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:- How much experience do you have in BPO?
Ques:- A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Recent Answer : Added by V Revanth Royal On 2021-08-16 15:51:31:
2hr 30min
Ques:- Why are you working in sales
Ques:- The Present Secretary-General of the United Nations is?
Ques:- A coffee shop blends 2 kinds of coffee,putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm.If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade,how much will the shop save in blending 100 gms.
Recent Answer : Added by Ashu On 2021-01-30 01:20:12:
Initially (2*33 + 1*24)/(2+1) = 30p a gm
So, cost for 100g = 100*30 = 3000p
Later, (1*33 + 2*24)/(1+2) = 71/3 p a gm.
So, cost for 100g = 100*(71/3) = 2366.67p
He saves 3000 – 2366.67 = 633.33p
Concept of weighted average.
Ques:- In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. What is the speed of the boat in still water (in km/hr)?
Ques:- Would you tell us what attracts you to a career with us? How do you see your studies, skills, experience and personal qualities contributing to the work of the organisation?
Ques:- Why would you choose to work here and not somewhere else?
Ques:- Two people are travelling through flight. Both have parachute and jump anywhere randomly i.e none of them knows who has jumped where.(Assume there's a big desert and they jump at any random location). Now, both of them have a single piece of paper on which they can write instructions before jumping and that's the only way they can meet each other. What would they write on paper before jumping ?
Ques:- What motivates a person?
Recent Answer : Added by Pratiksha Landge On 2021-12-04 15:01:50:
That person’s struggle and dream to achieve something motivates the person.
Ques:- (999)2 – (998)2 = ?
A. 1992
B. 1995
C. 1996
D. 1997
Recent Answer : Added by Mousumi On 2022-10-09 06:56:19:
(999)2-(998)2
=998001-996004
=1997
Ques:- A work is done by two people in 24 minutes. One of them alone can do it in 40 minutes. How much time will the other person wiil take to complete it
Recent Answer : Added by Admin On 2020-05-17 12:00:32:
1/24-1/40
(5-3)/120
2/120
1/60
60 minutes
Ques:- What would you do if your team ceased to perform?
Ques:- What have you done to improve your knowledge in the last year?
Ques:- Why is a manhole cover round?
Ques:- The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correct time. How much a day does the clock gain or lose?
Ques:- Tell me about ur self.
Ques:- Can you work well under deadline or pressure?
Ques:- Why you are looking to change your job?
Ques:- What is the power of 2?optionsa.2068b.2048c.2668please explain the concept behind this.It can be asked interms of power 3,4 etc.
Ques:- What kind of books & other publications do you read?
Ques:- A, B and C contract a work for Rs. 550. Together A and B aresupposed to do 7/11th of the work. How much does C get?
Recent Answer : Added by Admin On 2020-05-17 12:03:59:
let the total work to be done =1
so a+b+c=1 (say)
then a and b are supposed to do 7/11 th of work
so c= 1- (7/11)
c=4/11
therefore c gets (4/11)*550
=200 is the answer
Ques:- Two trains are on same track and they are coming toward each other. The speed of first train is 50 KMs/h and the speed of second train is 70 KMs/h. A bee starts flying between the trains when the distance between two trains is 100 KMs. The bee first flies from first train to second train. Once it reaches the second train, it flies back to the second train ? and so on until trains collide. Calculate the total distance traveled by the bee. Speed of bee is 40 KMs/h. .
Recent Answer : Added by DK BOSS On 2021-07-15 09:17:12:
Answer: 66.67 km approx.
Solution:
Let the first train A move at u km/h.
Let the second train B move at v km/h.
Let the distance between two trains be d km
Let the speed of bee be b km/h
Therefore, the time taken by trains to collide = d/(u+v)
Now putting all the known values into the above equation, we get,
u = 50 km/hr
v = 70 km/hr
d = 100 km
b = 80 km/hr
Therfore, the total distance travelled by bee
= b*d/(u+v)
= 80 * 100/(50+70)
= 66.67 km (approx)
Ques:- Why should be you hired by the company?
Ques:- Asking a Post Graduate in CS student whats your typing speed.
Ques:- Why are you not joining your father business?
Ques:- Raj has a jewel chest containing Rings, Pins and Ear-rings. The chest contains 26 pieces. Raj has 2 and 1/2 times as many rings as pins, and the number of pairs of earrings is 4 less than the number of rings. How many earrings does Raj have?…
Recent Answer : Added by King11 On 2022-03-18 09:20:21:
6 pairs of earrings. So 12 earrings.
The total has to be 26, so let’s say there’s 6 pairs of earrings and the number of pairs has to be 4 less than the number of rings. So that would make 10 rings. The 10 rings has to be 2 1/2 greater than the number of pins. So you would divide 10/2.5 = 4 Pins. That would equate to a total of 12 earrings, 10 rings, and 4 pins. A total of 26 pieces.
Ques:- A man driving the car at twice the speed of auto one day he was driven car for 10 min. and car is failed. he left the car and took auto to go to the office .he spent 30 min. in the auto. what will be the time take by car to go office?
Recent Answer : Added by Anuj On 2021-11-09 15:53:18:
25
Ques:- How many ways do you think there are to find a needle in a haystack?
Recent Answer : Added by DK BOSS On 2021-07-21 15:26:28:
The phrase is usually ‘like looking for a needle in a haystack’. It describes a task that is virtually impossible because you would have to search a huge area
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.