Official Quant thread for CAT 2013

@iLoveTorres @Calvin4ever
I don't have the answer available with me hence asking for explanation.
@Exodia said:
@iLoveTorres@Calvin4everI don't have the answer available with me hence asking for explanation.
their is nothing tricky in the question.....!!
Just start solving according to the question
It's just a bit of calculation and all

take time as 50 hrs, 40 hrs ,20hrs for three tasks respcc.
now solve according to the question.....!!
@sameersapre23 said:
32 men
oa 68

Find the unit digit of the sum of the series


(1^4 )+ (2^4 )+(3^4 )+( 4^4)..........120^4

4
0
6
8
@vbhvgupta said:
oa 68
can you explain?
@sameersapre23 said:
Find the unit digit of the sum of the series(1^4 )+ (2^4 )+(3^4 )+( 4^4)..........120^44068
4 ??
@sameersapre23 said:
Find the unit digit of the sum of the series(1^4 )+ (2^4 )+(3^4 )+( 4^4)..........120^44068
6
Solution:
There is a repeat of of last digits after every 10th term. So all together there will be 12 sets.
=L((1+6+1+6+5+6+1+6+1+0)*12)
=L(33*12)
=6
@Calvin4ever said:
4 ??
its 6
@sameersapre23 said:
Find the unit digit of the sum of the series(1^4 )+ (2^4 )+(3^4 )+( 4^4)..........120^44068
OA 6
@Exodia said:
Mr. A is a computer programmer. He is assigned three jobs for which time is allotted in the ratio of 5:4:2 (jobs are needed to be done individually). But due to some technical snag, 10% of the time allotted for each job gets wasted. Thereafter, owing to the lack of interest, he invests only 40%, 30% and 20% of the hours of what was actually allotted to do the three jobs individually. Find how much percentage of the total time is the time invested by A.Options not available. Plz give answer alongwith explanation.
32.7%?
@sameersapre23 said:
its 6
mistake in addition !!
@sameersapre23 said:
Find the unit digit of the sum of the series(1^4 )+ (2^4 )+(3^4 )+( 4^4)..........120^44068
6?

1 + 6 + 1 + 6 + 5 + 6 + 1 + 6 + 1 + 0 = 6

X a point inside equilateral triangle ABC. Find the prob that angle AXB is obtuse. ?

@hardRacer ans is 48???
@The_Loser said:
X a point inside equilateral triangle ABC. Find the prob that angle AXB is obtuse. ?
EDIT
1/sqrt(3)


@Exodia said:
Mr. A is a computer programmer. He is assigned three jobs for which time is allotted in the ratio of 5:4:2 (jobs are needed to be done individually). But due to some technical snag, 10% of the time allotted for each job gets wasted. Thereafter, owing to the lack of interest, he invests only 40%, 30% and 20% of the hours of what was actually allotted to do the three jobs individually. Find how much percentage of the total time is the time invested by A.Options not available. Plz give answer alongwith explanation.
OA: 32.724
@iLoveTorres Can you explain a bit as all others have got 29.45 and I am getting that as well. Did you not consider the 10% of the time wasted?
@The_Loser said:
X a point inside equilateral triangle ABC. Find the prob that angle AXB is obtuse. ?
1/(root3) ??
@pankaj1988 said:
EDIT1/sqrt(3)
@Calvin4ever said:
1/(root3) ??
explanation?

Let the triangle be of side x. Place a point P on the median such that it makes 90deg with side AB. let the distance of AP = BP = y. Now area of APB would be 1/2 *y*y = (x^2)/4. (Pythogoras). Now probability = area of APB/ area of ABC = ((x^2)/4)/ (sqrt3 x^2/4) = 1/sqrt 3 !!! Hope this is rite 😛 😃

@sameersapre23 said:
Find the unit digit of the sum of the series(1^4 )+ (2^4 )+(3^4 )+( 4^4)..........120^44068
6