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:- Can you work well in a team? Please share some of your strategies for executing good team work?
Ques:- Imagine you are standing in front of a mirror, facing it. Raise your left hand. Raise your right hand. Look at your reflection. When you raise your left hand your reflection raises what appears to be his right hand. But when you tilt your head up, your reflection does too, and does not appear to tilt his/her head down. Why is it that the mirror appears to reverse left and right, but not up and down
Recent Answer : Added by DK BOSS On 2021-07-30 16:27:07:
The definition of left and right depends on the observer and
is reversed when facing the opposite direction. The
definition of up and down does not depend on the orientation
of the observer.
Ques:- If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Recent Answer : Added by Admin On 2022-09-29 16:36:42:
answer :
Let the distance which I walk to the station be x km Then Time needed to reach the station at 3 km/hr = (3x+602) hrs and
Time needed to reach the station at 4 km/hr = (4x+602) hrs But 3x+301=4x−301⇒3x−4x=−302=151
⇒124x−3x=151⇒12x=151⇒x=1512=54 km
Ques:- When the hr ask us tell me some thing about you then what should we include in what not plz help me by giving some examples.
Ques:- Please tell me what about your self?
Ques:- Some persons decide to raise Rs. 3 lakhs by equal contribution from each of them. If they contributed Rs. 50 extra each, the contribution increased to Rs. 3.25 lakhs. How many persons were there ?
A. 400
B. 500
C. 600
D. 700
E. None of these
Recent Answer : Added by BINDHU REDDY On 2021-08-09 01:51:48:
500
Ques:- Introduce yourself
Ques:- As jobs become more team-oriented, assessment centers willbe used more often for non-management jobs. Do you agree ordiagree?
Ques:- List out the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
Ques:- Describe how you demonstrate your passion for technology outside the classroom ?
Ques:- A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, Evaluate the distance of the place?
Ques:- Generally earlier work related.
Ques:- A school has 30% students from Maharashtra .Out of these 20% are Bombey students. Find the total percentage of Bombay?
Recent Answer : Added by Alimam Ali On 2022-04-02 06:59:13:
66.66%
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Ques:- The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Recent Answer : Added by ramathota madhu On 2022-03-09 16:36:28:
w, l=2w , area of square =8^2 = 64
area of rectangle = l*b
so w*2w = 8*64
w=16
length = 32
Ques:- The H.C.F and L.C.M of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is
A. 66
B. 132
C. 264
D. 528
Recent Answer : Added by Shiva Akhil On 2023-06-09 12:28:38:
let,first num be x and second num be y
hcf =264
lcm=44
given equation
x/2=44 i.e x=88
product of 2 numbers is equal to lcm*hcf
88*y=44*264
y=132
Ques:- What would u do, if u become a prime minister of urcountry for six months
Ques:- What do u want to do with your life?
Ques:- Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.961. Find the cost of each ice-cream cup?
Recent Answer : Added by Nicey On 2022-03-09 16:42:07:
16 chapatis* 6 Rs= 96
5 plates of rice * 45 Rs = 225
7 plates of mixed vegetable * 70 Rs = 490
6 ice-cream * ??
The amount that Alok paid the cashier was Rs.961
96+225+490 = 811
961-811= 150
150/6 = 25
The cost of each ice-cream cup is 25 .Rs
Ques:- A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Ques:- If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3
Recent Answer : Added by Ananya Jignyasha On 2021-07-14 14:29:35:
2^a = 2 x 2+a
a^3= 2 x a + 3
=> 4+a= 2a + 3
=> a = 1
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Recent Answer : Added by surendrakumar On 2022-08-14 16:42:36:
the answer is 34
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Ques:- A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
A. 4 litres, 8 litres
B. 5 litres, 7 litres
C. 6 litres, 6 litres
D. 7 litres, 5 litres
Recent Answer : Added by Abdul On 2022-05-17 08:56:53:
Ans- 6,6 litres
Let x Litres from can1 (where, water = x/4 litres and milk = 3x/4 litres)
Now
12-x liters from can 2 ( where, water = 6-x/2, milk = 6-x/2)
Now given
water/milk = 3/5
0.25x+6-0.5x / 0.75 +6-0.5x = 3/5
6-0.25x/6+0.25 = 3/5
Solve it you get
x = 6 litres from can1
Then 12-x= 12-6=6 litres from can2
Ques:- What were your expectations for the job and to what extent were they met?
Ques:- Find the odd man out:
2, 5, 10, 50, 500, 5000
A. (B) 5
B. (C) 10
C. (D) 5000
Recent Answer : Added by Roman On 2022-08-14 16:28:30:
5*2=10
10*5=50
50*10=500
500*50=25000
So odd one is 5000
Ques:- You have eight red socks and 11 blue socks in a drawer. They are identical but for the colour. You must select your socks in the dark. How many socks, at a minimum, must you take out of your sock drawer before you have a matching pair?
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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.