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Question
Seven friends namely P,Q,R,S,T,U,V passed their board exam in 2007 .The result was announced on a sunday and from the next day , they started organising parties on consecutive days . Each one of them organised exactly one party. On none of the days was more than one party organised.
They decided that only four kinds of items viz. Dosa,Pizza,Burger and Idly would be ordered for dinner parties. The costs per plate of dosa, pizza,burger and idly were 25,45,20 and 15 rupees respectively.The following additional information was available
1. In each of the dinner party , total number of plates ordered , taking all four items together was either 8 or 9.
2. Each dinner party had different combination of number of plates of different items and each type of item was ordered for atleast one plate but not more than three plates .
3. Q hosted the party immediately after U.
4. P,R,S,V had ordered for more number of plates than the other three and hosted their parties immediately one after another in that order only.
5. The total number of plates of dosa,pizza,burger and idly ordered were 14,16,18 and 12 respectively including all dinner parties.
6. In each dinner party , at least three items were ordered for 2 or more plates .
Q1) If S paid 35 rupees more than R , then what was the amount paid by R when she hosted the dinner party
a.. 220
b.. 210
c.. 260
d.. either a or b
e.. either b or c
Q2) If the maximum possible amount for a dinner party was paid on monday , then who hosted that party
a.. U
b.. P
c.. R
d.. T
e.. V
Q3) If Q ordered for equal number of plates for each item , but paid Rs. 5 less than T in the dinner party hosted by her, then what can be the maximum possible difference between the amount paid by Q and the minimum possible amount paid by any other friend
a.. 30
b.. 20
c.. 15
d.. 10
e.. 5
Q4) Which of the following could be the day on which maximum possible number of friends could have hosted the party
a.. Monday
b.. Tuesday
c.. Thursday
d.. Friday
e.. Saturday
Q5) Only U,Q and P ordered for 2 burgers each in the parties they hosted. Also, only Q,T,P,R and V ordered for 2 pizzas each in the parties they hosted and only P and R did not order for 2 plates of dosa each in the parties they hosted. How many plates of Idli did R order in the party hosted by her
a.. 1
b.. 2
c.. 3
d.. either a or c
e.. either a or b
Solution by Sasank
hi Mahi,
the plates for 4 of the parties were 9.
now,the possible combinations were 2+2+2+3 and 3+3+2+1
for 8 plates,2+2+2+2 and 1+2+2+3
S paid 35 Rs more than R.
2+2+2+3=>cost can be 225/235/255/230
Confusion
3+3+1+2=>cost can be 200/205/210/220/230/240/245/250/260/265
difference of 35 can come with (200,235)(220,255)(230,265)(205,240)(210,245)(225, 260)
1)
option (D)
2)maximum amount is 265 as shown above.for 8 plates,maximum possible is 240 Rs.U and T are out.S spent 35 Rs more than R,so,R is out.remaining are S and P.now,S can be 255/245 from the options of 1.as 265 is also possible,it has to be by P.
option (B)
3)Q ordered 2 items of each type.so,total cast is 210 Rs.T ordered dishes worth 215 Rs.minimum possible amounts are 200,235,210,205,180
so,maximum possible difference is 30.
option (A)
4)
option (C) just list the days and write the possible cases and add,you will see how.
5)
option (C)
draw a table with names at top and dishes vertically.we can fill all blanks except Dosa of P and R,which can be 3 or 1.
if P orders 1 Dosa,she should order 4 Idlis,so,this case is out.only case satisfying is 3 Dosas by P and 1 Dosa by R,with 2 Idlies by P and 3 Idlies by R.
what are the OA's??
p.s.i refrained from posting detailed answers as they can act as spoilers for puys,who are interested in trying out the questions but havent seen them.just in case,you have any doubts regarding my posts,you can always pm me

[/QUOTE]
S paid 35 Rs more than R.
The DOubt is:
3+3+1+2=>cost can be 200/205/210/220/230/240/245/250/260/265
in above soln,can anyone explain the abv bold part...it's correct..
but how can we get a series of values satisfing the condition given ie from min to maximun price of ordering burgure,pizza,idly,Dosa in combination of 3,3,1,2 in any order...(is it just a hit and trial or is thr any better method exist)...Pls help.