Manish €™s happiness is given by a function a2b, where a is his daily consumption of ice creams and b is his daily consumption of chocolates. Each ice cream costs Rs. 20 and each chocolate costs Rs. 10. If he has Rs.1,000, how much should he spend on ice creams to maximise his happiness?
@kiru03haran said:@jain4444pls suggest me some ebooks for CAT preperation....
"Quant thread" of pagalguy.com 
seriously just follow this thread you won't need to have any ebook
@pavimai 5R - 1 way
4R & 1B -5 ways
4R & 1G - 5 ways
3R & 2G - 10 ways
3R & 2B - 10 ways
3R & 1G & 1B - 20 ways
2R & 2G & 1B - 30 ways
2R & 1G & 2B - 30 ways 1R & 2G & 2B - 30 ways
4R & 1B -5 ways
4R & 1G - 5 ways
3R & 2G - 10 ways
3R & 2B - 10 ways
3R & 1G & 1B - 20 ways
2R & 2G & 1B - 30 ways
2R & 1G & 2B - 30 ways 1R & 2G & 2B - 30 ways
Total 141
@pavimai said:There are 5 red, 2 green and 2 blue flags. Make a signal of 5 flags using them noting that repeating a colour is allowed.What will be the total number of possible flags if different arrangements are different signals?OPTIONS1) 141 2) 121 3) 127 4) 240 pls explain me..i dont understand dis solution
Arrangements - Total Number
----------------- ----------------
4R1G 5
4R1B 5
3R2B 10(10!/3!2!)
3R2G 10
3R1B1G 20
2R2G1B 30
2R1G2B 30
1R2G2B 30
5R 1
OA = 141
@amresh_maverick said:Find the sum of all the real values of €˜x €™ that satisfy the equation:243^log81(x) -2x = 2^log16(x)+2 -8PS: log x and the no is base , very difficult to type log
are these things in power?
@techgeek2050 said:If 4 dice are rolled once, the number of ways of getting the sum atleast 10 is...a - 870b - 950c - 1050d - 1170
@jain4444 plz solve dis 1.
@iLoveTorres said:are these things in power?
for 243^log81(x) and -2x is separate
for 2^log16(x)+2 and -8 is separate
for 2^log16(x)+2 and -8 is separate
@amresh_maverick said:Manish €™s happiness is given by a function a2b, where a is his daily consumption of ice creams and b is his daily consumption of chocolates. Each ice cream costs Rs. 20 and each chocolate costs Rs. 10. If he has Rs.1,000, how much should he spend on ice creams to maximise his happiness?
500
@amresh_maverick said:Manish €™s happiness is given by a function a2b, where a is his daily consumption of ice creams and b is his daily consumption of chocolates. Each ice cream costs Rs. 20 and each chocolate costs Rs. 10. If he has Rs.1,000, how much should he spend on ice creams to maximise his happiness?
2a+b = 100
for a^2*b to be max -> a = b/2 = 100/3
=> a = 33.33
so he should spend 33.33*20 = 666.6
Thank you puys for the prev question.I have another question in this attachment,again w.r.t to geometry basics.Do help in soving it too!:)
@AbhiFMS said:Thank you puys for the prev question.I have another question in this attachment,again w.r.t to geometry basics.Do help in soving it too!
radius is 60
If |a| I. 'a' is positive.
II. 'b' is negative.
III. 'c' is positive.
a Only I
b I and II
c II and III
d I, II and III
e I and III
II. 'b' is negative.
III. 'c' is positive.
a Only I
b I and II
c II and III
d I, II and III
e I and III
@AbhiFMS said:Thank you puys for the prev question.I have another question in this attachment,again w.r.t to geometry basics.Do help in soving it too!
50?
@amresh_maverick said:If |a| I. 'a' is positive. II. 'b' is negative. III. 'c' is positive. a Only I b I and II c II and III d I, II and III e I and III
c?
@AbhiFMS said:@iLoveTorres can u pls explain it?well,i dont have the ans with me.
i am also not sure of the answer but what you have to do here is consider 1/4th of the square that contains the rectangle. now jus imagine how many such triangles you need to replicate to fill the entire square. also since length is 20 width is 10 so vertically you need twice as many rectangles as on the horizontal line. Though i will try to put a mathematical solution to it
@ChirpiBird i do not hav the record of correct ans for this.It wuld be helpful if u explain the method.