@ankita14 said:18k
appr pls
@Cat.Aspirant123 said:A, B and C enter into a partnership and invest their amounts in the ratio 7: 4 : 6 respectively. After 4 months, A increases his share by 50%. If the total profit at the end of a year is Rs. 87,000, then find B €™s share in the profit.20k18k17k16k
18k?
@Cat.Aspirant123 said:A, B and C enter into a partnership and invest their amounts in the ratio 7: 4 : 6 respectively. After 4 months, A increases his share by 50%. If the total profit at the end of a year is Rs. 87,000, then find B €™s share in the profit.20k18k17k16k
18 k
For convenience I assumed A, B, C as 14 : 8 : 12 for first 4 months
Then they become 21 : 8 : 12 for the remaining 2 periods of 4 + 4 months
hence
14 : 8 : 12 +
21 : 8 : 12 +
21 : 8 : 12
gives the final ratio as 56 : 24 : 36 or 14 : 6 : 9 so that B gets 6/(14 + 6 + 9) of 87000 and hence gets 18000.
Alternative (risky) approach:
Looking at examiner's choice of numbers - 87000 almost certainly means that 29 x 3 is going to feature....so chances are each part will be a multiple of 3000 hence 18K (do not try this stunt at home) ;)
regards
scrabbler
For convenience I assumed A, B, C as 14 : 8 : 12 for first 4 months
Then they become 21 : 8 : 12 for the remaining 2 periods of 4 + 4 months
hence
14 : 8 : 12 +
21 : 8 : 12 +
21 : 8 : 12
gives the final ratio as 56 : 24 : 36 or 14 : 6 : 9 so that B gets 6/(14 + 6 + 9) of 87000 and hence gets 18000.
Alternative (risky) approach:
Looking at examiner's choice of numbers - 87000 almost certainly means that 29 x 3 is going to feature....so chances are each part will be a multiple of 3000 hence 18K (do not try this stunt at home) ;)
regards
scrabbler
@Cat.Aspirant123 said:appr pls
Ratio of profits 7*12+3.5*8: 4*12 : 6*12 (amount multiplied by period)
112:48:72=14:6:9
6/29*87k= 18k
A right circular cone has height h and volume V. If two cuts, parallel to the base, are made at height of h/3 and 2h/3 respectively from the base by a plane, then what is the volume of the middle part?
7v/27
11v/27
3v/27
4v/27
7v/27
11v/27
3v/27
4v/27
@Cat.Aspirant123 said:A right circular cone has height h and volume V. If two cuts, parallel to the base, are made at height of h/3 and 2h/3 respectively from the base by a plane, then what is the volume of the middle part?7v/2711v/273v/274v/27
7v/27
If you cut at h/3 the resulting cone has a volume of 8/27V. (As the height and radius of smaller cone is 2/3 of larger cone). Now if you cut at 2h/3 the smallest cone has 1/8 the volume of the middle Cone 1/8*8/27V=1/27v . So middle part is 8/27v minus 1/27 v which is 7/27 v.
@Cat.Aspirant123 said:A right circular cone has height h and volume V. If two cuts, parallel to the base, are made at height of h/3 and 2h/3 respectively from the base by a plane, then what is the volume of the middle part?7v/2711v/273v/274v/27
7v/27!
@Cat.Aspirant123 said:A right circular cone has height h and volume V. If two cuts, parallel to the base, are made at height of h/3 and 2h/3 respectively from the base by a plane, then what is the volume of the middle part?7v/2711v/273v/274v/27
7V/27 ?
Let the volume of the upper part be V1, that of middle part be V2 and that of lower part be V3.
V = V1 + V2 + V3 = 1/3 * pi * r^2 * h
V1 = 1/3 * pi * (r/3)^2 * h/3 = V/27
V1 + V2 = 1/3 * pi * (2r/3)^2 * 2h/3 = 8V/27
So V2 = 7V/27
Let the volume of the upper part be V1, that of middle part be V2 and that of lower part be V3.
V = V1 + V2 + V3 = 1/3 * pi * r^2 * h
V1 = 1/3 * pi * (r/3)^2 * h/3 = V/27
V1 + V2 = 1/3 * pi * (2r/3)^2 * 2h/3 = 8V/27
So V2 = 7V/27
@shashankbapat23 said:For all real x, f(x) satisfies 2f(x) + f(1-x) = 2*x2 + 1. Then which among the following is true for all x?a) f(x) b) f(x) >= -1c) f(x) >= 1d) f(x)
option b?
@Cat.Aspirant123 said:A right circular cone has height h and volume V. If two cuts, parallel to the base, are made at height of h/3 and 2h/3 respectively from the base by a plane, then what is the volume of the middle part?7v/2711v/273v/274v/27
7v/27?
@Cat.Aspirant123 said:A, B and C enter into a partnership and invest their amounts in the ratio 7: 4 : 6 respectively. After 4 months, A increases his share by 50%. If the total profit at the end of a year is Rs. 87,000, then find B €™s share in the profit.20k18k17k16k
18000?
number of squares ?
@jain4444 said:number of squares ?
16.
9 of size 1x1, 5 of 2x2, 1 of 3x3, 1 of 4x4.
(Plus one more if you want to count the border of the figure....but I will leave that aside...:P)
regards
scrabbler
9 of size 1x1, 5 of 2x2, 1 of 3x3, 1 of 4x4.
(Plus one more if you want to count the border of the figure....but I will leave that aside...:P)
regards
scrabbler
Q: in how many ways one can paint all the sides of a regular hexagon with orange color?
all correct 
@viewpt pranam bhai
With the use of three different weights, namely, 1gm, 3gm , 9gm and 27gm . In how many ways different weights can be weighed, if the objects to be weighed and the given weights may be placed in either pan of the scale ? (both pans are not identical)