Official Quant thread for CAT 2013

(6666....n digits)^2+ (88888........ n digits) ?
OA=(10^2n - 1)*4/9

explain soln

Pls help:

1. The equation 4x-Ay=B has a number of integral solutions. If HCF(A,4)=1, and the number of solutions (x,y) for 0
a) 3 b) 2 c)1 d) none of these

2. N=123123123.....300 digits. Find the remainder when N is divided by 504.
a) 35 b) 412 c) 1 d) none of these

3. For given pair (x,y) of positive integer, such that 3x-11y=1 and given that x can take maximum value of 1000, how many such pairs are possible?
a) 46 b) 71 c) 88 d) none of these

Is there any thread which deals with Logical Reasoning questions as I don't find enough of those questions here...?

If a-b varies directly with a+b,a^2-b^2 will vary directly with

a) a^2+b^2
b) ab
c)a^2+b^2+3ab
d)More than one of the above

A palindrome (a word which spells the same when seen from left to right or from right to left) is to be formed using the characters @, $ and #. How many such patterns of length 7 are possible?


A.6
B.243
C.81
D.2187


BC=2r is the diameter of a circle with AB as a tangent at point B and A-D-C. Find AC x CD = ?



  • r2/2
  • 4r2
  • Cannot be determined
  • r2/√3

0 voters

The index of the highest power of 3 that divides 101121314151617181920.............................6869.explain approchmg

The no. of solutions of a+b+c+d=20 .... where a>b ... Please explain the process.

PQR is a right-angled triangle as shown. The perpendicular PS meets RQ at S such that QS = 1cm. The point T lies on PQ and is 1 cm away from Q such that TQR =TRQ. Find the length of PT in cm


Post the steps..

  • 3^1/3 - 1
  • 3^1/3 + 1
  • 2^1/3 - 1
  • 2^1/3 + 1

0 voters

if a man saves rs. 1000 each year and invests at the end of the year at 5% compound interest, how much will be amount at the end of 15 years? pls explain the approach

@lella

Some ppl are standing at distinct pts on a circle,all facing towards the centre .Each possible pair who are not adjacent sing a three minute song,one pair after other.If the total time taken by all the pairs to finish singing is 1 hour,find the number of people standing on the circle



1) 8



2) 9



3) 10



4) 11 Skip


post sol plzzzz

Maximum no. Of squares possible that can be constructed using 31 pencils of equal length on the table ?

@lella

Some ppl are standing at distinct pts on a circle,all facing towards the centre .Each possible pair who are not adjacent sing a three minute song,one pair after other.If the total time taken by all the pairs to finish singing is 1 hour,find the number of people standing on the circle



1) 8



2) 9



3) 10



4) 11 Skip



60/3=20 = total no. of pairs
first person can make 5 pairs
second 5
third 4
fourth 3
fifth 2
sixth 1
5+5+4+3+2+1=20

Hi, kindly look at the three problems which are attached. @Dazed-Confused

if x and y are even integers then number of solutions of
x^2-y^2=7389746232

😠

A trader gives successive discounts of 25% and 15% on a marked price of 8000. He had to

give another discount of 2% of cost price on the current selling price and finally achieves a no

profit no loss. What is the cost price?

-@A

Six people have an average amounts of 40. If all are having distinct positive integral

amounts then what can be the second highest amount that any person can have...?
-@A

The HCF of three numbers a, b and c is 7. If their sum is 63 then find the number of

ordered triplets of a, b and c.
-@A

A right circular cylinder vessel having height 20 cm and inner diameter 10 cm is filled with

water upto 15 cm of its height as measured from the base. Find the angle by which the cylinder

needs to be tilted so that the water in the cylinder is just about to fall out...?
-@A

Sohan can work for three hours non-stop but then needs to rest for half an hour. His wife can work for two hours but rests for 15 min after that, while his son can work for 1 hour before resting for half an hour. If a work takes 50 man-hours to get completed, then approximately how long will it take for the three to complete the same? Assume all of them all equally skilled in their work. (a) 15 (b) 17 (c) 20 (d) 24