Official Quant thread for CAT 2013

@saurav205 said:
A warehouse contains 200 shoes of size 8, 200 shoes of size 9 and 200 shoes of size 10. Of these 600 shoes, there are 300 left shoes and 300 right shoes.. What is the minimum number of usable shoes?50100200none of these.P.S. : Everyone match dekhing kya?? No activity on the thread today...
_______________/\______________
200 ???

@saurav205 said:
A warehouse contains 200 shoes of size 8, 200 shoes of size 9 and 200 shoes of size 10. Of these 600 shoes, there are 300 left shoes and 300 right shoes.. What is the minimum number of usable shoes?50100200none of these.P.S. : Everyone match dekhing kya?? No activity on the thread today...
100 kya?
@DeAdLy said:
_______________/\______________200 ???
___/\___
Check again...
Approach ??
@Narci said:
100 kya?
Approach ??
@saurav205 said:
___/\___Check again...Approach ??
arey galat hai kya??
maine to sirf 3 types dekh ke 1/3 usable samjha to out of 600 = 200

matalb solve karvaoge!
@saurav205 said:
A warehouse contains 200 shoes of size 8, 200 shoes of size 9 and 200 shoes of size 10. Of these 600 shoes, there are 300 left shoes and 300 right shoes.. What is the minimum number of usable shoes?50100200none of these.P.S. : Everyone match dekhing kya?? No activity on the thread today...
Dekho agar 300 left shoes hai toh maximum 200 shoes of size 8 will all be left shoes..
Similarly 300 right shoes bole toh anyother size 9 or size 10 can all be right shoes..
So the remaining 100 left shoes and 100 right shoes shoulld be from one particular pair.. hence 100..
N = 3! + 4! ..... + 64!which of the following statements is true regarding N
a) N --perfect square
b)N --perfect cube
c) both A & B
D) neither A nor B
@saurav205 said:
Approach ??
200 of 3 different sizes..

and 300 each of L and R both..

and since we need to find out least usable form, we need to find out maximum unusable ones..

so if we take 200 of size 8 all of L...

then we have 400 shoes remaining in which 100 are of L and 300 of R..

Also 200 of size 9 and 200 of size 10..

now if we take 200 of size 10 of R..

we have remaining 200 of size 9.. 100 L and 100 R..

so we have minimum 100 usables..


100 O.o

@saurav205 said:
A warehouse contains 200 shoes of size 8, 200 shoes of size 9 and 200 shoes of size 10. Of these 600 shoes, there are 300 left shoes and 300 right shoes.. What is the minimum number of usable shoes?50100200none of these.P.S. : Everyone match dekhing kya?? No activity on the thread today...
OA : 100
@sachisurbhi said:
N = 3! + 4! ..... + 64!which of the following statements is true regarding Na) N --perfect squareb)N --perfect cubec) both A & BD) neither A nor B
D ?
@sachisurbhi said:
N = 3! + 4! ..... + 64!which of the following statements is true regarding Na) N --perfect squareb)N --perfect cubec) both A & BD) neither A nor B
sorry i missed the +sign in between.. answer should be D
@sachisurbhi said:
N = 3! + 4! ..... + 64!which of the following statements is true regarding Na) N --perfect squareb)N --perfect cubec) both A & BD) neither A nor B
D
@sachisurbhi said:
N = 3! + 4! ..... + 64!which of the following statements is true regarding Na) N --perfect squareb)N --perfect cubec) both A & BD) neither A nor B
after 4! each term contains 0 at the last from 5! onwards
so utlimately last digit becomes 3! + 4! = 0(last digit)
square and cube of any number gives 0 at last digit only when number like 10,100 etc
which is not possible here so D
@sachisurbhi said:
N = 3! + 4! ..... + 64!which of the following statements is true regarding Na) N --perfect squareb)N --perfect cubec) both A & BD) neither A nor B
Shud be D
@Narci said:
100 kya?
Pujara ka? Haan. Also the answer to the question :)

regards
scrabbler

@sachisurbhi said:
N = 3! + 4! ..... + 64!which of the following statements is true regarding Na) N --perfect squareb)N --perfect cubec) both A & BD) neither A nor B
All terms from 4! onwards are divisible by 8, but 3! is only divisible by 2
So, expression is of form 8n + 6 or 2(4n + 3)
Exponent of 2 in (3! + 4! + 5! + .... + 64!) is 1, so it can not be a perfect square or a perfect cube
@scrabbler said:
Pujara ka? Haan. Also the answer to the question regardsscrabbler
thodi der baad vijay ka bhi..

quant real headache to me plz tell how to approach for quant for cat .

@saurav205 said:
Good Morning Guys,sab kahan gayab ho?When a two digit number is added to another two digit number having the same digits in reverse order, the sum is a perfect square.How many such 2 digit numbers are there?46810
8 numbers ?

10x + y + 10y + x = k^2
11(x + y) = k^2
x + y = 11
(2,9)(3,8)(4,7)(5,6)(6,5)(7,4)(8,3)(9,2)