Official Quant thread for CAT 2013

@heylady
@heylady said:
I used the result when the interest is compounded at every moment, then A=Pe^rtr=R/100 and t is time in years...
why did you subtract 8?
@VJ12 said:
@heylady why did you subtract 8?
for the case when interest is compounded annually. The question is mentioning the excess or deficit of the interest.
@silentstriker said:
In a colony, there are 350 residents. The number of residents who smoke cigar, hookah and cigarette as a percentage of the total number of residents is at least 40%, at least 30% and at least 22% respectively.a) If 50% of the residents do not smoke, then at most how many residents smoke exactly one of cigar, cigarette and hookah?a) 70 b) 175 c) 98 d) 91b) If p is the number of residents smoking all the three, thena) 28 b) 0 c) 0 d) 0
is it b and d?
@rnishant231 said:
LCM(180,195) = 1560 secs = 26 minsin 26 mins , no. of 50m rounds = 13 = 650 min 650 m no. of crossings + meeting = (650-50)/50 = 12 (-50 bcoz , in first round they wont meet or cross)in next 350 m , they ll cross each other for 7 timesOA = 12 + 7 = 19 ?
Nice solution bhai but I couldn't get this part -
50 m no. of crossings + meeting = (650-50)/50 = 12 (-50 bcoz , in first round they wont meet or cross)

I couldn't get this logic. why are you assuming that they will meet in every 50 meters ? please explain this sir

@Asfakul said:
Nice solution bhai but I couldn't get this part -50 m no. of crossings + meeting = (650-50)/50 = 12 (-50 bcoz , in first round they wont meet or cross)I couldn't get this logic. why are you assuming that they will meet in every 50 meters ? please explain this sir
looking from faster person perspective , in the first roundtrip(first 50m) they wont meet each other.
only when the faster person returns for second 50m , they will meet for the first time. so deducted 50.

they will meet every 50 m once..had speed of one been twice(or more than twice) of other , there was a chance of faster person crossing slower one twice in one roundtrip

Average age of 38 students is 14 years. If the age of the teacher is included, the average becomes 14 years and 4 months. Then Teacher's age is ???

@Subhashdec2 bhai 30 aur 40 equations mein kahan se aaye...moreover..answer is 107
@Loose said:
Average age of 38 students is 14 years. If the age of the teacher is included, the average becomes 14 years and 4 months. Then Teacher's age is ???
14 + 39*4/12 = 27
@Loose said:
Average age of 38 students is 14 years. If the age of the teacher is included, the average becomes 14 years and 4 months. Then Teacher's age is ???
Age of teacher = 27 years.

Which is the better book between Arun Sharma and Quantum Cat for QA ?


@Loose said:
Average age of 38 students is 14 years. If the age of the teacher is included, the average becomes 14 years and 4 months. Then Teacher's age is ???
(38*14 + x)/39 = 14 1/3 (14.33)
532 + x = 14.33*39
x = 26.87 ~ 27
@wizard_90 said:
Which is the better book between Arun Sharma and Quantum Cat for QA ?
Wrong thread. . My take will be Quantum CAT. ask it in Prep resources thread.

If p^q is a perfect square as well as a perfect cube , where p and q are natural numbers, then q must be a multiple of
a. 2

b. 3
c. 6
d. 9
e. cannot be determined
@Gsathe89 said:
If p^q is a perfect square as well as a perfect cube , where p and q are natural numbers, then q must be a multiple ofa. 2b. 3c. 6d. 9e. cannot be determined
6
@Gsathe89 said:
If p^q is a perfect square as well as a perfect cube , where p and q are natural numbers, then q must be a multiple of
a. 2
b. 3
c. 6
d. 9
e. cannot be determined
c) 6.
@Gsathe89 said:
If p^q is a perfect square as well as a perfect cube , where p and q are natural numbers, then q must be a multiple ofa. 2b. 3c. 6d. 9e. cannot be determined
c
@silentstriker said:
In a colony, there are 350 residents. The number of residents who smoke cigar, hookah and cigarette as a percentage of the total number of residents is at least 40%, at least 30% and at least 22% respectively.a) If 50% of the residents do not smoke, then at most how many residents smoke exactly one of cigar, cigarette and hookah?a) 70 b) 175 c) 98 d) 91b) If p is the number of residents smoking all the three, thena) 28 b) 0 c) 0 d) 0
The answers are (a) and (d) respectively.

no ans is last option cannot be determined 😞

@Gsathe89 said:
If p^q is a perfect square as well as a perfect cube , where p and q are natural numbers, then q must be a multiple of
a. 2
b. 3
c. 6
d. 9
e. cannot be determined
6
@Dexian said:
6
if p^q is a perfect square and perfect cube it can be represented atleast two ways in the form of p^q . then how will we know what is q?
answer should be e) CBD