If 2p is the square of a natural number, then which of the following is false? (Given : p is a natural number greater than 1)
a> p^2 is divisible by 4
b>p is even
c> The positive square root of 2p is even
d> Both (a) and (c)
e> None of these
@iLoveTorres said:C invested 3000 B invested 3000*3/4=2250A invested 3000*.5=1500Total investment= 6750Profit is 25% i.e 6750*.25= 1687.5Now A expects a return of 10% on his investment i.e 150B expects a return of 15% on his investment i.e 2250*.15= 337.5 + 8% of the total profit i.e 1687.5*.08=135 hence B gets 472.5.Jus now read the last line of the question that the profit is divided in the ratio of their investment. So i guess my answer is wrong.Still to complete my answer the difference in profit% is 322.5/1687.5=19.11
Read again carefully 😃 It is written that expectation is met before the ratio of investments .. so A's share in profit would be 10 % . B's share would be 15%=337.5 and 8% of profit =135..so B's share total =472.5 which is 28% of total .. hence difference between A and B =18% :)
Team BV--Pratik Gauri
@bodhi_vriksha said:Read again carefully It is written that expectation is met before the ratio of investments .. so A's share in profit would be 10 % . B's share would be 15%=337.5 and 8% of profit =135..so B's share total =472.5 which is 28% of total .. hence difference between A and B =18% Team BV--Pratik Gauri
sir par uske baad if some profit is left out it would be divided between A and B in the ratio 2:3 na.. so effectively chances hai ki yeh 18% increase ho jaye :)
@amresh_maverick said:If 2p is the square of a natural number, then which of the following is false? (Given : p is a natural number greater than 1) a> p^2 is divisible by 4 b>p is even c> The positive square root of 2p is even d> Both (a) and (c) e> None of these
not ?
@iLoveTorres said:sir par uske baad if some profit is left out it would be divided between A and B in the ratio 2:3 na.. so effectively chances hai ki yeh 18% increase ho jaye
Arun Sharma ques have a tinge of ambiguity but what i comprehended from the statement was that expectation would be met first .. and nothing is given about c's profit ..so all the profit left would be consumed by him(i assumed ) .. hence the answer comes out to be 18 % :)
Team BV--Pratik Gauri
@amresh_maverick said:If 2p is the square of a natural number, then which of the following is false? (Given : p is a natural number greater than 1) a> p^2 is divisible by 4 b>p is even c> The positive square root of 2p is even d> Both (a) and (c) e> None of these
E ( NONE) .. :)
Team BV--Pratik Gauri
@bodhi_vriksha said:Arun Sharma ques have a tinge of ambiguity but what i comprehended from the statement was that expectation would be met first .. and nothing is given about c's profit ..so all the profit left would be consumed by him(i assumed ) .. hence the answer comes out to be 18 % Team BV--Pratik Gauri
agar ARUN SHARMA Sir CAT questions banaye toh kitna acha hoga 😛
But on a serious note, the options are close enough so is assuming the right way to solve this question? because if some part of the profit is left toh even 20% is possible. And since C's expectation is not give even Cannot be determined qualifies to be the answer. Right?
But on a serious note, the options are close enough so is assuming the right way to solve this question? because if some part of the profit is left toh even 20% is possible. And since C's expectation is not give even Cannot be determined qualifies to be the answer. Right?
@iLoveTorres said:agar ARUN SHARMA Sir CAT questions banaye toh kitna acha hoga But on a serious note, the options are close enough so is assuming the right way to solve this question? because if some part of the profit is left toh even 20% is possible. And since C's expectation is not give even Cannot be determined qualifies to be the answer. Right?
I would suggest you to leave this kind of a ques in CAT because there is a tinge of ambiguity. Nonethless, for practice , you can assume and answer here 😃 But i believe the question asks students to comprehend that expectation has to be met first . Taking that into account, 18% would be the best bet 😃 But the language is certainly obscure :(
Team BV--Pratik Gauri
@bodhi_vriksha said:Arun Sharma ques have a tinge of ambiguity
lots of them. I know i suffered a lot. 
.
.last ques of the day from my side..
A is having Rs. 255 all in Re. 1 denominations, in how many minimum number of bags can he distribute this amount so that he can give any denomination from Re. 1 to Rs. 255 without opening any bag?
@amresh_maverick said:A is having Rs. 255 all in Re. 1 denominations, in how many minimum number of bags can he distribute this amount so that he can give any denomination from Re. 1 to Rs. 255 without opening any bag?
1,2,4,8.....128 =8??
@albiesriram said:lots of them. I know i suffered a lot. .last ques of the day from my side..
SQUARE= 2 TRIANGLES + A PARALELOGRAM
now area of triangle =1/2*1*(1-1/n)
so area of both triangles=1-1/n
hence area of parllogram= 1-1+1/n= 1/n
now area of parallelogram= base *height : here height of parllogram = side of square
1/n= height* root(1+(1-1n)^2)--> height=1/root(2n^2-2n+1)=side of square
given that area of square=1/1985---> 2n^2-2n+1=1985 -->n=32 :)
Team BV--Pratik Gauri
@albiesriram said:lots of them. I know i suffered a lot. .last ques of the day from my side..
30 ke paas hona chahiye answer..
@albiesriram said:lots of them. I know i suffered a lot. .last ques of the day from my side..
Side length of smaller square = 1/n / {1/n *root (2n^2-2n+1)} =1/root (2n^2-2n+1)
=> 2n^2-2n+1 = 1985 => 2n^2-2n-1984 = 0 => n=32
Team BV - Vineet
@amresh_maverick said:If 2p is the square of a natural number, then which of the following is false? (Given : p is a natural number greater than 1) a> p^2 is divisible by 4 b>p is even c> The positive square root of 2p is even d> Both (a) and (c) e> None of these
none?
@amresh_maverick said:A is having Rs. 255 all in Re. 1 denominations, in how many minimum number of bags can he distribute this amount so that he can give any denomination from Re. 1 to Rs. 255 without opening any bag?
1+2+4+8+16+32+64+128=255
hence , 8 bags :)
Team BV--Pratik Gauri
@amresh_maverick said:A is having Rs. 255 all in Re. 1 denominations, in how many minimum number of bags can he distribute this amount so that he can give any denomination from Re. 1 to Rs. 255 without opening any bag?
OA : 8 bags
@amresh_maverick said:If 2p is the square of a natural number, then which of the following is false? (Given : p is a natural number greater than 1) a> p^2 is divisible by 4 b>p is even c> The positive square root of 2p is even d> Both (a) and (c) e> None of these
OA: None of these
@bodhi_vriksha said:SQUARE= 2 TRIANGLES + A PARALELOGRAMnow area of triangle =1/2*1*(1-1/n)so area of both triangles=1-1/nhence area of parllogram= 1-1+1/n= 1/nnow area of parallelogram= base *height : here height of parllogram = side of square1/n= height* root(1+(1-1n)^2)--> height=1/root(2n^2-2n+1)=side of squaregiven that area of square=1/1985---> 2n^2-2n+1=1985 -->n=32 Team BV--Pratik Gauri
Sir please explain this part
62@iLoveTorres said:Sir please explain this part
see base of parallelogram is obtained through pythagoras by :
base^2= 1^2 + (1-1/n)^2
base =root(1+(1-1/n)^2) and ive used this to calc height of parrlgram as we know base and area of parallelogram and area=base *height ...hope you got it now :)
Team BV--Pratik Gauri