Official Quant thread for CAT 2013

@Arun_Subhash

ABC is right angled at B. Bigger Circle radius = 12. Smaller Circle Radius = 3. AB BC AC are all tangents. Find area of Triangle ABC. Refer to the attached Image for the Diagram.



1 answer 1) 420



1 answer 2) 620



1 answer 3) 1240



3 answers 4) 1344



@jasneetdua @Buck.up solution attached 😃

a train met with an accident 150 kms from its originating station. it completed the remaining journey at half of its usual speed and reached 1 hr late at the destination station. had the accident taken place 30 kms later, it would have been late by only half an hour. find the distance between the two stations.



if a+b+c=18 . find the number of set possible to condition abc is a three digit number .

approach please

find the sum of first 24 terms of an AP a1, a2, a3, a4........
if a1+a5+a10+a15+a24 = 225

  • 6000
  • none of these
  • 900
  • 450

0 voters

If A= tan6 tan 42 and B = cot66 cot 78 then (a) A = 2B (b) A=3B (c) A = B (d) 3A = 2B

A bike running at 80 km/h initially is slowed down to 60 km/h as soon as the fuel indicator touches the half level mark. It keeps running at this speed till it runs out of fuel, thereby covering a total distance of 640 km in 10 hours. If the bike consumes 2 litres of fuel per hour, what is the capacity (in litres) of the fuel tank of the bike?

a16

b20

c40

d32

If a lady walks to work and drives home, the trip takes one and a half hours. When she drives both ways, it takes half an hour. How long would it take her to walk the round trip?

  • 3
  • 3.5
  • 2
  • 2.5

0 voters

N = 51!+2!+3!+...+12!+13!

The digits of the number N are added to get another number. Then the digits of the number obtained are added to get yet another number. The process is repeated till a single digit number is obtained. What is that single digit number?


The equation |x-1| - |x-2| + |x-4| = m has n real solutions for some real m. Which of the following relations cannot be true ?

a) m=n

b) m/n = 3/5

c) m/n = 3/2

d) m+1 =n

e) m/n = 5/3

See the plot in the attached file.
@Combater @epicurean90 @scrabbler @Dexian @SatadeepBiswas @ronvinet @jaffa @Dazed-Confused @anytomdickandhary @placiddisciple
I get (C).
OA given is (B).

X is a set of first 1990 natural numbers. A is an AP having atleast 3 elements. First element is the least element of X and last element is the greatest element of X. How many possibilities does A have
@scrabbler

Shortest way to solve questions like x= 1/3-2root2. Find the value of x^3 -9x^2+19x-3. Answers not required. Share the approach/short tricks.

Number of integers n for which {(3n-5)/(n+1)}^(1/2) is also an integer ?

if A,B,C are in AP , Then e^(ax+k),e^(bx+K),e^(cx+k) are in

A dog is chasing a cat if the ratio of no of leap taken by dog to cat is 4:5 and if the 2 leap pf dog are equal to 3 leaps of cat ,find how many leaps of dog will it be able to catch cat if cat was 12 leaps ahead than dog

A number N = 5^x × y is the product of twenty consecutive three-digit numbers. If x and y are positive integers, what is the maximum possible value of x?

(a) 6

(b) 7

(c) 8

(d) None of these

Anyone here taking mocks of CL ? frnds m not able to take sectional test.

What is the smallest positive integer that can be expressed as the sum of eleven consecutive positive integers, the sum of twelve consecutive positive integers, and the sum of thirteen consecutive positive integers?

Puys those who are scoring above 60 marks in section -1 in AImcats could you please share ur strategy of attempting this section?

There is 1 square & 1 rectangle, square share its 25% area with rectangle and rectangle share its 50% area with square. What is the ratio of length and breadth of rectangle?


A frog in a well, 300 ft. deep, climbs the well in the following manner.

on first day, it climbs 1 feet, on second day ,it climbs 2 feet, on third, 3 feets and so on.But every night it slips half the distance that it climbed during the corresponding day.On which day will the frog climb out of the well ?

33rd

34th

35th

36th

Plese explain the approach also