Official Quant thread for CAT 2013

The shaded region in the diagram represents the relation ?


y
|y|
y
| y|

What will be the maximum value of (1/x) ^x ?


e
e^-1
e^1/e
e^-1/e

if |x| - | y| = 13 then which of the following values cannot be the value of x-y?


-18
-9
-17
NOT

hey guys.. a really interesting and hidden thing of CAT (normalisation)..poll on thatques. does raw marks in same slot gives same percentile,no matter of accuracy.. ??

  • NO
  • YES
  • CANT SAY
  • MAY BE

0 voters

A 'table set' consists of a 'table' and a 'table cloth'. For every 'table set', the price of its 'table cloth' is directly proportional to the price of the 'table'. The 'table cloths' of two 'table sets' A and B are exchanged. The ratio of the prices of the 'table set' A and 'table set' B before and after the exchange of the 'table cloths' are 5:1 and 4:1 respectively. If the price of 'table set' C is 8 times that of 'table set' D, then the ratio of the prices of 'table set' C and 'table set' D when their respective 'table cloths' are exchanged is (A 'table set' is identified by the 'table', and not by the 'table cloth')
a. 5:1
b. 17:3
c. 8:1
d. 7:1

210=abc, how many sets are possible for (a,b,c)

approach plz


2^(1/2), 3^(1/3), 4^(1/4), 6^(1/6), 12^(1/12). Which is maximum?

Two persons A and B started simultaneously in the same direction from a point P on a circular track of length 400 m. How far from P (when measured along the track) will they meet for the 17th time, given that the ratio of speeds of A and B is 9 : 7?

200 m

100 m

150 m

180 m

A and B are 20 km apart. They walk towards each other with a speed of 5 and 10 km/hr resp.
How far apart they are one minute before they meet? 😃

Options: 1/4 km, 1/5 km, 1/6 km, 1/12 km.


Easy or difficult...!

in each question study the graph given and choose the function of x that can best represent the graph from among the given choices


Defined below are few functions of x

f(x)= (|x-1)(|x|-2)
g(x)||-1|-2|-2
h(x)=||x|-1|-2
j(x)= (|x+1)(|x|-2)
k(x ) = |x-1|x -3|
l(x)= |||x|-2|-1

Attached question

f(x)
l(x)
j(x)
k(x)
NOT

The mean of 1,2,2sqaure......2 th power of 31 lies in between as

A.2^24 to 2^25
B.2^25 to 2^26
C.2^26 to 2^27 answer
D.2^29 to 2^30

I am always confused about this "odd factors" of a number. What does it actually mean? 😛
Can anyone please give me an example (like find odd factors of 21600)?

hey seniors and colleagues.. plzz give ur view here,it wud be useful for many of us...
which among them is a better b-school, which among them would u prefer?? MULTIPLE ANSWER ALLOWED

  • GIM(goa institute of mangement)
  • IMI,DELHI
  • AMITY,NOIDA
  • FORE SCHOOL,DELHI
  • LBSIM,DELHI
  • WELLINGKAR
  • KJ SOMAIYA

0 voters

a. √2-1
b.
√2+1
c. 1
d.
2√2-1
e. CBD

Which of the following statements about the functions
A(x, y, z) = x² + 3y² - 4xy - 2yz + 2zx
and B(x,y,z) = |x-|x-y|| + |y-|y-z|| + |z-|z-x||
is necessarily true?

(a) B(x,y,z)

(b) (B(x,y,z))^2 > A(x,y,z) for x > y > z > 0

(c) A(x,y,z) > -6

(d) None of the above
a simple approach to these types of problems plz

what is the remainder when 21^22 is divided by 125.. approach please???
(i)21 (ii)41 (iii)61 (iv)91

Let f(x,y) = 1 if |x - y| otherwise
Then g(y) = f(1/4,y)f(3/4,y) is maximized with respect to y if only if

(a) y = 1/2

(b) y >= 3/4

(c) 3/8

(d) none of the foregoing

(source PGDCM papers of IIM C)


The difference between the simple interest on a certain sum at the rate of 10% per annum for 2 years and compound interest which is compounded every 6 months is rs 124.05.what is the principal sum??

k is a 2 digit number whose units digit gives a remaninder 3 when divided by 4.when k is multiplied with 15625 a six digit number is generated.how many different values can k take?


please provide the solution