Official Quant thread for CAT 2013

@scrabbler @ankita14 guys could you help me with some concept in base conversion?

what will be the reminder when 34^31^304 is divided by 9?

remainder of 12^107 / 37 ?

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bhai @Shubh.i aaj koi session nhi hai kya.... @jasneetdua ,,,, @anandmadhav ,,, ;);)


Can anyone throw some light on how to use the Carmichael's Lambda function...

How many pairs of integers are there such that twice the sum of the integers is equal to their product?

4

3

2

more than 4

Shud it not be more than 4?? ans given is 4

At a wedding party, the ratio of people who ate kulfi to people who ate gulab jamuns was 1 : 2. If 240 people were at the wedding party, what is the maximum possible number of people who could have eaten both kulfi and gulab jamuns? Solution plz?


The value of (101/100)^100 is nearest to

3000

300

30

3

In how many ways can the letters of the word FAILURE be arranged so that the consonants may occupy only odd positions ?

In a rhombus of side x, one diagonal is half the other one. If the area of the rhombus is A, what is the side of the rhombus?

Lets start with an easy one 😉 @cristianokaka

In how many ways can a lawn tennis mixed double be made up from seven married couples if no husband and wife play in the same set ?


a+b+c+d=18.. number of ways with [1,6] range? @jasneetdua

Hey guys please check an awesome PDF on RC's wonderful explanation for each question high quality RC's. Just started solving indeed gives a shift in the way we look at Rc. Sorry for posting it here but t thought it will help all of us.


@Shubh.i @vipin011 @parul154 @ahsish9virgo @jasneetdua @ankurkhanna14 @anandmadhav Aapko logo please dekhiye is. A small way of saying thank you to all of you to always help out while in Quant crisis

In a trapezium, it was found that the sum of squares of the diagonals is less than the sum of square of sides by 144 cm2. If the shorter parallel side is 9 cm long, then find the length of longer side (in cms).


Please explain the approach. Thanks!
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Consider the set A=(1,2,3,....1000)..How many AP can be formed from the elements at A Stating with 1 and ending with 1000 with atleast 3 terms

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Tulasinath has one coin each, of the following denominations: 1 np, 2 np, 3 np, 5 np, 10 np, 20 np, 50 np, one rupee and two rupees. How many different amounts can he make by taking one or more of these coins at a time???

324

328

335

342

Given that 2^x^y + x^2^y = 3. What is the total number of integral solutions for the given equation?

Approach pls !

1)3
2)2
3)1
4)More than 3

How many three letter words can be using the letters of the word ORIENTAL ?

How many words can be formed from the letters of the word SERIES which start with S and end with S?

A biologist studying the genetic code is interested to know the number of possible arrangements of 12 molecules in a chain ? The chain contains 4 different molecules represented by the initials A (for Adenine) C for Cytosine G for Guan ad T for Thym and 3 molecules of each kind ? How many different arrangements are possible ?