Official Quant thread for CAT 2013

the greatest possible number of point of intersection of 8 straight lines and 4 circles is

options
a)32
b)64
c)76
d)104

approach please

the number of integral solution of mode(x)+mode(y)+mode(z)=15

options
a)902
b)728
c)734
d)904

approach please

How many four digit perfect square numbers are of the form abbb ?


A. 0 B. 1 C. 2 D. more than 2

A train is going from Mumbai to Poona and makes 5 stops on the way.3 persons enter the train during the journey with 3 different tickets.How many different sets of tickets they may have had?

What is the number of stations between these two cities in this question ?N.B-This is my doubt.
  • 4
  • 5
  • 3

0 voters

If a, b, c and d are four odd positive integers in non-decreasing order, such that (ab + cd) – (a + b + c + d) = 6, how many values are possible for c?



P.S: i am getting 4 solutions

currently i am in 4th yr. NMAT forms are out. I don't have much idea about NMIMS. Please share your views..😃

Ganesh and suresh are running along a circular track of length 300 m.If the speeds of ganesh and suresh are 6 and 12m/sec respectively.how many rounds more than ganesh will suresh complete in one hour??

  • 108
  • 144
  • 72
  • 36

0 voters

how many ways of selecting 5 nos. from 1 to 100 such that they form AP?

answer is 25C2*4...does anyone know the method..

find the sum of (1x1/5) + (1/5)x9 + (1/9)x13 +..............(1/221)x225

Find the remainder when 128^1000 is divided by 153 ? Mention the approach also.


Find the number of integral solutions of inequality ||5 - x| + |x + 2| + |x - 1||


A. 7 B. 8 C. 9 D. 10

A die has one in one side, two in two sides and three in three sides. This is cast for five times. What is the probability that the sum of the numbers is 10?


PS: No OA . So give explanations :)..



. grid of 529 cells is formed with 23 rows and 23 coloumns. each row forms an AP and each coloumn also forms an AP. if 7th and 17th term of 5th row are 47 and 63. and 7th and 17th term of 15th row are 53 and 77. find the sum of all numbers of grid

Find the remainder when 786786786....(657 digits) is divided by 23

.A. 0B. 4C. 8D. 19

Find the number of integral solutions of inequality ||5 - x| + |x + 2| + |x - 1||


In how ways can..?

A.) 12 persons seat themselves at 3 different round tables, 4 at each..??
B.) 12 persons be divided into 3 groups of 4 each..??

Options:

12!/4!^3 (12!*3!^3)/4!^3 12! non of these

If 5 letters are places in 5 addressed envelopes, the number of ways placing excatly 3 wrongly is..??


20 10 15 none


pls tell the solution also...

N = 5^(1!+ 2!+ 3!.....+ 12!+ 13!)

The digits of the number N are added to get another number. Then the digits of the number obtained

are added to get yet another number. The process is repeated till a single digit number is obtained.

What is that single digit number?
a) 7 b)6 c)5 d)8

Find the no. of four digit numbers for which the sum of left two digits is equal to the sum of the right two digits ?

what is the unit's digit of (6^28-3^22)

  • 6
  • 3
  • 7
  • 4

0 voters