Official Quant thread for CAT 2013

Q5






Let N be a four digit number. If the sum of the digits

of N is divisible by 9, how many values N can take

  • 999
  • 998
  • 1000
  • 1001

0 voters

what is the remainder when 28!+28 is divided by 29?

  • 27
  • 28
  • 1
  • 2

0 voters

how many four digit numbers which are multiples of 147 are perfect squares

  • 6
  • 3
  • 4
  • 5

0 voters

find the sum of all the co-primes of 80 which are less than 80

  • 640
  • 1280
  • 320
  • 960

0 voters

Find the sum of the squares and cubes of the roots of the equation
x^3-2x^2+x-3 = 0


1) 2 and 11
2) 7 and 11
3) 2 and 9
4) 7 and 9


In the expansion of (1+x)^50, the sum of the co-efficients of the odd powers of x is


0

2^49

5^50

2^51

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If a, b and c are all positive numbers and a*b^3*c^4 = 6912, what can be the minimum value of a + b + c?

How many pairs of numbers can you have whose LCM is 144?

Approach please.

The angles of elevation of the top of a tower from points at distance A and B from the base and in the same line with it are complementary. If A>B, then the height of the tower is??

rt(B)-A
rt(B)/A

rt(B)+A

rt(B)*A

The algaebric sum of the perpendicular distances from A(x1,y1) B(x2,y2) and C(x3,y3) to a variable line is 0, then the line passes through


orthocentre of ABC
Centroid of ABC
Circumcentre of ABC
None

Best Coaching Institute to opt for when it comes to Test Series for CAT??

If the roots of the equation x^10 -1 = 0 are 1,a,b,c,....then what is the value of (1-a) (1-b) (1-c)....?

a) 0
b) 10
c) 9
d) 1

@pratskool @hexagon @placiddisciple

Pankaj has 6 friends and during a certain vacation he met them at several dinners. He found that he dined with all the 6 friends exactly for 1 day, with every 5 of his friends 2 days; with every 4 of them for 3 days;with every of them for 4 days; with every 2 of them for 5 days. Further , every friend was present at 8 dinners and every friend was absent at 8 dinners.


How many dinners did pankaj have during the vacation?
How many dinners did Pankaj have alone during the vacation?
When Pankaj had dinner with every 3 of them for 4 days and every 2 of them for 4 days and every 2 of them for 5 days, what was the minimum number of friends who had dinner twice in these 9 days??

Let N=3*5*7...99/2*4*6*...100

which of the following is true??

1/3
1/5
1/15
1/10

The length of a ladder exactly equals the height of a wall. If the ladder is placed on a 2 ft tall stool placed 10 ft away from the wall, then the tip of the ladder can just touch the top of the wall. The height of the wall is??

@ahsish9virgo



If x, y and z are eliminated from the equations x/y=a+1/a-1, y/z=b+1/b-1 and z/x=c+1/c-1, then which of the following is true regarding the relationnship etween a,b and c?

a+b+c=-1
abc=-1
ab+bc+ac=-1
a^2+b^2+c^2=-1


Solve

sum of the series 1 + 4/7 + 9/49 + 25/343....?