Official Quant thread for CAT 2013

Hey ppl a small doubt !

What is a^b^c^d equivalent to ?
a^(b^(c^d))
OR
((a^b)^c)^d

In the attached figure ABC is an equilateral triangle inscribing a square of maximum possible area . Again in the square there is an equilateral triangle ,whose side is same as that of square ,further a smaller equilateral triangle inscribes a square of maximum possible area ,what is the area of the innermost square if each side of the outermost triangle is 0.01m.

rolleyesrolleyes

A Blacksmith has a rectangular sheet of iron ,He has to make a

cylindrical vessel

with both ends closed ,when he minimizes the the wastage of the sheet of iron then what is the ratio of wastage to the utilized area of the sheet..?rolleyesrolleyesrolleyesrolleyes

Barun needs an open box of capacity 864m3 ,actually where he lives the rates of paints are soaring high so he wants to minimize the surface area of the box keeping the capacity of box same as required ,what is the base area and the height of the box..?rolleyesrolleyesrolleyes

how many pairs have their lcm is 20 but hcf is not 4?

@DamselKrutti for the previous question figuree ...

@DamselKrutti

In the attached figure

ABC is an equilateral triangle

inscribing a

square

of

maximum possible

area . Again in the

square

there is an

equilateral triangle

,

whose side is same as that of square

,further a smaller equilateral triangle inscribes

a square of maximum possible area

,what is the

area of the innermost square

if each side of the

outermost triangle is 0.01m

.
I have tried explaining it with a diagram. Hope it helps.

Find the number of 4 digit numbers which are divisible by 11 or 13 but not by 17?

  • 1455
  • 1133
  • 1363
  • 1463
  • 1123

0 voters

Ram and Sham are in a horse race with 6 contestants. How many different arrangements of finishes are there if Sham always finishes before Ram and if all of the horses finish the race?
(a) 720 (b) 360 (c) 120 (d) 24

Consider a cylinder of height h and radius r=4/pi cm as shown in the attached figure . a string of certain length when wound on its cylindrical surface , starting at point A , gives a maximum of n turns.

Q1-what is the vertical spacing between two consecutive turns?
Q2-if there is no spacing between any two consecutive and the width of the string be x cm,then the required length of the string is..?
Q3-if the string is wound on exterior four walls of a cube of side a cm starting at point c and ending exactly at d , above c making equally spaced 4 turns.the side of the cube is..?
please post the approaches to these types of questions....rolleyesrolleyesrolleyesrolleyesrolleyes

The sum of five consecutive numbers is 270. What is the sum of the second and the fifth number?
A.108
B.107
C.110
D.none of these

Can some1 pls explain this qn from procmock 6. i cant understand CL's solution..

The nth term Tn (n is a natural number) of a sequence of natural numbers is either 5^a or is a sum of distinct numbers all of the form of 5^a, where 'a' is a whole number. If Tn

a. 5^17

b. 5^16

c. 5^4

d. 5^4 + 1


IF 35 ! = 10333147966386144929A66651337523200000000 Then what does digit A represents...???

1) 4
2) 8
3) 6
4) 2

Q1






Which of the following represents the largest 4 digit number which can be added to 7249 in order to make the derived number divisible by each of 12,14,21,33 and 54

  • 8316
  • 9123
  • 9383
  • 8727

0 voters

In how many ways a cube can be colored using 6 colors if each color should be used at least once?

If n is an odd natural number and n! ends with 32 zeros, then how many values of n are possible?

A solid sphere is cut into 16 identical pieces with 5 cuts. What is the percentage increase in the combined total surface area of all the pieces over that of the original sphere?

Number of distinct terms in the expansion of (x+y+z+w)^30 are??
a)4060
b)5456
c)27405
d)46376

In a semicircle with centre O and diameter AB, a parallelogram PQOA is formed where P and Q lie on the circumference of the semicircle. Find the ratio of the area of the semicircle to the area of the parallelogram PQOA.