Official Quant thread for CAT 2013

In ΔABC, D is the midpoint of BC. E is a point on AC such that AE : EC = 2 : 1 and F is a point on AB such that AF : FB = 3 : 1. Line segments AD and FE intersect at point O. What is the ratio of the area of ΔDOF to the area of ΔDOE???????/

a 8 : 9

b 9 : 8

c 3 : 4

d 4 : 3

Sixty equally spaced line segments are drawn on a circular clock such that each line segment is a radius of the circle. If the minute hand and the hour hand of the clock overlap with one of these line segments at 12 Noon, then at what time during the next 12 hours will the minute hand overlap with the line segment which is immediately prior to the line segment with which the hour hand overlaps?

a 4 : 24 P.M.

b 2 : 12 P.M.

c 9 : 48 P.M.

d Cannot be determined

A and B start running simultaneously on a circular track from point O in the same direction. If the ratio of their speeds is 6 : 1 respectively, then how many times is A ahead of B by a quarter of the length of the track before they meet at O for the first time?

a)4

b)5

c)7

d)10

find the remainder when 12^107 is divided by 37?

  • 11
  • 3
  • 36
  • 34

0 voters

How many 3 digit numbers are present such that the digits from left to right are in descending order- e.g.- 987

P.S: I am simply posting the options, don't know the solution

  • 100
  • 200

0 voters

Hi does anyone have past NMAT papers....or mock papers for NMAT from CL or Time....

A dishonest seller claims to sell a product at its CP. He uses a counterfeit weight which is 20% less than real weight. Further he adds 20% impurity. Find profit%?



f(x)= x^6+cosx hat kind of function is this


Even
Odd
Not even nor odd
NOT

Find the circumradius of the triangle ABC, whose one of the side is 10 cm and the angle opposite that side is 60 degree?


can anyone provide me a question of the type wherein two tables are given . Suppose the tables are region wise sales of different brands of car....So, In I table break-up of cars w.r.t regions is given and in II table break-up of regions w.r.t cars is given.....


This type of question has appeared in CAT in previous years./..... but I am not able to find it...

Question on counting. Has a pic so posting as image.

Pl post approach.


Thanks

If the axes are rotated through 60 degree , find the XY-coordinates of the point

whose xy-coordinates are (2,6).

remainder when 2^133 is divided by 133?

  • 131
  • 2
  • 0
  • 128

0 voters

@c2c find r(2) first then find r(3) from it by applying pythagoras...just looks the figure closely 😃

In the X-Y plane, the area of the region bounded by the graph |x-2|+|y-1|

10 days into the CAT season.. Questions posted here are having very slow response.. :mg:


remainder when 2^1001/1001

Please fin ahead the attached question. The options are(Please share your approach as well )


-3
-1
0
1

find the area of a isosceles trapezium with AB||CD and AB=10 and CD=20.

P.S. i m posting this bkz i m looking for concept of isosceles trapezium and its area and stuff.
i don't have a OA either :D, plz discuss

37^230/100?