sorry it is 265.6 only.
@gupanki2 said:The value of a diamond varies direclty with the square of its weight. A diamond broke into 3 pieces whose weights are in ratio 32:24:9. The loss caused due to the breakage was Rs 25.44 lakh. Find inital value of diamond ( in lakhs)?
Rs. 42.25 lakh ?
32^2 = 1024
24^2 = 576
9^2 = 81
Total value = 1681x
(32 + 24 + 9) = 65
Initial value = 4225x
Loss = 4225x - 1681x = 2544x
2544x = 25.44
4225x = 42.25
So Rs. 42.25 lakh
32^2 = 1024
24^2 = 576
9^2 = 81
Total value = 1681x
(32 + 24 + 9) = 65
Initial value = 4225x
Loss = 4225x - 1681x = 2544x
2544x = 25.44
4225x = 42.25
So Rs. 42.25 lakh
@gupanki2 said:The value of a diamond varies direclty with the square of its weight. A diamond broke into 3 pieces whose weights are in ratio 32:24:9. The loss caused due to the breakage was Rs 25.44 lakh. Find inital value of diamond ( in lakhs)?
65^2 = 4225k = old value
32^2 + 24^2 + 9^2 = 1681k = new value
4225k - 1681k = 2544
=> k = 1
so , old value = 42.25 lacs
@gupanki2 said:The value of a diamond varies direclty with the square of its weight. A diamond broke into 3 pieces whose weights are in ratio 32:24:9. The loss caused due to the breakage was Rs 25.44 lakh. Find inital value of diamond ( in lakhs)?
V = k65^2 = 4225k
32^2+24^2+9^2 = 1681k
2544k = 25.44
So Initial value = 42.25 lacs
Ramesh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are in integer lakhs. The mean and the median salary figures are Rs. 5 lakhs, and the only mode is Rs. 8 lakhs. Which of the options below is the sum (in Rs. lakhs) of the highest and the lowest salaries?
9
10
11
12
None of the above
9
10
11
12
None of the above
@nramachandran said:Ramesh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are in integer lakhs. The mean and the median salary figures are Rs. 5 lakhs, and the only mode is Rs. 8 lakhs. Which of the options below is the sum (in Rs. lakhs) of the highest and the lowest salaries?9101112None of the above
9?
@nramachandran said:Ramesh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are in integer lakhs. The mean and the median salary figures are Rs. 5 lakhs, and the only mode is Rs. 8 lakhs. Which of the options below is the sum (in Rs. lakhs) of the highest and the lowest salaries?9101112None of the above
9?
1 3 5 8 8.. a possible combination of the salaries of the 5 vice-presidents
@nramachandran said:Ramesh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are in integer lakhs. The mean and the median salary figures are Rs. 5 lakhs, and the only mode is Rs. 8 lakhs. Which of the options below is the sum (in Rs. lakhs) of the highest and the lowest salaries?9101112None of the above
8+1=9
How many integer values of x satisfy |x β 2| + |x + 3| + |5 β x| + |x β 8|
@nramachandran said:Ramesh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are in integer lakhs. The mean and the median salary figures are Rs. 5 lakhs, and the only mode is Rs. 8 lakhs. Which of the options below is the sum (in Rs. lakhs) of the highest and the lowest salaries?9101112None of the above
9?
x,y,5,8,8
since mean = 5
x + y = 25 - 5 - 8 - 8 = 4
(x,y) = (1,3) or (2,2)
But it cannot be 2 since the mode is 8.
So x = 1, y = 3.
Required sum = 1 + 8 = 9
x,y,5,8,8
since mean = 5
x + y = 25 - 5 - 8 - 8 = 4
(x,y) = (1,3) or (2,2)
But it cannot be 2 since the mode is 8.
So x = 1, y = 3.
Required sum = 1 + 8 = 9
Ram prepares solutions of alcohol in water according to customers β¬β’ needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?
A. 5
B. 9
C. 10
D. 12
E. 15
@nramachandran said:Ram prepares solutions of alcohol in water according to customers β¬β’ needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?A.5B.9C.10D.12E.15
9?
@nramachandran
@nramachandran said:Ram prepares solutions of alcohol in water according to customersμ°½β¬β’ needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery
9
??
@amresh_maverick said:How many integer values of x satisfy|x β 2| + |x + 3| + |5 β x| + |x β 8|
The function is linear
Value at x = 8 => 6 + 11 + 3 + 0 = 20
Value at x = 5 => 3 + 8 + 0 + 3 = 14
Value at x = 2 => 0 + 5 + 3 + 6 = 14
Value at x = -3 => 5 + 0 + 8 + 11 = 24
So, the minimum value is 14.
The value of the function will become 16 at two places, one between 5,8 and other between -3,2
Since, we need only integers, we will check the integer points in between
Value at x = 6 => 4 + 9 + 1 + 2 = 16
Value at x = 1 => 1 + 4 + 4 + 7 = 16
So, integer values of x that satisfy this are 2,3,4,5 ?
@nramachandran said:Ram prepares solutions of alcohol in water according to customers β¬β’ needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?
Final concentration=21%
So just make the equation for alcohol amount,
0.21*27=0.39*x+(27-x)*0.12
so x=9
So just make the equation for alcohol amount,
0.21*27=0.39*x+(27-x)*0.12
so x=9
@amresh_maverick said:How many integer values of x satisfy|x β 2| + |x + 3| + |5 β x| + |x β 8|
4 (2,3,4,5)
Hey Puys, 'Prep' section (Option present on the top) would be more helpful for posting Quant questions there instead of posting and discussing them here. Over here it's very difficult to find a particular question and it's related answer. So I would suggest you to keep posting more and more questions under 'Prep' section.
'Prep' section has awesome features like:
1> You can view the answer as soon as you click on submit.
2> You can't see the answer unless you've submitted.
3> Solution for that particular question can be discussed below that question.
Do give it a try.
@nramachandran said:Ram prepares solutions of alcohol in water according to customers β¬β’ needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?A.5B.9C.10D.12E.15
B. 9
(39x/100 + 12(27 - x)/100) = 21*27/100
39x + 324 - 12x = 567
27x = 27(21 - 12)
x = 9
(39x/100 + 12(27 - x)/100) = 21*27/100
39x + 324 - 12x = 567
27x = 27(21 - 12)
x = 9
@nramachandran said:Ram prepares solutions of alcohol in water according to customers β¬β’ needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?A.5B.9C.10D.12E.15
can be done by allegations...
12............39
..... 21........
18...........9
it means 9 liters of 12% solution is replaced
@nramachandran said:Ramesh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are in integer lakhs. The mean and the median salary figures are Rs. 5 lakhs, and the only mode is Rs. 8 lakhs. Which of the options below is the sum (in Rs. lakhs) of the highest and the lowest salaries?9101112None of the above
let the salaries be a,b,c,d,e
c= 5 given
d=e=8 (mode it is given)
now (a+b+c+d+e)/5 = 5
from here a+b= 4
(a,b)= (1,2) or (2,2) -> not possible mode condition violated
so high+ lowest=9