Official Quant thread for CAT 2013

The product of two numbers '231' and 'ABA' is 'BA4AA' in a certain base system (where base is less than 10), where A and B are distinct digits. What is the base of that system?

@Papasappies

There are three cities: A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from one city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly, there are 23 routes from B to C (including those via A).



How many roads are there from A to C directly?



1) 10



2) 3



3) 5



4) 6



5) 12



6) CAT me aa hi nahi sakta aisa question. Skip



the possibilities for the number of routes from A to C is either one of {1,4,9}.

there are 20 students in a class studying 3 diff subjects.None of the students takes up a single subject alone.If each of these subjects is taken up by a diff number of students what can be the max number of students taking up all three subjects?


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0 voters

Let a be a positive integer divisible by 4 but not divisible by 8. What is the largest positive integer n such that 2^n divides


a^100 + a^101 + a^102 + ... + a^1000 ?

If 13x + 17y = 555, where x and y are natural numbers, what is the maximum possible value of the product of x and y?


Q3






max value of (2(x)^2+3(x)+4)/(x)^2 +X+3


can v solve this using differentiation ?? plz help .

Any one help me with the funda of functions (types and no of functions etc )

and any e material related with modulus based problems ..

thanx in advance

First 100 natural numbers in the decimal system are converted to base 6 and their product is found. Find the number of consecutive zeros at the end of the product as counted in the base 6 system.

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0 voters

radius of circle D is 8..find AB???
Pls see the attachd figure...

How many distinct line can nct line can be drawn through 8 point exactly 4 of which are collinear and remaining 4 are also collinear

puyz plss help
refer to the attachd fig
MN is parallel to AB, MP=rt 56, PN=12, radius of circle=???

Remainder when 12^143 divided by 37 ?

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I usually take Aimcats on weekends which more often than not is the last day of the window.
I find at least 2 to 3 Q already discussed on Q thread.
Its my personal request to every one to please not to discuss the Q from active mocks.
It is advisable to hold your horses for a few days.
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X=1+4/3+(9/3^2)+(16/3^3)+(25/3^4)+.........

WHAT IS X equals to


Find the least number which when divided by 16, 18 and 20 leaves remainder 4 in each case, but is divisible by 7?
Approach please

Find the number of integral solutions to a*b*c*d = 180 where a,b,c,d are all distinct.

Method please !

what is the minimum value of |PQ| = |P| + |Q|+12.. Where P and Q are real numbers. ?

assume for simplicity that N people, all born in april (a month of 30 days), are collected in a room. consider the event of atleast two people in the room being born on the same date of month, even if in different years, e.g 1980 and 1985. what is the smallest N so that the probablity of this event exceeds 0.5 ?? Approach pls....
a) 20 b) 7 c) 15 d) 16

In how many way we can select 5 apples , 6 bananas and 2 mango?