Official Quant thread for CAT 2013

In ΔABC, AB = 16 cm and AC = 9 cm. What is the length of the perpendicular drawn from the vertex A to the side BC if the circumradius of the triangle is 9 cm?

  • 10
  • Cannot be determined
  • 15
  • 12
  • 8

0 voters

a nd b are grouped and filling a tank in 15min nd 20 min ,after 4 min a is turned off ,in how many min can b fill the tank remaining tank

  • 27
  • 20

0 voters

a nd b are grouped nd fillng a tank in 15min nd 20 min ,after 4 min a is turned off .in how many min can b fill the tank remaning tank


let XR be Z. so RY = 21-Z
10^2-Z^2 = 17^2 - (21-Z)^2
Z = 6
PR = 8
PQ = 16
@gauravkr2288
@amitnitie

a man decides to distribute his savings in the following manner----
if a boy is born his wife will get 1/3rd and rest to the boy

if a girl is born his wife will get 2/3rd and rest to the girl.
what will be the share of the girl when she is born along with a twin boy?...i.e jab twins paida hote hain to unme se girl ka kya share hai?


a nd b wrk for 7 days together and a left ,a wrks twice of b. In hw many dys will b complete the work?

2x+3y=650... how many values can x and y take?????????????

@ayushbhalotia
nw c dis..!!

AB, BC AND CD ARE EQUAL, FIND ANGLE ECA

Find the remainder when 112123123412345...12345678 is divided by 36 ?

How many numbers between 1 and 1000 are there such that n^2 + 3n + 5 is divisible by 121?

Hi,

I have attached a question from Time's AIMCAT,

Can anyone please check if the answer should be 27 instead of 24 as mentioned by time,

Please post your solution, so that we can discuss,



PS- Please try and refrain from using relative speed approach

Thanks


vinay went up an ascending escalator from the ground floor to the first floor in 24 seconds. had the escalator been stationary, he would have taken 54 seconds. Vinay's speed is v and that of the escalator is e, then what can be concluded regarding v and e?
A. v>66.66%of e
B. v>87.5% of e
C. eD. None of these

there are 80 ballsout of which 1 is defective. in how many minimum weighings can we detect the defective one????
answer is 5 ....explain your logic

find the last two digits of 15X37X63X51X97X17?

If N is Natural number, N has 4 factors, and summation of factors excluding N is 31, how many values for N are possible?

Three persons A, B and C start travelling from city P at 4:00 a.m., 5:00 a.m. and 6:00 a.m. respectively. All the three reach the point Q simultaneously and continue beyond that point. C reaches the point R first and turns back immediately towards P. Thirty minutes after turning back, he crosses A.


If the distance between P and Q is equal to the distance between Q and R, then the time at which all the three reach Q is

Pls Answer only if you know the proper approach for the Set n ven problem.Thaknsmgmgmg

In a school , 60% of the students passed in English and 25 % of the students who passed in English passed in foreign Language also,Whereas 662/3 of the students who passed in the foreign language failed in English.20 students failed in both English and the foreign language.

A)What is the total strength of the school ? -Ans : 200
B)What percentage of the students passed in exactly one of the 2 subjects? - Ans 75%
C)The failed students exactly in one subject are allowed to take re exam n it was found that the number of students who passed in both the subjects increased by 20% then what is the least value for the percentage of students in the school who pass only in English? -Ans : 42%
D)All the students who failed in one or more subjects are given grace marks and it was found that the number of students passing exactly in one subject went up by 4 n the number of students who failed in both the subjects dropped by 40% then what percentage of the school now pass in both ?-Ans -17 %

Two trains enter a tunnel from opposite ends simultaneously. The speeds of the trains are 54 kmph and 72 kmph. After 30 seconds, the trains completely cross each other. After 20 more seconds, the slower train is just out of the tunnel.


If the trains had travelled on the same track, they would have collided in 10 seconds. Find the length of the slower train.

giv approach too..


A square paper sheet is folded 4 times to get the maximum no of triangles when the paper is unfolded. triangles are formed by the lines which are formed due to the foldings of the paper . Find the number of ways of putting 19 identical balls in those triangles which do not contain any other triangle in such a way that each triangle should contain at least one ball but no triangle contains exactly 3 balls.
a)16! b)576 c)1632 d)720

pls explain the aproach.