Official Quant thread for CAT 2013

A set of 28 religious books are kept side by side alphabetically. The width of each book according to its position is given by 2n+1 inches excluding the width of the front and the back page. The width of front and back end of each cover is same and equals 2 inches. A worm starts eating books from the front end of the 1st book to back end of the last book. How much does it eats away.

832

838

888

898

What is the highest possible value of 'n' for which 3^1024 -1 is divisible by 2n?

10,11,12,13

Arjun and Bheem are standing at point A on a circular track with circumference 300 m. Cherry is standing at point B which is diametrically opposite point A on the track. All three of them start running simultaneously on the track; Arjun and Cherry run in clockwise direction at 3 m/s and 4 m/s respectively while Bheem runs in anticlockwise direction at 5 m/s. After how much time from the start will Cherry be equidistant from Arjun and Bheem for the first time?
25
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60
PLease post your approach!!😠

if log(base a) (1/2 + 1/5 + 1/9 + 1/14.. infinite terms)^2 = 2.
find a.



A square inscribed in a circle, with another square sharing one edge with the first, with the other two vertices on the circle.

What is the ratio of the areas of the squares (bigger to smaller)?



in a 4 digit no wit distinct digits , d sum of its middle digits equals d sum of its extreme digits. d sum of d 2nd and 4th digit equals d 5 times d sum of d other 2 digits. if d sum of its digits is 18. wat s d sum of all the possible values of the hundreds digit?

options are 21,24,27,30

Some numbers can be expressed as the sum of three of their factors. E.g. 12 can be expressed as the sum of 2, 4 and 6. How many other such numbers are there which are less than 100?
2,7,15,16

One basic doubt.. (coordinate geom)
For qs where we have to find the points inside a close shape where we use the pick's theorem:
Area= I + B/2 -1
What to do when the points on the boundary(B) is odd???

if A n B are two points in x y plane sch tat A=(2,3) n B=(-8,6) and P is a point sch that angleAPB=90 and area of triangle APB=24 then how many sch points in P exist


explain pls ?


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Question:Santosh used 6 L of oil paint to paint a map of India of 6 m high. How many litres of paint would Santosh need for painting a proportionally scaled map of height 18 m?

a)54 b)18 c)30 d) 27 e)CBD


Question:Santosh used 6 L of oil paint to paint a map of India of 6 m high. How many litres of paint would Santosh need for painting a proportionally scaled map of height 18 m?

a)54 b)18 c)30 d) 27 e)CBd

Find the remainder when 11! + 9! is divided by 18 × 7! – 14 × 6!.

Can someone explain ....This is easy buy baffling me..
A camel pursues an elephant and takes 5 leaps for every 7 leaps of the elephant but 5 leaps of elephant are equal to 3 leaps of of camel .What is the ratio of speed of camel and elephant

find the remainder when 123456123456123456....upto 600 digits is divided by 999...can anyone plz tell me the approach with explanation?

Hello Puys, need one help.

In the following figure (attached), how would we find the number of shortest paths from :

1) H1 to H2
2) H2 to H3
3) H3 to O

If anyone can explain any one of the above, I will try to do the remaining ones on my own.
Thanks in advance ! 😃

@jasneetdua @sanjeetkumar @kedia501 @pratee @paperman @garry1337 🍻🍻🍻

hi puys...

can anyone pls explain the circled part in the solution...?? acoording to which theorem or concept is am = ab^2 / ad..??

In triangle ABC, AC = 450 and BC = 300. Points K and L are located on AC and AB respectively such that AK = CK, and CL is the angle bisector of angle C. Let P be the point of intersection of BK and CL, and let M be the point on line BK for which K is the midpoint of PM. If AM = 180, find LP.


I am having difficulty making the diagram of this question.Can someone post the correct diagram?

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a horticulturist always dvides his garden into identical squares and places posts on the corners of allthe squares .after this he plants one tree per square.if he chooses a rectangular garden and plants 36 trees in all, find the maximum number of trees he could have planted in the garden


Two sets A and B have elements 4 and 3 respectively. Find the number of functions from A to B which are not surjections ? Help please