Official Quant thread for CAT 2013

@veertamizhan said:
@Ani1308 How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?
does the ques mean each contain exactly 2 vowel and 3 consonant?and what was ur ans for q 2
@Ani1308 I guess?
@veertamizhan said:
@Ani1308 How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?
60?
@Ani1308 kitab says 3600 :-|

yes its 3600 ..

no of ways of selec 2 vowels --- 3p2= 3
sim of consonants--- 5p3 --- 10
as the cond is of AND (depedent event) hence
total ways = 30
now the 5 letters can arrange themselves in 5! ways
so total = 120 — 30..
@Ani1308 one more - How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?

5!*4!

@Ani1308 kitab says 1440 - kaisa kiya?

vowel arr= 5! == let A

cons arr= 3! == let B
now A and B themselve can arrage in 2!
total ways== 5! —3! —2! =1440

ps--sorry i interpreted it wrong..and which buk r u following?
@Ani1308 wow, I had been doing 2(5!4!) all this while. I need to sleep.

QQ --- Define a number K such that, It is sum of squares of firrst M natural numbers( i.e. k = 1^2 + 2^2 + 3^2.... M^2); Where M

QQQ ----28383rd Term of the seres - 123456789101112... ?

According to Book Ans -- 3
I am getting - 7.
@ananyboss said:
QQ --- Define a number K such that, It is sum of squares of firrst M natural numbers( i.e. k = 1^2 + 2^2 + 3^2.... M^2); Where M
is OA 12?

@ananyboss said:
QQ --- Define a number K such that, It is sum of squares of firrst M natural numbers( i.e. k = 1^2 + 2^2 + 3^2.... M^2); Where M
is oa 12?

6 child and 2 men complete a certain work in 6 days. each child take twice the time taken by man to finish. in how many days will 5 men finish the same work?

6 days?

@vbhvgupta said:
6 child and 2 men complete a certain work in 6 days. each child take twice the time taken by man to finish. in how many days will 5 men finish the same work?
6 days?
@Ani1308 said:
6 days?
yar explain kar do?
3 women and 2 men complete 25% of certain work in 4 days. While 14 women and 6 men complete the work in 5 days.in how many days will 20 women will finish the same work?

its given that each child takes 2wice the time taken by men

So 2 child efficiency = 1 men eff.
so 6 child = 3 men..
now given that 6 child( whic is equal to 3 men) and 2 men take 6days
hence 5 men take 6 days..