SolidGyan DI - Set a Day Discussions

[vipul88]

Originally Posted by Demolition Man

A new question for all of you...

All the students in a class of 100 attended a summer camp, organised by SAI and WHO together.At the camp ,each of these students had the option of enrolling for coaching classes in at most three sports, namely football,cricket and hockey.

In an attempt to find out the relative popularity of the three sports ,SAI collected the number of students enrolled for each of these three sports and found that, a students enrolled for hockey, b students enrolled for football and c for cricket.

WHO, on its part, collected the data regarding the number of sports enrolled for by each of the 100 students and found that, d students had enrolled for exactly one sport, e students for exactly two sports, f students for exactly three sports and g students had not enrolled for any of the three sports.

Q1) if d>e>f and c is less than a as well as b , what is the maximum possible value of c ?

1)63 2)64 3)65 4)66 5)None of these.

Q2)If a,b,c,d,e,f and g are all distinct natural numbers, the minimum possible number of students who enrolled for at least one sport is

1)9 2)10 3)11 4)13 5)None of these.

Q3)If a+b+c = 100, the number of the students who enrolled for none of the three sports is at most...

1) 30 2)66 3)68 4)52 5)50

Will post the answer tomorrow.

My take:
1.(3)
2.(5) Take d=1,e=3,f=4 & a=5, b=6,c=7. This gives 8.
3.(2) Take a=34, b=33, c=33. And f=33. So, d=1.
So, g=100-33-1=66.

[sidcool007]

In recenlt played 20-2- tournament, 6 teams participated.The schedule of the tournament was such that every team had to lay every other team 12 times.Points were awarded for W(wins),L(loss),T(tie).The following chart gives the number of matches won, lost& tied by diff teams.


Q1.How many W,L and T combinations are possible for team SouthAfrica?
a.3
b.4
c.1
d.2
e.none

Q2.If 5 points are awarded for each win , -3 for each loss,& 2 points for each tie,then what is the max. possible diff b/w the thrid team & third last team.,if we rank them according to their points in descending order?
a.14
b.12.
c.13
d.15
e.none.

[jigar_p_civil]

Originally Posted by sidcool007

In recenlt played 20-2- tournament, 6 teams participated.The schedule of the tournament was such that every team had to lay every other team 12 times.Points were awarded for W(wins),L(loss),T(tie).The following chart gives the number of matches won, lost& tied by diff teams.


Q1.How many W,L and T combinations are possible for team SouthAfrica?
a.3
b.4
c.1
d.2
e.none

Q2.If 5 points are awarded for each win , -3 for each loss,& 2 points for each tie,then what is the max. possible diff b/w the thrid team & third last team.,if we rank them according to their points in descending order?
a.14
b.12.
c.13
d.15
e.none.

for first question ans


win=102+P
loss=158+Q
tie=40+R

so total=300+P+Q+R


total matches=360

but here win=loss so
win=158+p
loss=158+q
tie=40+r

so total=356+p+q+r

p+q+r=4

if r=0 then p=q=2
r=1 not possible because p not equal to q
r=2 then p=q=1
r=3 not possible
r=4 then p=q=0

so total 3 cases possible


Not sure for question 2

but ans for second question is 12?

Little STar

[Ralfi]

Originally Posted by jigar_p_civil

for first question ans


win=102+P
loss=158+Q
tie=40+R

so total=300+P+Q+R


total matches=360

but here win=loss so
win=158+p
loss=158+q
tie=40+r

so total=356+p+q+r

p+q+r=4

if r=0 then p=q=2
r=1 not possible because p not equal to q
r=2 then p=q=1
r=3 not possible
r=4 then p=q=0

so total 3 cases possible


Not sure for question 2

but ans for second question is 12?

Little STar

hello...can u pls explain how win = loss there..from whr did u get tht ?

[jigar_p_civil]

Originally Posted by Ralfi

hello...can u pls explain how win = loss there..from whr did u get tht ?

hey friend win and loss always equal

in match if one win then another loss

if u and me play a match and if u win then obviously i loss the match

i hope u understand what i am saying

[Ralfi]

Originally Posted by jigar_p_civil

hey friend win and loss always equal

in match if one win then another loss

if u and me play a match and if u win then obviously i loss the match

i hope u understand what i am saying

ya i understand ...

so here ...102 + P = 158 + Q

also P+Q+R = 60

so .... P = 58 ,Q = 2, R = 0

only 1 combination am getting ...whr am i gng wrong ??

one more doubt: v cannot surely say tht win = loss ..coz ties shld also come in to picture

[sidcool007]

Originally Posted by Ralfi

ya i understand ...

so here ...102 + P = 158 + Q

also P+Q+R = 60

so .... P = 58 ,Q = 2, R = 0

only 1 combination am getting ...whr am i gng wrong ??

one more doubt: v cannot surely say tht win = loss ..coz ties shld also come in to picture

i got three from P-Q=56
58,2,0
56,0,4
57,1,2

i have my doubt on 3rd one.

[bishweshwar1234]

Originally Posted by sidcool007

i got three from P-Q=56
58,2,0
56,0,4
57,1,2

i have my doubt on 3rd one.

Does anyone has the collection of DI questions & their solutions on this thread. If so, please share it.

i could not collect the solutions for all questions.