Official Quant thread for CAT 2013

@techgeek2050 said:
p,q,r are non negative integers such that p + q + r = 10 the maximum value of pqr + pr + qr + pq is
a- >=40 and
b- >=50 and
c- >=60 and
d- >=70 and
e- >=80 and

dunno the oa. plz post ur approach.
it will be c
>=60 and
let all values be equal it will give maximum
let p q r be 10/3
now this gives 70.03 as maximum
so it will definately be less than 70 for integer but greater than 60
@techgeek2050 said:
p,q,r are non negative integers such that p + q + r = 10 the maximum value of pqr + pr + qr + pq isa- >=40 and b- >=50 and c- >=60 and d- >=70 and e- >=80 and dunno the oa. plz post ur approach.
3 3 4 will give u a value of 69 which shud be d max... my opinion...
in distribution of values wen their sum is fixed..........idea is to put them as close to as possible.... no concrete method though....
@abhishek.2011 said:
2(x-y)(x+y+1)=28(x-y)(x+y+1)=14x+y+1=7x-y=2x=4, y=22y^2+2y+2-x= 10
Or, x+y+1 = 14 and x-y = 1 which gives 7 and 6.

More to the point y cannot be 2 as the number 222 does not exist in base 2. Hence x =7 and y = 6 are only possible case, giving 79 as the answer.

regards
scrabbler


@mailtoankit
@techgeek2050 said:
p,q,r are non negative integers such that p + q + r = 10 the maximum value of pqr + pr + qr + pq isa- >=40 and b- >=50 and c- >=60 and d- >=70 and e- >=80 and dunno the oa. plz post ur approach.
p = q = r = 10/3

max value = 10/3^3 + 10/3^2 + 10/3^2 + 10/3^2 = 70.3...ab ans option c hai ya d yeh samjh nahi aa raha..
@scrabbler said:
Or, x+y+1 = 14 and x-y = 1 which gives 7 and 6.

More to the point y cannot be 2 as the number 222 does not exist in base 2. Hence x =7 and y = 6 are only possible case, giving 79 as the answer.
regardsscrabbler


@mailtoankit
yup u r right my mistake 222 is not possible in base 2
@mailtoankit said:
p = q = r = 10/3max value = 10/3^3 + 10/3^2 + 10/3^2 + 10/3^2 = 70.3...ab ans option c hai ya d yeh samjh nahi aa raha..
Integers hao p, q and r :)
@techgeek2050 said:
p,q,r are non negative integers such that p + q + r = 10 the maximum value of pqr + pr + qr + pq isa- >=40 and b- >=50 and c- >=60 and d- >=70 and e- >=80 and dunno the oa. plz post ur approach.
C hona chahiye waise
A special kind of wine requires to be kept for 4 years in a special chamber as as to acquire the required taste.The cost of manufacturing one bottle is 250 and inventory cost for each bottle is rs 4 per year.The company makes 6000 bottles and keeps them in special chambers, but every year 2% of the bottles break.After 4 years at what price should they sell remaining bottles to make a profit of 10%
@ScareCrow28 said:
Integers hao p, q and r
acha haan yaar.....to p = q = r = 3,3,4...to max value less than 70 hogi..
@amresh_maverick said:
OA :9 :20 :18 Let S be the sum of an arithmetic series. The arithmetic mean of every two consecutive terms and every three consecutive terms of S form the consecutive terms of series S1 and S2 respectively. If the sum of all the terms in series S1 and in series S2 are 1375 and 690 respectively, then find the sum of all the terms in series S.
OA : 2060 @ll correct
@amresh_maverick
ab wo traingle wala bhi bata do
i cudn't do it
so plz sol.....
@Pradeep_Rss said:
A special kind of wine requires to be kept for 4 years in a special chamber as as to acquire the required taste.The cost of manufacturing one bottle is 250 and inventory cost for each bottle is rs 4 per year.The company makes 6000 bottles and keeps them in special chambers, but every year 2% of the bottles break.After 4 years at what price should they sell remaining bottles to make a profit of 10%
manufacturing cost = 6000*250 = 1500000..
for first year -> 6000*4 = 24000
cost after first year = 1524000 --- (1)
2% bottles break after 1st year, hence bottles left -> 5880
cost of maintaining in chamber = 5880*4 = 23520 --- (2)
2% bottles break after 2nd year, hence bottles left -> 4704
cost of maintaining in chamber = 4704*4 = 18816 --- (3)
2% bottles break after 3rd year, hence bottles left -> 4609
cost of maintaining in chamber = 4609*4 = 18436 --- (4)
2% bottles break after 4th year, hence bottles left -> 4516
cost of maintaining in chamber = 4516*4 = 18064 --- (4)

hence, cost = 1524000+23520+18816+18436+18064 = 1602836

so, selling price should be = 1602836*1.1 = 1763119.6 ??

Calculation mistake....abb doobara nahi karr raha solve... :|
@techgeek2050 said:
p,q,r are non negative integers such that p + q + r = 10 the maximum value of pqr + pr + qr + pq isa- >=40 and b- >=50 and c- >=60 and d- >=70 and e- >=80 and dunno the oa. plz post ur approach.
Max value is around 70....
So should be between 60 to 70...

@Logrhythm said:
manufacturing cost = 6000*250 = 1500000..for first year -> 6000*4 = 24000cost after first year = 1524000 --- (1)2% bottles break after 1st year, hence bottles left -> 5880cost of maintaining in chamber = 5880*4 = 23520 --- (2)2% bottles break after 2nd year, hence bottles left -> 4704 cost of maintaining in chamber =4704*4 = 18816 --- (3)2% bottles break after 3rd year, hence bottles left -> 4609cost of maintaining in chamber = 4609*4 = 18436 --- (4)2% bottles break after 4th year, hence bottles left -> 4516cost of maintaining in chamber = 4516*4 = 18064 --- (4)hence, cost = 1524000+23520+18816+18436+18064 = 1602836so, selling price should be = 1602836*1.1 = 1763119.6 ??
2% of 5880 shud be 116 ya 117............
i think u took it as 20%...

PS its ugly calculation..........
@amresh_maverick said:
A triangle ABC has 2 points marked on side BC, 5 points marked on side CA and 3 points marked on side AB. None of these marked points is coincident with the vertices of the triangle ABC. All possible triangles are constructed taking any three of these points and the points A, B, C as the vertices. How many new triangles have at least one vertex common with the triangle ABC?
OA : 127

PFA
@Dexian
@Pradeep_Rss

Can u provide the options once..?
@Dexian said:
2% of 5880 shud be 116 ya 117............ i think u took it as 20%...PS its ugly calculation..........
abe yaar... :(

hero bann raha tha...bina paper pen ke karke...galati kardi...abb nahi kar raha solve.. :p
Q: 123123............300 times div by 1001 find the remainder?
@pyashraj said:
@Pradeep_RssCan u provide the options once..?
all options are above 300 they r 300, 315,350,400.we can approximate it to 315.
@Logrhythm said:
abe yaar... hero bann raha tha...bina paper pen ke karke...galati kardi...abb nahi kar raha solve..
cool down bhai..thoda break lo ..:) GN all:)