add weights to both pans of the balance and make them equal.You can use one weight only once..i.e., you can't use 2 number of 3kg weights.
Ques:- What is your background?
Recent Answer : Added by Alex Ntiamoah On 2022-08-14 16:39:49:
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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.