Official Quant thread for CAT 2013

For the group of children playing in a room , the ratio of boys to girls was 4 : 3. After sometime
14 children went outside for playing and 4 girls entered in the room. The ratio of boys and girls now
becomes 3 : 2 . Which of the following could be total number of children in the room in the beginning.
a) 35 b) 42 c) 49 d) 63 e) 28
@Cat.Aspirant123 B ??
@shanu18 said:
@Cat.Aspirant123 B ??
try again
@tarun.g said:
A shopkeeper purchases a spirit at rs 60, adds some water & sells its Rs 75 per ltr. What is the ratio of spirit to water if his profit in d deal is 37.5%.?
Profit is 37.5% = 3/. So CP = 8/11 of SP = 8/11 of 75 which is actual amount of spirit out of 60.

Hence spirit is (8/11*75) / 60 = 10/11 of total which means 1/11 is water. Hence 10:1.

regards
scrabbler

@Cat.Aspirant123
Take original price => x.
Reduction in price => 0.54x.
=> Reduced Price
y=x - 0.54x = 0.46x

Now (560/0.46x)= (560/x) + 2

Solving => x = 328.7

we get y = 0.46x = 151.2


OA X=328.7, Y= 151.2
@Cat.Aspirant123 said:
The cost of oil suddenly dropped by 46%. Due to this, people were able to buy 2kgs more oil forRs. 560. Find both, the original and reduced rate of oil.a) Rs. 328.39, Rs. 151.39 b) Rs. 328.69, Rs. 151.19c) Rs. 328.86, Rs. 151.29 d) Rs. 328.86, Rs.151.19
option 2

560/.46x - 560 /x =2

x=328.69

new =.46*328.69=151.19
@Cat.Aspirant123 OA kya hai ????
@Cat.Aspirant123

Let original price = x.
Reduction in price = 0.54x.
Reduced Price =y =x - 0.54x = 0.46x

Now (560/0.46x)= (560/x) + 2
Solving ; x = 328.69
y = 0.46x = 151.2

@shanu18 said:
@Cat.Aspirant123 OA kya hai ????
a
@Cat.Aspirant123 said:
For the group of children playing in a room , the ratio of boys to girls was 4 : 3. After sometime14 children went outside for playing and 4 girls entered in the room. The ratio of boys and girls nowbecomes 3 : 2 . Which of the following could be total number of children in the room in the beginning.a) 35 b) 42 c) 49 d) 63 e) 28
35?

Logic: original number divisible by 7, after removing 10 people it is divisible by 5.

regards
scrabbler

@scrabbler said:
35?Logic: original number divisible by 7, after removing 10 people it is divisible by 5.regardsscrabbler
didnt got bro...what orignal num
@Cat.Aspirant123 said:
didnt got bro...what orignal num

Original number of children yaar....what the question is asking!

regards
scrabbler

@Cat.Aspirant123 bhai OA for ur qustn 1...reduced price of oil is (B)...!!!check again
@Cat.Aspirant123 said:
The cost of oil suddenly dropped by 46%. Due to this, people were able to buy 2kgs more oil forRs. 560. Find both, the original and reduced rate of oil.a) Rs. 328.39, Rs. 151.39 b) Rs. 328.69, Rs. 151.19c) Rs. 328.86, Rs. 151.29 d) Rs. 328.86, Rs.151.19
B?
@shanu18 said:
@Cat.Aspirant123 bhai OA for ur qustn 1...reduced price of oil is (B)...!!!check again
option 2
560/.46x - 560 /x =2
x=328.69
new =.46*328.69=151.19
@Cat.Aspirant123 dude check again i knw tht B is d ans...sabse pehle tag kiya tha solution me
Suzie covers 700 kms in 9 hours out of which she covers 300 kms by bus and remaining by car.
She takes 20 mins more if she covers 500 kms by bus and remaining by car. Find the ratio of the
speeds of bus and car.
@Cat.Aspirant123 said:
The cost of oil suddenly dropped by 46%. Due to this, people were able to buy 2kgs more oil forRs. 560. Find both, the original and reduced rate of oil.a) Rs. 328.39, Rs. 151.39 b) Rs. 328.69, Rs. 151.19c) Rs. 328.86, Rs. 151.29 d) Rs. 328.86, Rs.151.19
Well, what can I say, it is odd but how is the reduced price (0.46x)

Earlier price = P
Reduced price = P*( 1 - 0.46) = 0.54*P ?

:| ?

I can see that If I assume Reduced price = 0.46P , I will get the answer 😐 , but it seems wrong to me :|
In a row there are 4 chairs. In how many ways can Avani sit such that she is always seated to the
right of Shreyash?
a) 6 b) 12 c) 10 d) 14 e) 16
@Cat.Aspirant123 said:
In a row there are 4 chairs. In how many ways can Avani sit such that she is always seated to theright of Shreyash?a) 6 b) 12 c) 10 d) 14 e) 16
Total ways in which they can sit is 4!, but out of those, we select only those where A seats to the right of S => 4!/2! = 24/2 = 12