Official Quant thread for CAT 2013

if x is a positive integer such that 4x^4+3x^3+2x^2+x+24 is perfectly divisible by x, then how many values of x are possible?

x+y+z?answer is 12c2.please explain the approach

x+y+z.the answer is 12c2.please explain the approach.

From where and how many past CAT papers can I avail..And can anyone please suggest any practice material for these 6 weeks left..Any help would be appreciated...Thanks :)


Answer this mgmg

find possible pairs of co-primes of 2^3 *3^2 *5^3 ?


remainder when 13^2013 is divided by 100.
any method apart from mod approach?

Take a bicycle with following specifications:--The front de-railer is on the 52 tooth gear and the rear de-railer is on the 14 tooth gear --The rear gear has 14 teeth --The diameter of the rear wheel is 27"If a bicyclist pedals at 75 revolutions per minute, then what will be the speed achieved? A. 22.38B. 26.85C. 25D. 30

consider the polynomial p(x)=1-x+x2-x3+....+x16 –x17.if this polynomial is expressed as q(y)=a0+a1y+a2y2+…+a16y16+a17y17 where y=x+1,then what is the value of a1.approach plz

Can someone suggest me any book to learn the concept of maxima/minima in set theory

Solve for x: 2 cos 3x – 1 = 0 where x

∈(0, 2pie).

60o, 300o

20o, 100o

30o, 60o

60o, 180o


o (Please note refer to degree)

None of these

Find the smallest number that has 18 factors.

  • 288
  • None of the above
  • 180
  • 768

0 voters

Find the value of cos (–7π/2).

0

–√3/2

1/√2

± √3/2

+√3/2

The value of cos 1°+ cos 2°+ cos 3°+ …. + cos 179°

is

a positive real number

a negative real number

0

an imaginary number

none of these

Hi Puys,


Please help with the following PnC questions:

1. How many 9-digit numbers can be formed out of the number 217943627 so that the order of even digits does not change?
(a) 9!
(b) 9P4
(c) 9P4 X 5!
(d) 9! / (4!X 2!)
(e) 9! / (2!X 2!)

2. A computer library has p copies of one software, q copies of each of two softwares, r copies of each of four softwares and single copies of s number of softwares. In how many ways can these be distributed, if all are out at once.
(a) p+q+r+s
(b) p X q/2! X r/4! X s
(c) (p+2q+4r+s)! / (p!(q!)^2 (r!)^4)
(d) p!2q!4r!s!
(e) (p+2q+4r+s)! / (q!)^2 (r!)^4)

3. If there are 'n' periods in each working day of a school; in how many ways can one arrange 'r' subjects (rat least one period?

Thanks!!


Find the sum of the cubes of the first 10 odd natural numbers.

19900

19800

20000

19700

parallel sides of a trapezium r 25 cm , 10 cm and measures of unparalleled sides r 14cm and 13 cm ...wht is the area?

There are 12 intermediate stations between two places A and B. In how many ways can a train be made to stop at 4 of these 12 intermediate stations provided no two of them are consecutive? a. 45 b. 126 c. 84 d. 168

What is the minimum value of the expression for real values of 'x'?

x^2+x+1/x^2-x+1


need the method.

If x,y and z are real numbers,the minimum possible value of x^2+2y^2+z^2+2yz given that x+2y+z=-6

a.-6 b.6 c-12 d.12