Official Quant thread for CAT 2013

joey_sharma · February 13, 2013, 6:46am

@nole 50 natural numbers, ans=1276

iimaim · February 13, 2013, 6:54am

@ScareCrow28 said:
A diff of 36 years induced a diff of 3 years in Avg. Hence, there must have been 36/3=12 people in the original group. After replacing 56 with 2 persons of 32 each, a diff of 8 is induced.Hence, change = 8/13 in Avg

Assume Sum of ages S=96 Initially
N=12
A=8
When 56 year old is replaced by 20 year
S=60
N=12
A=5 (Decreased by 3)
when 56 year old is replaced by 2 people of 32 year old
S=104
N=13
A=8
It remained same so Change u have mentioned is wrong
and it is (12A+8)/13=(96+8)/13=8

scarecrow28 · February 13, 2013, 7:02am

@saurav205 said:
QA question ;

Is it 4) 1.07??

ilovetorres · February 13, 2013, 7:08am

@iLoveTorres said:
" Remove all the cards except aces and kings from a deck. From this, deal two cards to a friend. If she looks at her cards and announces (truthfully) that her hand contains an ace, what is the probability that both her cards are aces? If she announces instead that one of her cards is the ace of spades, what is the probability then that both her cards are aces? "

OA 1)3/11
2)3/7

scarecrow28 · February 13, 2013, 7:13am

@scrabbler Nice to see you Sir! 😃 __/\__

joey_sharma · February 13, 2013, 7:15am

@saurav205 is it d)1.0 ?

saurav205 · February 13, 2013, 7:22am

@saurav205 said:
QA question ;

OA : 1.07

jashholmes · February 13, 2013, 7:31am

@ScareCrow28 @IIMAIM @saurav205

The answer is cannot be determined!!!

saurav205 · February 13, 2013, 7:39am

@jashholmes said:
@ScareCrow28@IIMAIM @saurav205The answer is cannot be determined!!!

For the average age question??

Any explanation given??

iimaim · February 13, 2013, 7:40am

@saurav205 said:
For the average age question??Any explanation given??

A=S/N
A-3=(S-36)/N =) N=12
(S+8)/(N+1)=(12A+8)/13

maroof10 · February 13, 2013, 7:57am

The entrance ticket costs Rs 250.When the price of the ticket was lowered,sale of the ticket increased by 50% while collection recorded a decrease of 17.5% Find the deduction in the price

1> 150 2> 105 3> 112.5 4> 110

maroof10 · February 13, 2013, 8:03am

@jashholmes 8/13

maroof10 · February 13, 2013, 8:04am

@jashholmes 8/13

maroof10 · February 13, 2013, 8:04am

@jashholmes 8/13

ilovetorres · February 13, 2013, 8:06am

@maroof10 said:
The entrance ticket costs Rs 250.When the price of the ticket was lowered,sale of the ticket increased by 50% while collection recorded a decrease of 17.5% Find the deduction in the price1> 150 2> 105 3> 112.5 4> 110

ans 1?

maroof10 · February 13, 2013, 8:10am

@iLoveTorres No...its option 3 If u get it..then do explain it

sbharadwaj · February 13, 2013, 8:14am

@maroof10 said:
The entrance ticket costs Rs 250.When the price of the ticket was lowered,sale of the ticket increased by 50% while collection recorded a decrease of 17.5% Find the deduction in the price1> 150 2> 105 3> 112.5 4> 110

Option 3. 112.5

normal sales | new
X | 1.5X

250 X | (250 - a) X

(250 - a)X = 0.825(250 X). ( as it is given that 17.5% decrease)

Solve for a. It'll be option 3.!

saurav205 · February 13, 2013, 8:16am

@maroof10 said:
The entrance ticket costs Rs 250.When the price of the ticket was lowered,sale of the ticket increased by 50% while collection recorded a decrease of 17.5% Find the deduction in the price1> 150 2> 105 3> 112.5 4> 110

112.5??

mailtoankit · February 13, 2013, 8:16am

@maroof10 said:
The entrance ticket costs Rs 250.When the price of the ticket was lowered,sale of the ticket increased by 50% while collection recorded a decrease of 17.5% Find the deduction in the price1> 150 2> 105 3> 112.5 4> 110

let no. of tickets be n

revenue be y

let x be reduction in price

250*n = y....i

(250 - x)(1.5*n) = .825*y....ii

put value of y from i in ii

(250 - x)(1.5*n) = .825*(250*n)

x = 112.5 ?

joey_sharma · February 13, 2013, 8:16am

@maroof10 is it 2)105 ?