Official Quant thread for CAT 2013

in how many ways 12 different books can be distributed equally among 4 persons.?

options
a)195
b)154
c)210
d)256

approach please

find the sum of all 8 digit number that can be formed with the digit 1,1,1, 5,5,7,8,9..


approach please

For each positive integer n, let

an = (n+9)!/(nāˆ’1)!


Let k denote the smallest positive integer for which the rightmost nonzero digit of

ak is odd. The rightmost nonzero digit of ak is

  • 7
  • 9
  • 1
  • 5
  • 3

0 voters

Was the year "1900" a Leap Year???
Will the year "2100" be a Leap Year??

Any Idea puys??😁

No of scalene triangles with integral sides having perimeter=20 cm..pls share ur approach

How many times you write digit 1 while writing all natural numbers from 1 to 1000?

Given N=98765432109876543210...up to 1000 digits, find the smallest natural number n such that N+n is divisible by 11.


To write all the page numbers of a book, exactly 136 times digit 1 has been used. Find the number of pages in the book.

find the remainder :-
332332332332332..... upto 1000 digits is divided by 19 ??

52,34,32,26,49,x find x in the sequence and sorry for the off topics,guys

there are 'p' points in the space, no four of which are in the same plane with the exception of the point which are all in the same plane. the number of different plane determined by the point ,are?

how many distinct six digit nubers are there having 3 odd and 3 even digits?


😠

#CAT Quant Fundas:
To Find Square of a 3-Digit Number.
Let the number be XYZ
Steps are :
a. Last digit = Last digit of Sq(Z)
b. Second last digit = 2*Y*Z + any carryover from STEP 1
c. Third last digit 2*X*Z+ Sq(Y) + any carryover from STEP 2
d. Fourth last digit is 2*X*Y + any carryover from STEP 3
e. Beginning of result will be Sq(X) + any carryover from Step 4
Eg) Let us find the square of 431
Step a. Last digit = Last digit of Sq(1) = 1

b. Second last digit = 2*3*1 + any carryover from STEP 1=6+0=6

c. Third last digit 2*4*1+ Sq(3) + any carryover from STEP 2 = 8+9+0 = 17 i.e. 7 with carry over of 1
d. Fourth last digit is 2*4*3 + any carryover from STEP 3 = 24+1 = 25 i.e. 5 with carry over of 2
e. Beginning of result will be Sq(4) + any carryover from Step 4 = 16+2 = 18
THUS SQ(431) = 185761mg

Find remainder : 39^39 / 41 ?

pls guide in such questions @chillfactor

the number of integral values for which x^2- (a-1)x + 3=0 has both the roots positive and x^2+3x+ (6-a)=0 has both the roots negative is? 012InfiniteOA is 2..please share the approach.

the number of integral values for which x^2- (a-1)x + 3=0 has both the roots positive and x^2+3x+ -(6-a)=0 has both the roots negative is?

0
1
2
Infinite


OA is 2..
please share the approach.


If the equations ax^2 + bx + c=0, cx^2 + bx +a= 0, a is not equal to c have a negative common root the value of a-b+c is

0

1

2

None.


OA is 0


Need approach … q)100 million bacteria can completely decompose a garbage dump in 15 days and 60 million bacteria can do so in 30 days .if same quantity of garbage added toinitial quantity of the dump every day how many bacteria will be required to completely decompose the dump in 10 days

  • 125
  • 150
  • 120
  • 180
  • 140

0 voters

the number of values of k for which (x^2-(k-2)x+k^2) (x^2 + kx + (2k-1)) is a perfect square is

0

1

2

None


OA is 1..


but how??


Find the maximum and minimum values of the function (x^2 - x + 1)/(X^2 + x +1) for all real values of x.


3 and -3
1/3 and -1/3
3 and 1/3
None.

OA 3 and 1/3