Official Quant thread for CAT 2013

A scooty is sold by an automobile agency for 19200 cash for 4800 cash down payment together with five equal monthly instalments. If rate of interest charged by the company is 12% per annum find each instalment.

mr x sold watch at 96in such a way that his % profit is same as cp of watch.if he sells it at twice the % profit of previous % profit then the new sp is?

@vbhvgupta said:
CI and SI for a certain sum at certain rate of interest are 220 and 200 . what is the principal for these interest.whts the Logic??
let's say its for one year,
CI= P(1+r/100)^n-P=220
SI=Prn/100=200
nC2 (r/100)^2+... (r/100)^n=20/P=rn/1000
(1+r/100)^n= rn/1000+ 1+nr/100
let r=10
(1.1)^n= 1+.1n+.01n= 1+.11n
for value of n=two, both are nearly equal.
P= 1000?
By the way, please tag me in if there's a more direct or straightforward approach, this has too much room for error! :banghead:
@cynara said:
let's say its for one year, CI= P(1+r/100)^n-P=220SI=Prn/100=200nC2 (r/100)^2+... (r/100)^n=20/P=rn/1000(1+r/100)^n= rn/1000+ 1+nr/100 let r=10(1.1)^n= 1+.1n+.01n= 1+.11nfor value of n=two, both are nearly equal.P= 1000?By the way, please tag me in if there's a more direct or straightforward approach, this has too much room for error!
Ans 500
A LR problem..
Happy solving :)
Pls do post the approach to solve this type of problems also while posting solution...

@Pradeep_Rss said:
mr x sold watch at 96in such a way that his % profit is same as cp of watch.if he sells it at twice the % profit of previous % profit then the new sp is?
132 rs'
@KaranGarcia PLayers are rank from 1 to 64

in 1st round 1 will play against 64
2 will play against 63 and so on.... so total of 1+64=2+63=65
for second round total will be 33 if there is no upset in first round use this concept it will help
did u undesrstood??
@hatemonger Ya I could decipher that...I took 1st round sum of ranks as 65 then 2nd round 33 and so on...Seems tedious!....what if upsets happen??
Couldnt solve the questions !!..
Please do try the questions and lemme know..
@Pradeep_Rss are bro ismain solve karne ki jarurat nai padi direct 60 cp price dikh gaya 60 pe 60 percent profit is equal to 96 rs ....
@Pradeep_Rss said:
mr x sold watch at 96in such a way that his % profit is same as cp of watch.if he sells it at twice the % profit of previous % profit then the new sp is?
let the profit % be X so cp is also X

(1+X/100)*X=96

solve this and u will get X
Hi Everyone,Help me understand the concept.
Q - How many numbers from 1 - 400 ( both included) are not divisible by 2,3,5 and 7.

@vbhvgupta said:
Ans 500
Please tag me in if you get the solution to this problem! :neutral:
Hi Everyone,Help me understand the concept.
Q - How many numbers from 1 - 400 ( both included) are not divisible by 2,3,5 and 7.
@abhishekj1991 said:
what is the remainder when 5555^2222+2222^5555 is divided by 7 ??
0 ??
@ananyboss said:
Hi Everyone,Help me understand the concept.Q - How many numbers from 1 - 400 ( both included) are not divisible by 2,3,5 and 7.
We need to subtract the number of multiples of 2 ie 200
So we are left with 400-200=200
Now we need to remove the multiples of 3 which are odd, so 400/6=66
So we are left with 200-66=134
Now we need to remove multiples of odd multiples of 5 which are 395/10=39
So we are left with 134-39=95
But we also subtracted multiples of 15 which are multiples of 3 and hence have already been subtracted
Number of multiples of 15 = 26
So we are left with 95+26 = 121
Now we need to remove the odd multiples of 7 which are 400/14=28
But in these 28, we have multiples of 21,35 have already been removed , so we need to find them
But again the LCM(3,5,7)=105 are been considered more than once
400/21=19
400/35=11
400/105=3

So 121 - 28 + 19 + 11 - 3 = 120
Whats the OA?

@vbhvgupta said:
CI and SI for a certain sum at certain rate of interest are 220 and 200 . what is the principal for these interest.whts the Logic??
Do not have the exact approach .... by looking at the question u can have some clues for solving
By looking at the question u can deduce it period is for two years so si for one year is rs 100 and ci for fisrt year is 100 and for second year is 120 so it is increased by 20% so rate of interest is 20%
now u can u find out the principal which is 500

The sum of all possible factors of 500 ??

@Calvin4ever said:
The sum of all possible factors of 500 ??
1092??

(5a^2+a+5)(7b^2+b+7)(9c^2+c+9) / 19abc cannot be ?

where a,b,c are positive integers
a)155
b)165
c)180
d)175

@raopradeep said:
(5a^2+a+5)(7b^2+b+7)(9c^2+c+9) / 19abc cannot be ?where a,b,c are positive integers a)155b)165c)180d)175
as min value of this fn is 165