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:- 100 glasses are there. A servant has to supply glasses to a person If he supplies the glasses without any damage he will get 3 paise otherwise he will loose 3 paise. At the end of supplying 100 glasses if he gets 270 paise, how many glasses were supplied safely.
Recent Answer : Added by Admin On 2020-05-17 12:02:10:
Suppose that x glassses are supplied safely , therefore
(100-x) glases are damage. Then equation is :
3x – 3(100-x) = 270
on solving this equation value of x comes out to be 95.
Ques:- Do you initiate or add quality to your work? Have you done so in the past?
Ques:- If the digits of my present age are reversed then i get the age of my son.If 1 year ago my age was twice as that of my son.Find my present age.
Ques:- In each questions below are given two statements followed by two conclusions numbered I and II. Statements : All film stars are playback singers. All film directors are film stars. Conclusions :
I. All film directors are playback singers. II. Some film stars are film directors.
A. if only conclusion I follows
B. if only conclusion II follows
C. if either conclusion I or II follows
D. if neither conclusion I nor II follows
E. if both conclusions I and II follow
Recent Answer : Added by Anirban Saha On 2022-09-22 16:41:15:
Both conclusion follows
Ques:- You r given a thermometer. What can u do by this without measuring the temperature?
Recent Answer : Added by jag On 2022-01-08 16:05:38:
-1
Ques:- Under which writs the Courts sought to produce a person in the court suspected to be missing or in custody?
Recent Answer : Added by Mohammed Riyas On 2023-07-01 06:13:09:
habeas corpus
Ques:- “A contribution of Rs. 500 was raised from 500 people. The fee was as follows:Men: Rs.3.00 each Women: Rs. 2.00 each Childern: 0.48 each If number of women is more than number of men, how many childern are there?”
Ques:- Two circles , one circle is inscribed and another circle is outscribed over a square. What is the ratio of area of inner to outer circle.
Recent Answer : Added by Admin On 2020-05-17 11:59:25:
1 : 2
Ques:- Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other.How nuch faster is one train from other?
Recent Answer : Added by Admin On 2020-05-17 12:04:20:
Its 2 times faster than the other train
v1*t=v2
v2*t=4*v1
solving these two,we get
v2/v1=2
Ques:- One quality of wheat Rs.9.30 per kg is mixed with another quality of wheat Rs. 10.80 per kg then what will be the ratio in which they must be mixed so that the net cost is Rs. 10 per kg?
Recent Answer : Added by prasanta mandal On 2022-09-15 16:36:45:
8:7 ratio
Ques:- What all are your work experiences?
Ques:- Tell me about a time you were able to successfully dealwith another personeven when that individual may not have personally liked you(or vice versa).
Ques:- A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
Ques:- What’s your dream job?
Ques:- In june a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?
Ques:- P, Q, R, S and T are five speakers who have to speak on a particular day, not necessarily in the same order. R is neither the first nor the last speaker. There are three speakers after S and three speakers ahead of T. If P speaks after Q, then who is the last speaker to speak?
Recent Answer : Added by narendra On 2021-12-25 15:45:41:
T is the last speaker.
Ques:- X, Y and Z can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but Z left 4 days before the completion of the work. In how many days was the work completed?
Recent Answer : Added by serdar On 2021-09-25 16:19:53:
Ques:- How can u cut a big piece of cake into eight(8) pieces with only three cuts using a knife.
Recent Answer : Added by Admin On 2020-05-17 12:01:08:
Cake is never cut in such a way.
Wat we can do is.
1st cut should be cutting the Cake into two Halfs
Now put one half on top of other. Then again cutting it like
we made the 1st cut.
so now 4 parts. Two on top two on below.
Now Cut the cake in the orthogonal direction than the
earlier two cuts.
The trick was only That u can put one half on top of other.
Tats it.
Ques:- Describe yourself, what do you think about your own?
Ques:- If the largest three digit number is subtracted from the smallest five digit number, then the remainder is
A. 9000
B. 9001
C. 90001
D. 90007
Recent Answer : Added by Admin On 2022-09-23 18:58:46:
B. 9001
Ques:- Find the smallest four-digit number which is a multiple of 112?
Recent Answer : Added by Admin On 2022-09-29 19:09:33:
Calculation:
⇒ If 1000 divided by 112, the remainder is 104. ⇒ 112 – 104 = 8 ⇒ If 8 is added to 1000 it will become the smallest four-digit number and a multiple of 112. ⇒ 1000 + 8 = 1008 ∴ The required result will be 1008.
Ques:- Consider a NxN matrix in which the elements are either 0 or 1. Find how many such matrixes are possible that are symmetric in nature(the matrix and its transpose count as 1.
Ques:- For attaining 9% growth rate during 11th plan, investment level has been estimated to be?
Ques:- How was your last Sunday.
Ques:- A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.
Recent Answer : Added by Jordan On 2022-08-14 16:45:51:
I agree with @TUMWINE PETER
Ques:- What kind of Ideal job you are looking for?
Recent Answer : Added by DK BOSS On 2021-07-21 15:27:16:
i am looking for a cyber security expert job
Ques:- the ratio of white balls to black balls is 1:2. if 9 balls are added then the ratio of the balls become 2:4:3. find the number of black balls.
A. 12
B. 6
C. 9
D. none
Recent Answer : Added by Admin On 2020-05-17 12:04:25:
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.
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.