Official Quant thread for CAT 2013

Can anyone please explain equivalence relation in set theory with an example,unable to grasp the concept:(

The HCF of three natural numbers x, y and z is 13. If the sum of x, y and z is 117, then how many

ordered triplets (x, y, z) exist?

(a) 28 (b) 27 (c) 54 (d) 55

While walking along the railway tracks from VT to Thane, I observe that a train from VT to Thane overtakes me every 10 minutes and a train from Thane to VT passed me every 8 minutes. Trains start from Thane and VT terminals at the same regular frequency and run at the same speeds.


Q1. At what frequency (after how many minutes) do the trains start from the terminals

Q2. If a person is sitting in a train from Thane, with what frequency (after how any minutes) would a train from VT pass him?


Plzz share the approach as well

While walking along the railway tracks from VT to Thane, I observe that a train from VT to Thane overtakes me every 10 minutes and a train from Thane to VT passed me every 8 minutes. Trains start from Thane and VT terminals at the same regular frequency and run at the same speeds.

Q1. At what frequency (after how many minutes) do the trains start from the terminals

Q2. If a person is sitting in a train from Thane, with what frequency (after how any minutes) would a train from VT pass him?

There is a family comprising a mother along with 6 children - A,B,C,D,E, and F. Mother has to attend a party with any number of children, subject to following constraints:


* F goes, only if A and D go.


In how many different ways can the family attend the party?

if x+y+z=1/5 , then Find the maximum value of (x^2)y + (y^2)z + (z^2)x .

mujhe answer nahi pata hai (viewers discretion is adviced )

guys.. a questn..



hw many positive integer values cn a.b.c take fr abc=72?

No of ways of distributing 6 distinct objects into two groups with each getting 3 ,i have calculated this as 10(using group formula as given in total gadha forum) ,but in time soultion they have given it as 20 .pLease help

'A' and 'B' can complete a piece of work in 9 and 18 days respectively. They start working together , but 'A' leaves 3 days before completion of work. How long will the work last for? 👍

The number of distinct quadratic equations of the type Ax^2 + Bx + C=0 that can be formed when A,B and C are selected from {1,2,3,4,5,6}


a)216
b)198
c)181
d)120

Pls share approach

When Sunil will be as old as his father is at present, Sunil will be five times as old as his son is at present. Also, by then Sunil's son will be six years older than the age of Sunil at present. The sum of the ages of Sunil's father and Sunil is 85 years at present. What is the sum of the ages of Sunil's son and Sunil at present?

mg

Find the value of 'k', if the equations x^3 + kx^2 + x + 3=0 and x^3 +2x^2 + kx+2 have common root?


a)-2
b)3
c)2
d)either b or c

Pls share approach

Find all the values of a for which the roots of the equation (a-3)x^2 -2ax +5a=0 are positive


a) 3
b)0
c)a>6
d)-1

Pls share approach

P is the product of first 30 multiples of 30. N is the total number of factors of P. In how many ways N can be written as the product of two natural numbers such that the HCF of these two natural numbers is 19?

is narsee monji a gud college to thnk of for mba??

find the 33rd term of the sequence: 3,8,9,13,15,18,21,23...

pls explain in detail

applications for which all colleges (accepting cat score) are available?

hey puys,

i have been preparing for CAT for a few months now, and i have been doing this sincerely.
but my performance (accuracy i l say) in mocks is declining at a very fast rate now 😲
especially in quant, which i consider(ed) as something i am good at.
the thing is not that i m not able to solve, its that m not able to solve/solve correctly during those 70 minutes..!
only yesterday, i gave CL proc Mock 8, and got an super embarassing score. (18 in section 1, this had 7 questions wrong.. YES! even simple addition in the easiest DI sets ever went wrong!) i was literally in shock after i saw the score, total dhakka jise kehte hain..!
after spending next 15-20 minutes like this- 😐 . i thought go through the questions again, and c if i cud do the ones i left. but then i started doing all the questions, and surprisingly/shockingly i cud solve 16/20 questions of quant IN ONE GO! (i didn c solutions of any!)

This has happened before. and i have no idea what to do..
Senior Puys, please advice.. and is there anybody else going thru similar situation?
or m i the only silly one here? rolleyes

remainder when 2^32 is divided by 641?


anyone having TG's TSD pdf book...please share here.
👍