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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.
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Ques:- A frog in a well 30 ft deep jumps 3 ft slips 2 ft each day.How many days does take on the whole?
Recent Answer : Added by Pat On 2023-04-26 17:34:54:
Day 1: 30-3ft = 27+2ft = 29
Day 8: 23 jumps 3ft = 20 slips 2ft = 22
Day 16: 13 jumps 3ft = 10 slips 2ft = 12
Day 24: 3 jumps 3ft = Out?
Ques:- a sum ‘s’ is devided into 4 parts.second person gets Rs 10 more than first.3rd person is Rs 10 more than second, 4th is 10 more than 3rd. how much amount do 1st person get?
Recent Answer : Added by Admin On 2020-05-17 11:59:57:
Ques:- In a row of ten boys, when Rohit was shifted by two places towards the left, he became seventh from the left end. What was his earlier position from the right end of the row ?
Recent Answer : Added by Atif On 2022-12-05 16:13:22:
2nd
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Ques:- In a certain code language DESERT is written RTSEDE. How will the word FAULTS the written in that code language?
A. TSULFA
B. AFLUST
C. LUAFST
D. UAFSTL
E. None of these
Recent Answer : Added by Princess Sakura On 2022-03-09 16:33:21:
It’s choice A because you take the last to letters and move them to the front then the previous two letters go after them and so on.
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Ques:- What is the number of zeros at the end of the product of the numbers from 1 to 100?
Recent Answer : Added by Admin On 2022-09-29 17:42:15:
1×2×…100=100!
Number of zeros in product of n numbers =[5n]+[52n]+[53n]+…
Number of zeros in product of 100 numbers =[5100]+[52100]+[53100]
where [.] is greatest integer function
=[20]+[4]+[0.8]=20+4=24
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Ques:- What is the time required to punch 1500 cards of 50 column each at the rate of 10,000 punches per hour?
Recent Answer : Added by Admin On 2020-05-17 11:59:24:
7 Hr 30 Min
Ques:- Aruna ranks twelfth in a class of forty-six, what will be her rank from the last?
Recent Answer : Added by Admin On 2022-09-28 19:28:52:
Number of students behind Aruna in rank = (46 – 12) = 34. So, Arun is 35th from the last
Ques:- What do you mean by bpo?
Recent Answer : Added by hr On 2021-10-22 09:12:50:
Business Process Outsourcing, or BPO, refers to the process of contracting standard business functions to be handled by a party outside of the company.
BPO is the abbreviation for business process outsourcing, which refers to when companies outsource business processes to a third-party (external) company.
Ques:- Venkat has 1boy&2daughters.The product of these children age is 72.The sum of their ages give the door numberof Venkat.Boy is elder of three.Can you tell the ages of all the three.
Recent Answer : Added by Kishore On 2022-10-07 17:19:02:
Because 2 daughter should have same age
Ques:- Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?
Ques:- A sequence is given. You should find out error & write correct answer. 1 2 5 10 13 26 29 48.
Recent Answer : Added by Admin On 2020-05-17 12:03:11:
Error is at 48. Correct once is 58
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
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Ques:- The number 89715983* is divisible by 4. The unknown non zero digit marked as * will be
A. 2
B. 3
C. 4
D. 6
Recent Answer : Added by Admin On 2022-09-23 18:52:00:
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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.