Official Quant thread for CAT 2013

How many ordered pairs (a, k) are there for which the system of equations 3x + ay = k and

ax + 12y = 48 will have infinite solutions?


Why answer will be 2 ordered pairs. If question ask about unordered pair what will be the answer and why.??

Q5

QuantExpert - Q.O.D

find the remainder when 50^51^52 is divided by 11

...

find tell the approach

The total number of permutations of n (> 1) different things taken not more than 'r' at a time, when each thing may be repeated any number of times is ?

a n^r-1

b n/n-1

c (n^r-1)n/n-1

d (n^r-1)n/n+1

e n^r/n-1.

please explain

Two questions from basic rules in Bases:


1) The number 35A246772 is in base 9. This number when written in base 10 is divisible by 8. Find the value of digit A.



2) A four-digit number N1 is written in base 13. A new four-digit number N2 is formed by rearranging the digits of N1 in any order. Then the difference N1 β‚¬β€œ N2 when calculated in base 10 is divisible by

(a) 9 (b) 10 (c) 12 (d) 13


Can someone help me out in this whats the difference between arun sharma and

Nishit Sinha book i already have been doing arun sharma and able to solve most of lesovel 1 & 2 questions but somehow i am weak in some areas like permutations logs inequalities ie i need to strengthen my basics more so should i refer Nishit Sinha for this ??? if not then which other books can clear basics

There are 28 identical looking coins, all of which except for one weigh the same. Using a common balance, what is the minimum number of weighings required to ensure that the coin with the different weight is identified?

3

4

5

6

There are 7 persons in a college. What is the probability that two of them were born on the same day of the week ?

If all words with 2 distinct vowels and 3 distinct consonants were listed alphabetically, what would be the rank of β€œACDEF'?

  • 4720
  • 4716
  • 4717
  • 4718

0 voters

Could anyone share any test papers or practice papers?

How many natural numbers less than 100 when squared and then divided by 24 leave a remainder of 1?

plz explain

How many unquie values can 3x+6y can take where x and y are positive integers less than 8 ?

How many 6 digit nos have exactly 4 different digits? ( Don't have OA)

Puys,

Kindly suggest a gud DI n Logical Ability Book ( no arun sharma, i am done with it)
Thanks in Advance.
P.S: it might help other puys as well.

find the remainder when 33^34^35 when divided by 7. please explain the approach in detail..

How many palindrome numbers are there which are less than 1 million?

A. 900 B. 999 C. 1998 D. 2009


Somebody please explain the solution to this problem:

There are 10 children standing in a line, not all of them have the same number of chocolates with them. If the 1st child distributes his chocolates to the remaining 9 children such that he doubles their respective number of chocolates then he will be left with 1 chocolate. If the 10th child takes away 1 chocolate from each of the remaining 9 then he will be having 4 chocolates less than the number of chocolates that the first child initially had. What is the total number of chocolates that are there with the 2nd child to the 9th child?


Options: 10 / 12 / 15 / 16

plz provide detailed solution

@Calvin4ever

Nine dots are placed on a piece of paper. Find the maximum number of right angled triangles which can be formed by joining any three dots.



1 answer 1) 18



11 answers 2) 36



1 answer 3) 40



4 answers 4) 28



6 answers 5) none of these



Γ—

can you please explain this how it comes as 36????

In a Triangle ABC, D is a midpoint of BC and E is a midpoint of AD and BF passes through E. What is AF:FC ??



  • 1:3
  • 1:2
  • 2:3
  • 1:1

0 voters