Official Quant thread for CAT 2013

If x + y = 4 where x and y are positive numbers, then the maximum possible value of 1/x + 1/y is

@jasneetdua @jp_1991 @burnett @jagdeep_ashu @anandmadhav Please see

Updated with second (PnC) approach - created mutually exclusive and exhaustive cases....

regards
scrabbler

There are 10 identical blocks of cuboid of dimension 2 inches ร— 3 inches ร— 5 inches. The blocks are kept one on top of the other in a random fashion to form a structure. How many structures with unique heights can be created using these blocks? (Neglect instability of the structure) NOTE: Two of the flat faces of each cube are parallel to the ground

Approach with answer will only be entertained ๐Ÿ˜


From a circular shhet of paper of radius a, a sector with a central angle is cut out and folded into the shape of a conical funnel .The volume of the conical funnel is maximum when 'theta' equals??

rt2*pi

pi/2
pi
2pi*rt(2/3)

๐Ÿ˜ 

if a+b+c=20 and (1/a+1/b+1/c)=30, then the value of a/b+b/c+a/c+c/a+b/c+c/b is


@placiddisciple @anandmadhav

If p,q,r are any positive real numbers and p+q+r=1, , then the minimum value of

(1/p - 1)(1/q - 1)(1/r - 1) is

10
24
25
None

If p,q,r,s are any 4 positive real numbers , then the minimum value of p/q+q/r+r/s+s/p is


1
2
2*rt2
4

There is a track on the outer boundary of a rectangular field ABCD (AB = 300m and BC = 200m). Initially Aman and Baman are at point A and B respectively. Both Aman and Baman start moving along the track in anti-clockwise manner at the same time with the same speed. If 'x' is the shortest possible distance between Aman and Baman at any instance then the minimum possible value of 'x' is (neglect the width of the track


if y=f(x)=(ax+b)/(cx-a), then which of the following is equal to f(y)?


x
2x
x/2
x^2

Sixteen consecutive natural numbers are to be filled into a 4 ร— 4 square matrix (as shown below) such that there is one number in each box of the matrix, not necessarily in any order. A few of these 16 numbers are already shown in the boxes. Remaining 12 numbers are denoted by 12 alphabets namely A, B, C, D, E, F, G, H, I, J, K and L. The numbers are filled in the boxes in such a way that the sum of the numbers in the boxes of any row, any column and any diagonal of the square matrix is the same. It is also known that D + E + I = 60
pfa

f(x)= ln[x+rt(x^2+1)] is


even function
odd function
neither even neither odd

@scrabbler sir. Please explain

0.01^x=2..pls explain in detail..the answer is -log2/l2

1,3,6,10,15 ........ 5151 . Find the average of 101 numbers ?


how many disctinct equilateral triangle can be formed in a regular nonagon having two of its vertices as the vertices of nonagon?

Q37

Find the no of three element sets of distinct positive integers (a,b,c) such that abc=210

How to approach such questions? In this particular one, I counted and luckily got the answer..Can anyone share a definite approach for such questions?


@jasneetdua bhai ATB fod k aiyo :thumbsup: fr aake discuss krna ๐Ÿ˜‰
@Harmeet89
Learn to draw 101 ! ๐Ÿ˜›

in how many ways four identical yellow balls and two identical red balls be arranged on te circumference of the circle ?

A and B sell pens at the same selling price. A calculates his profit percentage on his selling price, whereas B calculates his profit percentage on the cost price. Both of them found their calculated profit percentage to be 12.5%. If the difference of the profits earned by the two of them is เคฐ42.50, then the selling price of the pens is