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:- Asked about me my qualification and typing speed
Ques:- Four car rental agencies P, Q, R and S rented a plot for parking their cars during the night. P parked 15 cars for 12 days, Q parked 12 cars for 20 days, R parked 18 cars for 18 days and S parked 16 cars for 15 days. If P paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
Ques:- 2435 ? 24 = 24?
A. 2.5
B. 3.5
C. 2
D. 3
E. None of these
Recent Answer : Added by NITISH KUMAR On 2021-08-11 07:22:47:
but how?
Ques:- Describe for me one or two of the biggest disappointments in your work history?
Ques:- How did you come to know about this opportunity?
Ques:- Two taps X and Y can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?
Ques:- X can give Y 100 meters start and Z 200 meters start in a kilometer race. How much start can Y give Z in a kilometer race?
Ques:- A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?
Recent Answer : Added by Nikhil Ambigar On 2022-01-08 16:05:06:
let x be sum.
SI of 18% for 1 year= x*18/100=0.18x;
SI of 18% for 2 years is 0.36x;
SI of 12% for 1 year= x*12/100=0.12x;
SI of 12% for 2 years is 0.24x;
Given, 0.36x-0.24x=840
0.12x=840
x=840/0.12=7000.
Ques:- If you subtract -1 from + 1, what will be the result?
A. -1
B. 1
C. 2
D. -2
Recent Answer : Added by Alok On 2022-08-14 16:29:01:
1 – (-1) = 1 +1 = 2
Ques:- Feasibility about travelling, Future studies plan, etc
Ques:- Why do you want to do an MBA?
Ques:- What’s your fondest childhood memory?
Recent Answer : Added by Anusha.B On 2021-12-14 17:33:19:
When I went to my native place the form is so good environment
Ques:- 64309 – 8703 + 798 – 437 = ?
Recent Answer : Added by Pattamuthu B On 2022-05-17 09:07:32:
55967
Ques:- Pairs of primes separated by a single number are called prime pairs. Examples are 17 and 19. Prove that the number between a prime pair is always divisible by 6.
Ques:- A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
Recent Answer : Added by Akash Deep On 2021-08-03 17:09:46:
600
Ques:- City A population is 68000, decreasing at a rate of 80 per year City B having population 42000 increasing at a rate of 120 per Year. In how many years both the cities will have same population
Recent Answer : Added by Admin On 2020-05-17 11:59:22:
130 years
Ques:- Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Recent Answer : Added by Shahbina On 2022-08-24 17:03:17:
1 tank will fill in 10 minutes.
Ques:- How would you show co-workers the importance of co-operation?
Ques:- Describe your work ethic.
Ques:- What you will do during the first day of job?
Ques:- Two years ago a man was 6 times as old as his son. After 18 years, he will be twice as old as his son. Their present ages ( in years) are
A. 31, 7
B. 32, 7
C. 34, 9
D. 36, 11
Recent Answer : Added by Hardik gupta On 2022-09-15 16:36:08:
32,7
Ques:- The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?
8/15 left.
1/15 * 4 + 1/20 * 4 = 7/15
1 – 7/15 = 8/15