Quant by Arun Sharma

MBA CAT 2024
2098
1.Company produces z units of output at a total cost of R. where R=(1/10)*z^3-5z^2+10z+5. At what level of output will the avg variable cost attain its minimum?


Total cost for z items is R so avg cost will be R/z

so Avg=(1/10)*z^2-5z^+10
differentiating this and equating this to zero gives Z that is 25
2099
1) 33^34^35 is divided by 2.remainder will be 1

Can U plz provide detailed explanation
2100
maheshhg13 Says
Can U plz provide detailed explanation

hey..33 is an odd no.
anything to the power 33 will result a no with unit place digit 3,9,7 or 1.
and so dviding by 2 will result remainder 1.
=========================================================
living with hope..
2101
maheshhg13 Says
Can U plz provide detailed explanation

33 when you divide by 2 you get the remainder 1 now this 34^35 is like multiplying 1 34^35 times so it gives you 1
2102


2.H1,H2..Hn are n harmonic means between a and b then value of ((H1+a)/(H1-a))+((Hn+b)/(Hn-b)) is equal to?\
a) n+1 b) 2n c)2n+3 d) n-1


i'm getting 2n-4
heres how i got it

a,h1,h2,...hn,b are in hp =>1/a, 1/h1,...1/hn,1/b are in ap
1/h1=1/a+d
so h1= ad+1/a

h1+a/h1-a =2a+a^2d/-a^2d = 2+ ad/(-ad)

hn=1/a+(n-2)*d
b=1/a+(n-1)*d

Hn+b/Hn-b= 2a+2a^2dn - 3a^2d/ad

adding
-2-ad+ 2+2adn-3ad/ad = 2adn-4ad/ad = 2n-4
2103
simrat_sandy Says
33 when you divide by 2 you get the remainder 1 now this 34^35 is like multiplying 1 34^35 times so it gives you 1

the question says when divided by 7. i posted 2 by mistake. so its remainder when 33^34^35 divided by 7.
2104

Please help me solve the attached problem
Find x.

Thanks,
doux

2105

A cylinder & cone with equal diameter of their bases r placed in minar one on another,with cylinder placed in bottom.If their curved surface area ratio is 8:5,find ratio of their heights. assume height of cylinder 2 b equal 2 radius of minar?

2106
Please help me solve the attached problem
Find x.

Thanks,
doux


Value Of X=4....wats da OA
2107

The solution is in the next post!!

2108
Please help me solve the attached problem
Find x.

Thanks,
doux




As per the property,

PT^2=PA*PB
=> 6^2=5(5+x)
=> 36=25+5x
=>5x=11
=>x=2.2
2109

hi,


can anyone please help me out with the percentage calculation in Percentage Chapter 4 of the book about Percentage Graphis Method.
In the book in an example 360/.99 anbswer was solved using PERCENTAGE GRAPHIC METHOD. Could any one please explan me the principle as to how tha could be used to solve such problems and others as 360/1.05 etc

2110
As per the property,

PT^2=PA*PB
=> 6^2=5(5+x)
=> 36=25+5x
=>5x=11
=>x=2.2

Ya man its 2.2, i got property wrong...
2111

Hi..
here's my question -
Q. Find the sum of the series
1/(2^0.5 + 1^0.5) + 1/(2^0.5 + 3^0.5) + ......... + 1(120^0.5 + 121^0.5)

2112

This question is from Geometry LOD- I ques.15

ABC is a right angled triangle with BC=6cm and AB=8cm. A circle with centre O and radius x has been inscribed in ABC. What is the value of x?

Please help!

2113
This question is from Geometry LOD- I ques.15

ABC is a right angled triangle with BC=6cm and AB=8cm. A circle with centre O and radius x has been inscribed in ABC. What is the value of x?

Please help!

ans--2.
since 2 sides r given so hypotenuse'll be 10 cm...then apply d concept dat a circle has equal tangents from one point and u'll get d answer..


STAY HUNGRY...STAY FOOLISH
2114
This question is from Geometry LOD- I ques.15

ABC is a right angled triangle with BC=6cm and AB=8cm. A circle with centre O and radius x has been inscribed in ABC. What is the value of x?

Please help!


As you can guess that this is a Right angled Triangle having the sides 6 , 8 and 10.

x here is nothing but the inradius.

We have a formula for calculating the inradius as follows :

r = ab/a+b+c

From the above formula we get a = 6 ; b = 8 and c = 10

Now ; x = 6*8/ 6+8+10 = 2
2115
ankur123xyz Says
the question says when divided by 7. i posted 2 by mistake. so its remainder when 33^34^35 divided by 7.

ans:4

33 gives 5 as rem each time..
this repeated 34^35 no. of times gives 4 as rem
2116

Pl help me out.

Ten tickets are numbered 1,2,3....10.Six tickets r selected at random one at a time with replacement.The probability that the large number appearing on the selected tickets is 7 is:

A] (7^6-1)/10^6 B] (7^6 - 6^6)/10^6 C] 6^6/10^6 D] (7^6 + 6^6)/10^6 E] none of these.

pl explain with solution.
thanx

2117

guys i m gonna prepare for CAT 2011........ do i need 2 go thru books of 8th, 9th and 10th or can i start with Arun Sharma...............

thx

CAToholic 2011

No one gives it to u , u have to take it.....!!!