RS Agarwal. Arun Sharma...

9 = 3 X 3
Number of 3s in 144! = 144/3 + 144/9 + 144/27 + 144/81 = 48+16+5+1 = 70
Number of 3^2 in 144! = 70/2 = 35
is 35 the answer ?

from indiabix and m4maths. it help you.

In orange....R should b 2....

willl some questions from this site appear as it is?

No idea @Pandramish... I have never taken AMCAT...

From the given info, we can derive
n(IE nd H only) = n(IE n H) - n(IE n H n TOI) => 7-3 = 4
n(IE n TOI only) = 12-3 = 9
n(H n TOI only) = 9-3 = 6
Also it is given that the papers sold in equal number...
So No. of papers in each category is same...
IE+(4+9+3) = H+(4+6+3) = TOI+(9+6+3) = say a constant "k"
n(IE only) = k-16
n(H only) = k-13
n(TOI only) = k-18
From 45th problem, n(IE)+n(H)+n(TOI) = 280
So k-16+k-13+k-18 = 280
k = 109
So no. of papers issued in each category is 109... [Total of 109*3=327 papers]
n(IE only) = 109 - 16 = 93
n(TOI only) = 109 - 18 = 91
n(H only) = 109 - 13 = 96


45)
No. of people getting exactly one paper ll be n(IE)+n(H)+n(TOI)
n(IE)+n(H)+n(TOI) = Total - [n(IE n H) + n(IE n TOI) + n(TOI n H) + n(IE n H n TOI)
=> 302 - [4+9+6+3] => 302 - 22 = 280
Ans : 1) 280

46)
n(TOI nd IE but not H) = 91+93+12-3 = 193
So % of people getting TOI nd IE not H = 193*100/302 = 63.90 = 64% approximately
Ans : 2) 64%

47)
n(TOI nd IE only) = 9
n(TOI n H only) = 6
n(IE n H only) = 4
Ratio => 9 : 6 : 4
Ans : 3) 9 : 6 : 4

48)
n(IE n H only) = 4
n(IE only) = 93
Difference = 93-4 = 89
Ans : 4) None of these

49)
n(TOI only) = 91
Ans : 2) 91

You can refer R.S.Agarwal nd Arun Sharma for quant aptitude
www.mrunal.org
www.prepvelvet.com

I think time is a major concern for every next maths student.for this there are many reasons.
First of all I will say practice matters.by coming across different problems and their logics one can increase their speed.
And secondly one should be fast with their calculations and applying shortcuts .

nice websites.......................

30 cubes can be made. .............................

43 cubes can be made and can be calculated as (vol. of wooden block/vol of 1 cube)

@ Hello saraswathi according to answer key the ans is 30 but how i need complete solution

It seems its not related to volume....
Divide each side by 2 nd multiply the quotients
[10/2] * [7/2] * [5/2] => 5*3*2 = 30

@saraswathy can you explain the logic ?