The Official CAT 2007 Quant Thread

[sachin2807]

Originally Posted by sharang

yup dats rite...plz post soln also

simply first form two grps of (70,75) and (80,85)
now use this formula 75-(100-70)=45
and 85-(100-80)=65
again form a grp of 65 and 45
65-(100-45)=10

[aravindva]

Originally Posted by sachin2807

simply first form two grps of (70,75) and (80,85)
now use this formula 75-(100-70)=45
and 85-(100-80)=65
again form a grp of 65 and 45
65-(100-45)=10

sachin bhai dint understand ur method
can u plzz explain

[sharang]

Originally Posted by sachin2807

simply first form two grps of (70,75) and (80,85)
now use this formula 75-(100-70)=45
and 85-(100-80)=65
again form a grp of 65 and 45
65-(100-45)=10

couldn't understand...what grps and y?

[sachin2807]

Originally Posted by aravindva

sachin bhai dint understand ur method
can u plzz explain

when u r given four values and you are asked to calculate the minimum % using all the four..you can use this formula(dis one is a shortcut)...otherwise you have to draw venn diagram involving all the four quantities and then look for max and min.

[sharang]

Here's how i interpret it sachin..
The min ppl with 2 items for lesser two pair(70,75) is 70+75-100=45
The min ppl with 2 items for bigger pair(80,85) is 80+85-100=65
That is min 45 ppl have item 1 and 2(say) so max ppl who dont have item 1 and 2 is 100-45=55
So min ppl who have all 4=65-55=10

[sachin2807]

Originally Posted by sharang

Here's how i interpret it sachin..
The min ppl with 2 items for lesser two pair(70,75) is 70+75-100=45
The min ppl with 2 items for bigger pair(80,85) is 80+85-100=65
That is min 45 ppl have item 1 and 2(say) so max ppl who dont have item 1 and 2 is 100-45=55
So min ppl who have all 4=65-55=10

nothing to do wit bigger pair and smaller pair...u can choose any pair you want
eg. if i go for (85,75) and (80,70)

85-(100-75)=60
80-(100-70)=50
60-(100-50)=10

[sharang]

Originally Posted by sachin2807

nothing to do wit bigger pair and smaller pair...u can choose any pair you want
eg. if i go for (85,75) and (80,70)

85-(100-75)=60
80-(100-70)=50
60-(100-50)=10

thanks man...so in general this means for problems involving four entities,we make pairs to calculate min value of all four...is there any method to determine max also?

[sachin2807]

This one came in Time last week...

Q > Let (PQRST)base12 be a five digit number in base 12 with distinct non zero digits.All the possible three digits are now formed using the digits of the above number without repetition.What is the quotient when the sum of all such three digits numbers is divided by the sum of the digits of the original number??(Assume all the numbers to be in base 12)

[mr.s.k.abhi]

Originally Posted by sachin2807

This one came in Time last week...

Q > Let (PQRST)base12 be a five digit number in base 12 with distinct non zero digits.All the possible three digits are now formed using the digits of the above number without repetition.What is the quotient when the sum of all such three digits numbers is divided by the sum of the digits of the original number??(Assume all the numbers to be in base 12)

Sachin bhai plz check.. i m getting the quotient as...

60*157= 9420

[mr.s.k.abhi]

Originally Posted by sharang

Plz explain this Cat 05 qn
Let S be the set of 5 digit nos formed by the digits 1,2,3,4,5 using each digit exactly once,such that exactly two odd positions are occupied by odd digits.What is the sum of the digits in the rightmost positions of the numbers in S?

Sharang is the answer 360

plz check and respond