Official Quant thread for CAT 2013

maddy2807 · November 15, 2012, 7:05pm

AGAIN...

A straight line through point P of a triangle PQR intersects the side QR at the point S and the circumcircle of the triangle PQR at the point T. If S is not the centre of the circumcircle, then which of the following is true?
A. (1/PS) + (1/ST) B. (1/PS) + (1/ST) c. (1/PS) + (1/ST) >1/rt((QS)(QR))
D. (1/PS) + (1/ST) >4/QR
E. SAB BAKWAS HAI

lopagargg · November 15, 2012, 7:09pm

@mailtoankit said:
D?

@Torque024 said:
sqrt(66)/3? none

d it is.._/H=-+ 2

maddy2807 · November 15, 2012, 7:10pm

YEAH THODA HARD HAI.

gs4890 · November 15, 2012, 7:12pm

@maddy2807 said:
AGAIN...@soumitrabengeriA straight line through point P of a triangle PQR intersects the side QR at the point S and the circumcircle of the triangle PQR at the point T. If S is not the centre of the circumcircle, then which of the following is true?A. (1/PS) + (1/ST) B. (1/PS) + (1/ST) c. (1/PS) + (1/ST) >1/rt((QS)(QR))D. (1/PS) + (1/ST) >4/QRE. SAB BAKWAS HAI

For now - E :P

solving though .....

mailtoankit · November 15, 2012, 7:13pm

@maddy2807 said:
AGAIN...@soumitrabengeriA straight line through point P of a triangle PQR intersects the side QR at the point S and the circumcircle of the triangle PQR at the point T. If S is not the centre of the circumcircle, then which of the following is true?A. (1/PS) + (1/ST) B. (1/PS) + (1/ST) c. (1/PS) + (1/ST) >1/rt((QS)(QR))D. (1/PS) + (1/ST) >4/QRE. SAB BAKWAS HAI

bhai mera ans to option E hai..

lopagargg · November 15, 2012, 7:13pm

A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. The distance of the pole from one of the gates is:

A. 8 metres
B. 8.25 metres
C. 5 metres
D. None of the above

mailtoankit · November 15, 2012, 7:17pm

@lopagargg said:
A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. The distance of the pole from one of the gates is:A. 8 metresB. 8.25 metresC. 5 metresD. None of the above

5??

torque024 · November 15, 2012, 7:17pm

@lopagargg said:
A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. The distance of the pole from one of the gates is:A. 8 metresB. 8.25 metresC. 5 metresD. None of the above

c) 5 MTRS?

psub · November 15, 2012, 7:19pm

@lopagargg said:
A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. The distance of the pole from one of the gates is:A. 8 metresB. 8.25 metresC. 5 metresD. None of the above

5?

rachit_28 · November 15, 2012, 7:20pm

@lopagargg said:
A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. The distance of the pole from one of the gates is:A. 8 metresB. 8.25 metresC. 5 metresD. None of the above

C. 5 ?

pankaj1988 · November 15, 2012, 7:20pm

@maddy2807 said:
AGAIN...@soumitrabengeriA straight line through point P of a triangle PQR intersects the side QR at the point S and the circumcircle of the triangle PQR at the point T. If S is not the centre of the circumcircle, then which of the following is true?A. (1/PS) + (1/ST) B. (1/PS) + (1/ST) c. (1/PS) + (1/ST) >1/rt((QS)(QR))D. (1/PS) + (1/ST) >4/QRE. SAB BAKWAS HAI

B?...took a rt. angle triangle...of base 1 and side 1 and solved ...

lopagargg · November 15, 2012, 7:21pm

@mailtoankit @PSub @Torque024 yup..5

The mean salary in ICM LTD. was Rs. 1500, and the standard deviation was Rs. 400. A year later each employee got a Rs. 100 raise. After another year each employee창€˜s salary (including the above mentioned raise) was increased by 20%. The standard deviation of the current salary is:
A. 460
B. 480
C. 580
D. None of the above

grkkrg · November 15, 2012, 7:21pm

@lopagargg said:
A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. The distance of the pole from one of the gates is:A. 8 metresB. 8.25 metresC. 5 metresD. None of the above

C. 5

13^2 = 12^2 + 5^2
7 = 12 - 5

maddy2807 · November 15, 2012, 7:21pm

OA is 4 bhai logoďťż

WE know that
PS*ST= QS*SR
AM>= GM
(1/PS+1/ST)/2 >= 1/rt(PS*ST)
1/PS + 1/ST >= 2/rt(PS*ST)
1/PS + 1/ST >= 2/rt(QS*SR)
Again, (QS + SR)/2 >= rt(QS*SR)
QR/2 >= rt(QS*SR)
therefore,
1/PS + 1/ST > 2/(QR/2) (coz as S is not the center)
1/PS+1/ST >4/QR

maddy2807 · November 15, 2012, 7:22pm

AGAIN...

In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?
A. 45 boys
B. 48 boys
C. 40 boys
D. 42 boys

maddy2807 · November 15, 2012, 7:24pm

Now this is easier and u shud do it without any prob

deedeedudu · November 15, 2012, 7:24pm

@lopagargg said:
A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. The distance of the pole from one of the gates is:A. 8 metresB. 8.25 metresC. 5 metresD. None of the above

5 ms

grkkrg · November 15, 2012, 7:26pm

@lopagargg said:
@mailtoankit@PSub @Torque024 yup..5 The mean salary in ICM LTD. was Rs. 1500, and the standard deviation was Rs. 400. A year later each employee got a Rs. 100 raise. After another year each employee €˜s salary (including the above mentioned raise) was increased by 20%. The standard deviation of the current salary is:A. 460B. 480C. 580D. None of the above

B?

std. dev. = root of mean of squares of deviations
The deviations change a factor of 1.2

So new std.dev. = 480

maddy2807 · November 15, 2012, 7:26pm

@lopagargg said:
A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. The distance of the pole from one of the gates is:A. 8 metresB. 8.25 metresC. 5 metresD. None of the above

5 m

pythagoras triplets (5,12,13)

deedeedudu · November 15, 2012, 7:27pm

@maddy2807 said:
AGAIN...In Bilaspur village, 12 men and 18 boys completed construction of a primary health centre in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village also decided to construct a primary health centre in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day? A. 45 boys B. 48 boys C. 40 boys D. 42 boys

42