Official Quant thread for CAT 2013

solve this



On a circular track with center at O, A starts at a point P and runs in clockwise direction. At the same time B starts at Q and runs in anti-clockwise direction the angle POQ measured in the clockwise direction is 270 degree. The distance covered by B by the time he meets A for the first time is equal to is equal to the distance covered by A between the first and the second meetings. What fraction of the track length does A cover by the first meeting?

@gudda1122

A largest cylinder is cut from a solid cone of Radius R and height H.

find the ratio of the Volumes of the cylinder and remaining part of the cone...



My main question is how to start these questions i face huge difficulty whenever this cutting is done in the question



is there a defined 2 solve these kinds of question then kindly share it


Please see attached file. Hopefully have not made any mistake, it has been years since I have done differentiation!


regards

scrabbler

Please answer the following questions.. :)

1. A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much % above the cost price were his wares listed?
A. 100%
B. 80%
C. 75%
D. 66*2/3%

2. Please see the attached pic.

what is the remainder when 2009^2010 is divided by 2011?

When a natural number “p” is multiplied by 4, it gives a perfect cube and when it is multiplied by 9, it gives a perfect square. Find the minimum possible value of the expression p^2- 16p + 1.


Please post your approach too.

@jibi.abraham

2 answers 8



4 answers 6



4 answers 4



0 answers 9



×

TOTAL AMOUNT WITH BOYS:1050

AMOUNT WITH GIRLS:675

1050---675

1125--600

1075--650

1150--575

AMOUNT DOUBLE

Edited: Bill and Clinton take the square of a certain decimal number and express it in base 5 and 6 respectively. Then Bush comes and he takes the two representations and assuming that the expressions are in base 10, adds the numbers. Which number/s from 0 to 9 cannot be the value of the unit's digit of the sum obtained?


Share your approach too.

there are 5 envelopes and corresponding 5 letters . what is the probability that no single letter is placed in the right envelope ?

In a cookie jar, there are 6 chocolate chip cookies and 8 oatmeal cookies. Hungry Paddy takes out the cookies one at a time and proceeds to eat them. The probability that the 7th cookie that Paddy eats is a chocolate chip cookie is a/b, where a and b are positive coprime integers. What is the value of a+b?

if the integers m and n are chosen at random from 1 to 100 then probability that a number of the form 7^m+7^n is divisible by 5 is?

there are 25 points on a plane of which 7 are collinear . how many quadrilaterals can be formed from these points?

5706

2603

13015

42564

2654

AMS employs 8 professor on there staff .their respective probability of remaining in employment for 10 years are .2 .3 .4 .5 .6 .7 .8 .9.the probability that after 10 years atleast 6 of them still work in ams is ?

Let

θ=inverse sin 7/25

Consider the sequence of values defined by

a n=sin(nθ) (this means a of n = a down n)

They satisfy the recurrence relation

a n+2=k1 * an+1+k0 * an , where n belongs to natural no.

(this means a down n+2 = k down 1 * a down n+1 + k down 0 * a down n

for some (fixed) real numbers

k1,k0

The sum

k1+k0 can be written as p/q, where p and q are positive coprime integers. What is the value of p+q ?👍

prob of a wining a game is 2/5 and b is 3/5 . series will win by the person who wins 3 matches . find the prob. that a wins the series.(no draw)

Convex quadrilateral ABCD has sides AB=BC=21, CD=15 and AD=9. Given additionally that ∠ABC=60∘, what is the length of BD?

How many numbers from 1 to 1000 inclusive can be expressed as the sum of k≥2 consecutive positive integers for some value of k?


ABC is a triangle with circumcenter O, obtuse angle BAC and AB

The remainder when 28! is divided by 62 is ...guys plz help..

@newneo2791

The remainder when 28! is divided by 62 is ...guys plz help..



62 = 2*31


We find remainders individually by 2 and 31

28!Mod2 = 0


30!Mod31= -1 (Wilson's Thm)

30*29*28!Mod31 = 30

29*28!Mod31 = 1

(-2)28!Mod31 = 1 = 32

28!Mod31 = -16 = 15


So rem is of the form 2x = 31y + 15

Rem = 46