Official Quant thread for CAT 2013

MBA CAT 2024
30069
@ScareCrow28 said:
Dekho 5 boxes to hogaye..ab bache 3 boxes..usme bhi to koi number bharna hai na... to atleast 6 hogaye na...

okay assume that 120, 121, 122 oranges being dropped in those boxes. Now, since the number of equal boxes to be minimum, there is already 122 boxes in which 123- 144 oranges were dropped already in sets of 25 so 5 will be the least. for example 4,29,54,79,104 will contain 123 oranges each . 5 boxes with equal number of oranges
30070
@albiesriram said:
A three-digit number abc is divisible by €žX €Ÿ when 2a + 3b + c is divisible by 7. What is X?1. 7 2. 3 3. 5 4. 9
100a + 10b + c = m*X
2a + 3b + c = 7n
By observation , take a = 2, b =1 and c = 0 OR a=1, b=1 and c= 2

Number becomes = 210 OR 112
We can see both numbers are divisible by 7 only
30071
@albiesriram said:
The number of divisors of an odd number is 34. If it is multiplied by 12, the number of divisors will be1. 278 2. 76 3. 204 4. 216
204 hai kya ?
30072
@ScareCrow28 said:
Dekho 5 boxes to hogaye..ab bache 3 boxes..usme bhi to koi number bharna hai na... to atleast 6 hogaye na...
suppose u put 121, 122 and 123 in the boxes....then 120 is only in 5 boxes....so minimum 5 raha,...
30073
@albiesriram said:
The number of divisors of an odd number is 34. If it is multiplied by 12, the number of divisors will be1. 278 2. 76 3. 204 4. 216
Odd Number has divisors = 34 = 2*17

So, N = p^1 * q^16 where p and q are odd numbers.

=> 12N = 2^2 * 3^1 * p^1 * q^16
So, Divisors = 3*2*2*17 = 12*17 = 204 ? :roll:

Though this one is a bit ambiguous. p or q can be 3 itself. :splat::splat:
30074
@albiesriram said:
The number of divisors of an odd number is 34. If it is multiplied by 12, the number of divisors will be1. 278 2. 76 3. 204 4. 216
3>204
30075
@albiesriram said:
The number of divisors of an odd number is 34. If it is multiplied by 12, the number of divisors will be1. 278 2. 76 3. 204 4. 216
34 = 2*17 = 1*34
N = a*b^16 OR a^33

12 = 2^2 * 3

12N = 2^2 * 3 * a * b^16
Divisors = 3*2*34 = 204 ?
30076
@albiesriram said:
The number of divisors of an odd number is 34. If it is multiplied by 12, the number of divisors will be1. 278 2. 76 3. 204 4. 216
it's 204

30077
@heylady said:
suppose u put 121, 122 and 123 in the boxes....then 120 is only in 5 boxes....so minimum 5 raha,...
@albiesriram said:
okay assume that 120, 121, 122 oranges being dropped in those boxes. it Now, since the number of equal boxes to be minimum, there is already 122 boxes in which 123- 144 oranges were dropped already in sets of 5 so 5 will be the least.
Aye Aye sir!!
30078
@albiesriram said:
The number of divisors of an odd number is 34. If it is multiplied by 12, the number of divisors will be1. 278 2. 76 3. 204 4. 216
204 hai kya?
30079
@albiesriram said:
The number of divisors of an odd number is 34. If it is multiplied by 12, the number of divisors will be1. 278 2. 76 3. 204 4. 216
204 ..
30080
Consider a triangle. Its longest side has length 12 and another of its sides has length 9. Its area is 54. What is the exact length of its third side?
1.15 2.16 3.18 4.20
30081
@ScareCrow28 said:
34 = 2*17 = 1*34N = a*b^16 OR a^3312 = 2^2 * 312N = 2^2 * 3 * a * b^16 Divisors = 3*2*34 = 204 ?
if that odd no is 3 then?
30082
@albiesriram said:
Consider a triangle. Its longest side has length 12 and another of its sides has length 9. Its area is 54. What is the exact length of its third side?1.15 2.16 3.18 4.20
15
30083
@zuloo said:
if that odd no is 3 then?
Match the answers! This is what we generally do :)
30084
@ScareCrow28 said:
Match the answers! This is what we generally do
hahaha..... right but on a serious note Q seems to be incomplete.
30085
@albiesriram said:
The number of divisors of an odd number is 34. If it is multiplied by 12, the number of divisors will be1. 278 2. 76 3. 204 4. 216
CBD

30086
@albiesriram said:
Consider a triangle. Its longest side has length 12 and another of its sides has length 9. Its area is 54. What is the exact length of its third side?1.15 2.16 3.18 4.20
Longest 12..to options me sab >12 kyu?
30087
@zuloo said:
if that odd no is 3 then?
the the answer would be 108 or 154..but thats bot in the options ..so 204
30088
@albiesriram said:
Consider a triangle. Its longest side has length 12 and another of its sides has length 9. Its area is 54. What is the exact length of its third side?1.15 2.16 3.18 4.20
15 ?