Official Quant thread for CAT 2013

@vbhvgupta said:
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?
is the q correct?
@Ani1308 said:
is the q correct?
yes, it is
@vbhvgupta said:
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?
20 days
@Ani1308 said:
20 days
explain?
@raopradeep said:
is OA 12?
Yes but how ? whats the approach ??
@vbhvgupta said:
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?
complete work done by 3 w and 2 m = in 16 days
let W & M be the work done per day by women andmen resp
make equation
(3W + 2M ) — 16 =( 14 W +6 M ) —5
it will give
1 M = 11 W
put it in second cond
80 W in 5 days
hence 20 W = 20 days

@vbhvgupta

@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?
If each child take double the time than Man then, 1 Man = 2 Child.( in terms of work done )
now 6 child + 2 men = 6 days. OR 3 Men + 2 Men = 6 Days
5 Men= 6 days !!

-- Ans --

K is a three digit number such that the ratio of the number to the sum of its digits is least ? What is the difference between the hundreds and the tens digit of K ?

a. 9
b. 8
c. 7
d. None of these.


OA - 8 !!!! Approach please. !!!!
@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
k =1^2 +2^2 +3^2....................m^2
k= m*(m+1)*(2m+1)/6
and k is divisible by 4
k =m*(m+1)*(2m+1)/24
putting m=1,2,3,4,5,6,7,8
we see 7 ,8 value satisfy the condtn and this trend goes on in every 8 numbers only 2 are satisfying the condtn
so m
m=6
so 6*2=12
12 values satisfy

2 women and 3 men complete the work in 4 days, While 3 women and 2 men complete the work in 5 days. rs 44 is given to woman for her contribution towards work per day. what is the amount received by man per day.
@vbhvgupta said:
2 women and 3 men complete the work in 4 days, While 3 women and 2 men complete the work in 5 days. rs 44 is given to woman for her contribution towards work per day. what is the amount received by man per day.
44*4 ?
@gs4890 said:
44*4 ?
oa 154

a took a work to complete the work in 40 days and he deployed 20 men for his work. 8 days before the scheduled time he realised that 1/3 of the work was still to be done. how many more men was reqrd to complete the work in stipulated time.

c and d joined a company on 1jan 1991 . c offered a salary of 3000 pm with an annual increment of 500 pm. d offered a salary of 2000 pm with a six monthly increment of 350 pm . if they continue work till 31st december2000 . what is the difference between c and d total earned money ?


@vbhvgupta said:
a took a work to complete the work in 40 days and he deployed 20 men for his work. 8 days before the scheduled time he realised that 1/3 of the work was still to be done. how many more men was reqrd to complete the work in stipulated time.
20*32/2*8 = 40

hence, 20 ?
@raopradeep 11300?

the sum if first n terms of an a.p is P . the sum of 2n terms is Q . if Q=(4/3)P. find the sum of the first 3n terms ?


@raopradeep said:
c and d joined a company on 1jan 1991 . c offered a salary of 3000 pm with an annual increment of 500 pm. d offered a salary of 2000 pm with a six monthly increment of 350 pm . if they continue work till 31st december . what is the difference between c and d total earned money ?
9900
@vbhvgupta hw?
@dreamboats said:
@vbhvgupta hw?
bro it shd be 9900