Official Quant thread for CAT 2013

@rkshtsurana said:
In a set of 7 positive distinct numbers, both mean and median is 30. Find the largest no. this set can contain ?
111???
@rkshtsurana said:
In a set of 7 positive distinct numbers, both mean and median is 30. Find the largest no. this set can contain ?
210-(1+2+3+30+31+32)
=>111
@rkshtsurana said:
In a set of 7 positive distinct numbers, both mean and median is 30. Find the largest no. this set can contain ?
111

EDITED

@rkshtsurana said:
In a set of 7 positive distinct numbers, both mean and median is 30. Find the largest no. this set can contain ?
59
?
@catter2011
@angel.mehra 111
@angel.mehra said:
59?
caught by the same logic fst
If f(x)=2x/(2x+1) and f(g(x+1))=2/(f(x+1)+2) then find g(x)
@krum said:
If f(x)=2x/(2x+1) and f(g(x+1))=2/(f(x+1)+2) then find g(x)
-(2x+1)/2x ? options pls
@krum said:
If f(x)=2x/(2x+1) and f(g(x+1))=2/(f(x+1)+2) then find g(x)
abhi dekha :mg:

g(x)=(2x+1)/2x
@catter2011 said:
If 'horse is black' is coded as %@$, 'horse in field' is coded as #%& and 'black board field' is coded as $&*, then what is the code for 'board is black'?A) *@$ (B) $*% (C) &@$ (D) #%& (E) None of these
A
@rkshtsurana said:
In a set of 7 positive distinct numbers, both mean and median is 30. Find the largest no. this set can contain ?
69 ?

edit - 111 :banghead:
@krum said:
If f(x)=2x/(2x+1) and f(g(x+1))=2/(f(x+1)+2) then find g(x)
g(x) = (2x+1)/2x
How many pair of letters in the word AMERICA have exactly the same number of letters as in the English alphabets?
(A) Zero (B) One (C) Two (D) Three (E) None of these
@catter2011 said:
-(2x+1)/2x ? options pls
just (2x+1)/2x
@krum said:
If f(x)=2x/(2x+1) and f(g(x+1))=2/(f(x+1)+2) then find g(x)
2x+1/2x
@catter2011 said:
How many pair of letters in the word AMERICA have exactly the same number of letters as in the English alphabets?(A) Zero (B) One (C) Two (D) Three (E) None of these
makes no sense
@krum said:
makes no sense
same here.. but get some thing
@krum said:
If f(x)=2x/(2x+1) and f(g(x+1))=2/(f(x+1)+2) then find g(x)
(2x+1)/2x
Four of the five numbers given below all alike in a certain way so form a group. Which is one that does not belong to group?
(A) 47 (B) 73 (C) 89 (D) 151 (E) 209
@catter2011 said:
How many pair of letters in the word AMERICA have exactly the same number of letters as in the English alphabets?(A) Zero (B) One (C) Two (D) Three (E) None of these
take this -
How many pair of letters in the word AMERICA have exactly the same number of letters in between as in the English alphabets?

E R I C A - 3 in between , in eng. E D C B A , same

so just 1

Consider three positive integers x,y,z. now 1/x + 1/y =1/z. Find the number of solutions if x=12?

a) 7 b) 11 c)12 d)infinite.

if anna and akka had to take some medicines, one of them can take more than 100 medicines, also one of them should take atleast 150% and atmost 250 % of the other. Find the maximum number of medicines taken by both combined.
a)247 b) 346 ) 347 d) none of these

Consider a rectangle (0,0), (2,0),(2,1),(0,1). Now what is the probability that a point is chosen in the rectangle such that the point is more closer origin than (3,1).?