Official Quant thread for CAT 2013

sorry to post it here, but i didn't get any response from other threads-
can anyone tell me that to get into MICA one should apply through CAT? or need to take MICAT? or both are mandatory?

3 dice are thrown. What is the probability that exactly 1 is a 6 ? Answer and approach please.

If MONKEY is written as XDJMNL, then TIGER will be written as ?? Pls answer with explaination !

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@chillfactor @scrabbler sir please help me with this question 😃

If AB + XY = 1XP, where A ≠ 0, and all the letters signify different digits from 0 to 9, then what is the of A ?

Two person A and B are running between two points P and Q to and for infinItely . A is starting from P and B is starting from Q . they meet for the first time at 0.6 d from P where d is the distance between the point PQ . At how many distinct points will they meet till there 10 meeting ?

OPTIONS
A)10
B)3
C)4
D)6

APPROACH PLEASE

In a hand at a game of bridge what is the chance that the 4 kings are held by a specified player ?

rem 20!/23 = 11 hota ha but i dont kno d approach... will someone will tell me a link where i can read about it... or u may help by explaining it


rohan and sohan start simultaneously from point p on a circular track in same direction . speed of rohan is 9 times that of sohan . how many times are they diametrically opposite each other by the time sohan completes three rounds .

i need concepts rather than answer

If 4th February, 2000 is a Friday, then 12th November of that year would be a:

1) Friday
2) Saturday
3)Sunday
4) Monday

if y (y>4 or y=4) is an even natural number and x = y^2 - 2y , then the largest number that always divides ( x^2 - 8x) is?
a) 192 b)144 c)384 d)96

@scrabbler @chillfactor I have been facing issues with problems of cubes sides painted and then divided into smaller cubes..which are again painted and all..then at the end find the probability of one side of the cube of a certain color... Any article/study material that can help me understand the concept??????? It will be even better if u can throw some light on the approach of these kind of a problem @JanardanJakad @psk.becks @maa and all others... Will be great if u can also chip in

In an infinite GP, each term is equal to 3 times the sum of the terms that follow. If the first term of the series is 8, find the sum of the series.

  • 12
  • 32/3
  • 34/3

0 voters

New public school have a circular layout.the school has teachers specializing in various subjects. All classroom of the school are equally spaced apart and located along its perimeter.Each Teacher needs four classes in day.there is strange rule.the first and last class has to be in the same class room.the other two classes have to be at two other distinct class rooms.

a:) Bharti is a history teacher.in addition to above rule of the school she teaches exactly one pair of successive classes in adjacent classrooms.how many distinct trips to classes rooms are possible for Bharti if there are 12 classroom in school.

1;) 120 2:) 96 3:) 576 4:) 496


b:) Ram is a Math Teacher.he never teaches two successive classes in adjacent classrooms.how many distinct trip to classroom are possible for ram if there are 9 classroom in the school



1:) 72 2:) 324 3:) 30 4:) 180

@scrabbler @ScareCrow28 @Dazed-Confused @ravi.theja @Papasappies @burnett


@ralins

Hi friends,

Please solve this simple-concept for me
Given: if p & q , then r. (i.e. p & q => r)
Now inferences are -


~r => ~p or ~q (OK)

p & ~r => q (HOW??)

q & ~r => ~p (HOW??)

-------------------------------------

similarily,

Given: p=> q & r

means-

~q or ~r => ~p (OK)

~q & r => ~p (HOW??)

~r & q => ~p (HOW??)

~q & ~r => ~p (HOW??)


Thanks in advance...



guys!!!!!!!!!!!!!! can you explain this Qn:

3 circles with radii 1 unit each touch each other extetnally while bigger circle encloses all the three circles .A smaller circle is drawn in the area enclosed by the 3 circles,concentric with the bigger circle such that it touches all the circles.The ratio of radius of the smallest to biggest circle is:

Find the range of all real values of x if ||x-3|+5|want to know the process that's why not giving the options mg

97!/101.....using wilson theorem, remainder is coming out to be 1/6???? @Nickfreak ....

Q4


In how many ways can 5 people sit around a circular table if one should not have the same neighbors in any two arrangements?

(a) 24 (b) 12 (c) 6 (d) None of these