Official Quant thread for CAT 2013

how many different 7 digits numbers are there the sum of whose digits is odd?

a. 45.10^5
b. 24.10^5
c. 224320
d. NONE

😠

how many 6digit numbers contain exactly 4 different digits?


a. 4536
b. 294840
c. 191520
d. none

😠

How many 4 -digit numbers are there whose decimal notation contains not more than 2 distinct digits?


a. 672
b. 576
c. 360
d. 448

splat

2^2+22^2+222^2+2222^2+..............................+(22222222222.........98times)^2 remainder with 9 ?????

  • 4
  • 5
  • 3
  • 2

0 voters

The 150 contestants of Miss India 2010 are given individual numbers from 1 to 150. Several rounds happen before the final winner is selected. The elimination in each round follows an interesting pattern. In the 1st round starting from first contestant, every 3rd contestant is eliminated i.e. 1st, 4th, 7th, .... This repeats again from the first numbered (among the remaining) contestant in the next round (leaving 3, 5, 8, 9, ... ). This process is carried out repeatedly until there is only the winner left. What is the number of Miss India 2010?

answer is 140 .. but what is the approach for these kind of questions ..

A 9 digit number is divisible by both 73 and 137.Find sum of largest such number ?

  • none of these
  • 81
  • 74
  • 72

0 voters

What is the no. of pts with integer co-ordinates which satisfy the inequality |x|+|y|

a.85 b.61 c.48 d.36

Hey guys I'am using sarvesh k verma quantam cat for preparation. Its really vast,can you suggest how to go about practicing the questions. I mean is it necessary to do all levels lod 1,2,3 each question because i believe it will take a lot of time to complete the entire book and hence i won't able to complete the syllabus on time. Also I feel geometry and modern math is weak area for me how to work upon them from this book. Please answer I'am a bot confused regarding the preparation

@nicks099

What is the no. of pts with integer co-ordinates which satisfy the inequality |x|+|y|

a.85 b.61 c.48 d.36



Hi, you can also solve by the method i have shown in the attachment.

Find the Minimum Value of |X-1|+|X-2|+|x-3|+.........|x-100|

What is the minimum value of x^3 + y^3, if (x+1)^3 + (y+2)^3= 27 for where x, y are distinct positive real numbers?

Find the Minimum value of |X-2|+|X-5|+|X-8|+|X-10|+|X-12|

Consider a set S = (a,b,c) such that elements a,b,c are co-prime to each other and each element is a factor of 129600.How many pairs of (a,b.c) exist ?? ?

digital sum of a number is obtained by adding all digits of a number until a single digit is obtained .what is the digit sum of 4444^4444..


approach please

hey puyz, i m new to this thread , i wanna appaer for cat 2k13 .... , m a bit novice when it comes to quant ..i hope u guyz will help me out ...

a ten digit is said to be interesting if its digit are all distinct and is multiple of 11111. how many interesting integers are there?

a)10001 (b) 101 (C) 100001 (d) none of these..

What is the smallest 4 digit number which is expressible as a some of two cubes in two different ways...?
-@A
@ScareCrow28 @Dazed-Confused @Hell0_w0rld @hexagon @needabc

Q1

QuantExpert - Q.O.D

I m getting (b) 5

How many integer values of x and y are there such that 4x + 7y = 3, while l x l

  • 141
  • 144
  • 142
  • 143

0 voters

K is a three digit number such that ratio of the number to the sum of the digits id least.

The diff. between hundred and tens digit of K is 8 and diff. between tens and units digit is 0.

For how many values of K will the ratio be highest???

  • 8
  • 9
  • none of these
  • 7

0 voters