Official Quant thread for CAT 2013

@sujamait said:
thanks,this link is betterwww.pdfunlock.com/Carpenter Rajesh has a circular piece of plywoodof diameter 30 feet. He has cut out two disks ofdiameter 20 feet and 10 feet. What is thediameter of the largest disk that can be cut outfrom the remaining portion of the plywood piece?(2 marks)(1) > 8.00 feet and ≤ 8.20 feet(2) > 8.21 feet and ≤ 8.40 feet(3) > 8.41 feet and ≤ 8.60 feet(4) > 8.61 feet and ≤ 8.80 feet(5) > 8.81 feet and ≤ 9.00 feet
> 8.41 feet and ≤ 8.60 feet?
@bullseyes said:
how did u deduce that it will be 550 just from finding out the ratios?? did u solved it all or any shortcut??


from ratios
suppose l=5 and b=3
total area =5*3=15........hence SP=15*1000(1+.1)=16500
then first big square area =3*3=9.....hence SP=9*1200=10800
second big square area =2*2=4.......hence SP=4*1150=4600
remaining rectangle area =1*2 =2......remaining SP=1100.....therefore SP per unit area=1100/2=550

@Torque024 said:
> 8.41 feet and ‰¤ 8.60 feet?
bro with approach.. I dont have OA..
@sujamait said:
sabka 550 hai toh yehi hoga! Yo!Ram prepares solutions of alcohol in wateraccording to customers €™ needs. This morningRam has prepared 27 litres of a 12% alcoholsolution and kept it ready in a 27 litre deliverycontainer to be shipped to the customer. Justbefore delivery, he finds out that the customerhad asked for 27 litres of 21% alcohol solution.To prepare what the customer wants, Ramreplaces a portion of 12% solution by 39%solution. How many litres of 12% solution arereplaced? (1 mark)(1) 5 (2) 9 (3) 10 (4) 12 (5) 15
9?
@sujamait said:
sabka 550 hai toh yehi hoga! Yo!Ram prepares solutions of alcohol in wateraccording to customers €™ needs. This morningRam has prepared 27 litres of a 12% alcoholsolution and kept it ready in a 27 litre deliverycontainer to be shipped to the customer. Justbefore delivery, he finds out that the customerhad asked for 27 litres of 21% alcohol solution.To prepare what the customer wants, Ramreplaces a portion of 12% solution by 39%solution. How many litres of 12% solution arereplaced? (1 mark)(1) 5 (2) 9 (3) 10 (4) 12 (5) 15
let x be removed
.12*27-.12*x+.39*x=.21*27
x=9?
@sujamait said:
sabka 550 hai toh yehi hoga! Yo!Ram prepares solutions of alcohol in wateraccording to customers €™ needs. This morningRam has prepared 27 litres of a 12% alcoholsolution and kept it ready in a 27 litre deliverycontainer to be shipped to the customer. Justbefore delivery, he finds out that the customerhad asked for 27 litres of 21% alcohol solution.To prepare what the customer wants, Ramreplaces a portion of 12% solution by 39%solution. How many litres of 12% solution arereplaced? (1 mark)(1) 5 (2) 9 (3) 10 (4) 12 (5) 15
9...

from the required 21, original is 12 (ie 9 away) and new is 39 (18 away) since 9 : 18 = 1 : 2 they have to be mixed as 2 : 1 i.e. in 27 litres, 18 of 12% should be retained and mixed with 9 of 39%

regards
scrabbler

@Torque024 said:
let x be removed .12*27-.12*x+.39*x=.27*27x=15?
alligations
12___________________39
___________21__________
18___________________9
and so the required answer i.e. 9
@19rsb said:
alligations12___________________39___________21__________18___________________9and so the required answer i.e. 9
.21 ki jagah .27 kar rekha tha, edit kr dia
@sujamait said:
A property dealer bought a rectangular piece ofland at 1000/sq. ft. The length of the plot is lessthan twice its breadth. Due to its size, there wereno buyers for the full plot. Hence he decided tosell it in smaller sized pieces as given below.The largest square from one end was sold at1200/sq. ft. From the remaining rectangle thelargest square was sold at 1150/sq. ft.Due to crash in the property prices, the dealerfound it difficult to make profit from the sale ofthe remaining part of the land. If the ratio of theperimeter of the remaining land to the perimeterof the original land is 3 : 8, at what price (in ) theremaining part of the land is to be sold such thatthe dealer makes an overall profit of 10%? (2marks)(1) 500/sq. ft. (2) 550/sq. ft.(3) 600/sq. ft. (4) 650/sq. ft.(5) None of the above.
let length = y and breadth = x

2x + 2y = 8

by 2nd statement we will get , x = 1.5
so , y = 2.5

CP of whole land = 3750
money received till now = 1.5^2 * 1200 + 1^2 * 1150 = 3850
let remaining would be sold at a price of X

3850 + X*.5*1 = 4125
=> X = 550
@sujamait said:
sabka 550 hai toh yehi hoga! Yo!Ram prepares solutions of alcohol in wateraccording to customers €™ needs. This morningRam has prepared 27 litres of a 12% alcoholsolution and kept it ready in a 27 litre deliverycontainer to be shipped to the customer. Justbefore delivery, he finds out that the customerhad asked for 27 litres of 21% alcohol solution.To prepare what the customer wants, Ramreplaces a portion of 12% solution by 39%solution. How many litres of 12% solution arereplaced? (1 mark)(1) 5 (2) 9 (3) 10 (4) 12 (5) 15
27*12/100 - x*12/100 + x*39/100 = 27*21/100
=> x = 9
@chillfactor said:
Yup, 4 solutionsa(n) denotes a n-digit positive number having all of its digits as 1. Find the greatest common divisor of a(45) and a(140).
HCF (45 , 140) = 5

so , answer will be 11111
@chillfactor said:
C(16, 6) or C(16, 10) is correct for the marks question (as explained by@Angadbir and @scrabbler )Let S be the set of proper three digit positive integers less than 1000. What is the minimum number of integers that must be chosen from S to ensure that there are at least two integers which have at least one digit in common?
111 , 222 , 333 ..... 999 = 9 numbers

any other number will satisfy condition hence 10 numbers
@sujamait said:
thanks,this link is betterwww.pdfunlock.com/Carpenter Rajesh has a circular piece of plywoodof diameter 30 feet. He has cut out two disks ofdiameter 20 feet and 10 feet. What is thediameter of the largest disk that can be cut outfrom the remaining portion of the plywood piece?(2 marks)(1) > 8.00 feet and ≤ 8.20 feet(2) > 8.21 feet and ≤ 8.40 feet(3) > 8.41 feet and ≤ 8.60 feet(4) > 8.61 feet and ≤ 8.80 feet(5) > 8.81 feet and ≤ 9.00 feet
c??
@lopagargg said:
c??
approach ??
@Brooklyn said:
approach ??
Solved it few days back.
@krum has given a nice explanation of this question.

http://www.pagalguy.com/forums/xat-snap-iift-and-others/xat-prep-group-t-90743/p-3616353/r-4163753?page=2
A medical practitioner has created different
potencies of a commonly used medicine by
dissolving tables in water and using the resultant
solution.
Potency 1 solution: When 1 tablet is dissolved in 50
ml, the entire 50 ml is equivalent to one dose.
Potency 2 solution: When 2 tablets are dissolved in
50 ml, the entire 50 ml of this solution is equivalent
to 2 doses,
… and so on.
This way he can give fractions of tablets based on
the intensity of infection and the age of the
patient.
For particular patient, he administers 10 ml of
potency 1, 15 ml of potency 2 and 30 ml of
potency 4. The dosage administered to the
patient is equivalent to (1 mark)
(1) > 2 and ≤ 3 tablets
(2) > 3 and ≤ 3.25 tablets
(3) > 3.25 and ≤ 3.5 tablets
(4) > 3.5 and ≤ 3.75 tablets
(5) > 3.75 and ≤ 4 tablets

@sujamait said:
A medical practitioner has created differentpotencies of a commonly used medicine bydissolving tables in water and using the resultantsolution.Potency 1 solution: When 1 tablet is dissolved in 50ml, the entire 50 ml is equivalent to one dose.Potency 2 solution: When 2 tablets are dissolved in50 ml, the entire 50 ml of this solution is equivalentto 2 doses,… and so on.This way he can give fractions of tablets based onthe intensity of infection and the age of thepatient.For particular patient, he administers 10 ml ofpotency 1, 15 ml of potency 2 and 30 ml ofpotency 4. The dosage administered to thepatient is equivalent to (1 mark)(1) > 2 and ≤ 3 tablets(2) > 3 and ≤ 3.25 tablets(3) > 3.25 and ≤ 3.5 tablets(4) > 3.5 and ≤ 3.75 tablets(5) > 3.75 and ≤ 4 tablets
1)?
@19rsb said:
1)?
nhn bhai 3.2 aa rha tha mera toh...option 2


City Bus Corporation runs two buses from
terminus A to terminus B, each bus making 5
round trips in a day. There are no stops in
between. These buses ply back and forth on the
same route at different but uniform speeds. Each
morning the buses start at 7 AM from the
respective terminuses. They meet for the first
time at a distance of 7 km from terminus A. Their
next meeting is at a distance of 4 km from
terminus B, while travelling in opposite
directions. Assuming that the time taken by the
buses at the terminuses is negligibly small, and
the cost of running a bus is 20 per km, find the
daily cost of running the buses (in ). (1 mark)
(1) 3200 (2) 4000 (3) 6400
(4) 6800 (5) None of the above


@sujamait said:
A medical practitioner has created differentpotencies of a commonly used medicine bydissolving tables in water and using the resultantsolution.Potency 1 solution: When 1 tablet is dissolved in 50ml, the entire 50 ml is equivalent to one dose.Potency 2 solution: When 2 tablets are dissolved in50 ml, the entire 50 ml of this solution is equivalentto 2 doses,… and so on.This way he can give fractions of tablets based onthe intensity of infection and the age of thepatient.For particular patient, he administers 10 ml ofpotency 1, 15 ml of potency 2 and 30 ml ofpotency 4. The dosage administered to thepatient is equivalent to (1 mark)(1) > 2 and ≤ 3 tablets(2) > 3 and ≤ 3.25 tablets(3) > 3.25 and ≤ 3.5 tablets(4) > 3.5 and ≤ 3.75 tablets(5) > 3.75 and ≤ 4 table


10 + 30 + 120 = 160

160/50 = 3.2

so , option 2
@sujamait said:
nhn bhai 3.2 aa rha tha mera toh...option 2


oh calc mistake......divided 160/55......instead of 50...(durghatna se der bhali)