Official Quant thread for CAT 2013

MBA CAT 2024
19826
@pavimai said:
P is a set of all factors of 360 and Q is set of all factors of 1200.Find the product of elements of the set P U Q ?????
360 = 6^2 * 10 = 2^3 * 3^2 * 5.

1200 = 4*3*100 = 2^4 * 3 * 5^2

Common = 2^3 * 3 * 5 = 8*15 = 120.

So, Factors of 360 = 4*3*2 = 24.
Factors of 1200 = 5*2*3 = 30.
Factors of 120 = 4*2*2 = 16.

Thus, P U Q = 24 + 30 - 16 = 54 - 16 = 38 factors.
19827
@Subhashdec2 said:
LCM of 360 and 1200?3600?
give the answer in prime factorisation
19828
@blowcat13 said:
Three types of animals, cockroach, mice and crow are there in a room. There are totally 50 heads and 150 tails in the room. No of cockroach is twice than the no of mice. What are the no of mice in the room?
a) 5 b) 10 c) 15 d) none of these
bhai kismein kitni tails hoti h ye btaoo..:d
19829
@pavimai said:
P is a set of all factors of 360 and Q is set of all factors of 1200.Find the product of elements of the set P U Q ?????
360 = 6^2 * 10 = 2^3 * 3^2 * 5.

1200 = 4*3*100 = 2^4 * 3 * 5^2

Common = 2^3 * 3 * 5 = 8*15 = 120.

So, Factors of 360 = 4*3*2 = 24.
Factors of 1200 = 5*2*3 = 30.
Factors of 120 = 4*2*2 = 16.

Thus, P U Q = 24 + 30 - 16 = 54 - 16 = 38 factors.

Product of Elements = 3600 = 2^4 * 3^2 * 5^2.
19830
@pavimai said:
give the answer in prime factorisation
3600=2^4*3^2*5^2
19831
@Estallar12 said:
360 = 6^2 * 10 = 2^3 * 3^2 * 5.

1200 = 4*3*100 = 2^4 * 3 * 5^2

Common = 2^3 * 3 * 5 = 8*15 = 120.

So, Factors of 360 = 4*3*2 = 24.
Factors of 1200 = 5*2*3 = 30.
Factors of 120 = 4*2*2 = 16.

Thus, P U Q = 24 + 30 - 16 = 54 - 16 = 38 factors.
sir product btana h in 38 factors ka
19832
@Subhashdec2 even i donno bhai...
19833
@Subhashdec2 said:
sir product btana h in 38 factors ka
Oh. Lol. :banghead:

Editing.!!
19834
@sbharadwaj said:
There are 11 diagonals in chess board which have 3 or more squares. Hence 1/11..??
@Subhashdec2 : Denominator should be 64C3.. i.e; 41664. And how 112.? Plz explain..
19835
@sbharadwaj said:
@Subhashdec2 : Denominator should be 64C3.. i.e; 41664. And how 112.? Plz explain..
if middle one is not selected den 2*7c3
if the middle one is selected den 2*7c2
add them 112
19836
@blowcat13 said:
Three types of animals, cockroach, mice and crow are there in a room. There are totally 50 heads and 150 tails in the room. No of cockroach is twice than the no of mice. What are the no of mice in the room? a) 5 b) 10 c) 15 d) none of these
5 mice! :O
19837

@sbharadwaj 8 blocks in the one diagonal..need to select 3 so 2*8c3=112
19838
@Estallar12 how???
19839
@pavimai said:
P is a set of all factors of 360 and Q is set of all factors of 1200.Find the product of elements of the set P U Q ?????
Is it 3600??
P = 360 = 3^2*2^3*5
Q = 1200 = 2^2*5^2*2^2*3 = 3*2^4*5^2
(P U Q) = (3^2*2^4*5^2) = 3600...
19840
@blowcat13 said:
Three types of animals, cockroach, mice and crow are there in a room. There are totally 50 heads and 150 tails in the room. No of cockroach is twice than the no of mice. What are the no of mice in the room? a) 5 b) 10 c) 15 d) none of these
@Estallar12 said:
5 mice!
@blowcat13 said:
@Estallar12how???
:banghead: It's TAILS. I took it as Legs and solved. :splat:

6 Legs Cockroach, 4 Legs for Mice and 2 for Crow. Now, I solved it. :O
19841
@Estallar12 said:
It's TAILS. I took it as Legs and solved.

6 Legs Cockroach, 4 Legs for Mice and 2 for Crow. Now, I solved it.
jaldbaazi mein lag rhe ho aaj...:D
19842
In a city 60 % of the population owns a car, 75% owns a rickshaw, 80% owns a scooter, and 95% owns a bicycle, what percent at least owns all four of them???
19843
Accord is slowing down reduces to 7/10th of its original speed in 15 seconds. After another 10 seconds it is travelling at 45 meter per second. Find its original speed before it started slowing down??? (Assume it slows down uniformly)
19844
@Estallar12 mice-5 cockroach-10 crow-35...have u got the same no..???
19845
@Subhashdec2 said:
jaldbaazi mein lag rhe ho aaj...
Haha!
Nahin. Thoda headache and sleepy may be! :mg:

Anyways, Spam nahin karte hain.

Question. -

A certain calculator has a faulty display which can display only the digits 1,2,3 and 4. Find the sum of all the four digit numbers with distinct digits that the calculator can display?
a) 66660
b) 44440
c) 22000
d) 33330
e) none of these.