Official Quant thread for CAT 2013

grkkrg

if he meets target for each day 95*30=2850

but actually he got 2724 lesser amount than above 2850-2724=126

less amount for one day=18

126 rs less amount =126/18=07 days

so he woked 23 days as per target. Ans

@gkkshetija said:
grkkrgif he meets target for each day 95*30=2850 but actually he got 2724 lesser amount than above 2850-2724=126less amount for one day=18126 rs less amount =126/18=07 daysso he woked 23 days as per target. Ans
I'm sorry, but can you quote the problem or the solution that I've provided?

Can anyone solve this?
In Triangle ABC,AB=AC and D is a point on AB,Such that AD=DC=BC.Find L BAC.
{answer is 36 degree} :D

@Rakaesh said:
Can anyone solve this?In Triangle ABC,AB=AC and D is a point on AB,Such that AD=DC=BC.Find L BAC.{answer is 36 degree}
use sum of angle formala=180 two times.. 36 will be the value of beta.. see attachment
@Rakaesh said:
Can anyone solve this?In Triangle ABC,AB=AC and D is a point on AB,Such that AD=DC=BC.Find L BAC.{answer is 36 degree}
Let AD=DC=BC=x
DB=a and AC=a+x
by cosine formula on DAC => cos(BAC)=y/(2x)
by cosine formula on BDC => cos(DBC)=a/2x
let angle BAC = A and angle DBC=B
so A= 180-2B => cos(A)=-cos(2B)
and cos(A)=(1/2)+cos(B)
solve these two equations to get cos(B) as (sqrt(5)-1)/4 and A=36
@naveenkrs said:
Let AD=DC=BC=x DB=a and AC=a+xby cosine formula on DAC => cos(BAC)=y/(2x)by cosine formula on BDC => cos(DBC)=a/2xlet angle BAC = A and angle DBC=Bso A= 180-2B => cos(A)=-cos(2B)and cos(A)=(1/2)+cos(B)solve these two equations to get cos(B) as (sqrt(5)-1)/4 and A=36
Why AC=a+x?
D is a point on AB.
@negiSannu said:
use sum of angle formala=180 two times.. 36 will be the value of beta.. see attachment
That did it!Thanks.
Find the selling price of goods if two salesman claim to make 25% profit each, one calculating it on cost price while another on selling price , the difference in the profits earned being Rs. 100 and selling price being the same in both cases
@ani6 said:
Find the selling price of goods if two salesman claim to make 25% profit each, one calculating it on cost price while another on selling price , the difference in the profits earned being Rs. 100 and selling price being the same in both cases
2000 ?
I don't remember which one is correct question try both

For how many integer values of x , 1 ≤ x ≤1000, such that x is a divisor of [(2^x) − 1] ?

OR

For how many integer values of x , 1≤ x ≤1000, does there exist an integer y , 1≤ y ≤1000, such that x is a divisor of [(2^y)−1]?
@jain4444 said:
I don't remember which one is correct question try both For how many integer values of x , 1 ≤ x ≤1000, such that x is a divisor of [(2^x) − 1] ? OR For how many integer values of x , 1≤ x ≤1000, does there exist an integer y , 1≤ y ≤1000, such that x is a divisor of [(2^y)−1]?
1 for the 1st one ?
@ani6 said:
Find the selling price of goods if two salesman claim to make 25% profit each, one calculating it on cost price while another on selling price , the difference in the profits earned being Rs. 100 and selling price being the same in both cases
2000?
SP - CP1/CP1 = 25/100 = 1/4------>4SP = 5CP1
SP - CP2/SP = 25/100 = 1/4------>3SP = 4CP2

P2 - P1 = 100
(SP - CP2) - (SP - CP1) = 100
SP - 3SP/4 - (SP - 4SP/5) = 100
SP/4 - SP/5 = 100
SP = 2000
@jain4444
nly 1

hey guys an upstream-downstream problem--
majhi is travelling from A to B and B to A on a boat.
60 min to go from A to B & 30 min from B to A.
what would be the time taken by the boat if the flow of the river ceases???

@vishcat said:
hey guys an upstream-downstream problem--majhi is travelling from A to B and B to A on a boat.60 min to go from A to B & 30 min from B to A.what would be the time taken by the boat if the flow of the river ceases???
2D=v+u
D=v-u
v=3D/2
u=D/2

2D/3D=40 mins
@vishcat said:
hey guys an upstream-downstream problem--majhi is travelling from A to B and B to A on a boat.60 min to go from A to B & 30 min from B to A.what would be the time taken by the boat if the flow of the river ceases???
Is the answer 80 min?( from A to B and back )
@vishcat said:
hey guys an upstream-downstream problem--majhi is travelling from A to B and B to A on a boat.60 min to go from A to B & 30 min from B to A.what would be the time taken by the boat if the flow of the river ceases???
40min ?
@Subhashdec2 correct ans.....pls explain it.
@techgeek2050 ya...explain