Quant Basics for Zeros in Quant - CAT 2012

MBA CAT 2024
161

Is it 3 SIR?????????

162
ailuroph0bic Says
Is it 3 SIR?????????

Yup 3 it is & no Sir please...........
Regards,
Never Back Down
163
Find Last Digit of the given expression->
1!+2!..................324!

Regards,
Never Back Down

NBD sir is it three????? and keep posting questions sir.......
thanks in advance....
164

can any one please explain the FUNDA for Remainder..... i mean euler and all dat stuff......... i m really bad @ remainder..:banghead: Need your help puys......

Thanks in advance........

165
Find Last Digit of the given expression->
1!+2!..................324!


Sol:- After 4! every factorial ends in a Zero. So no matter how many factorials we add. The last digit can be determined by 1!+2!+3!+4! = 1+2+6+24 = 33.
So here the last digit will be 3.

Note:- 5! = 120
Therefore all the factorials from then end with a Zero.
166
Bhaiyon great job...Chak de CAT-2012..

I'll post questions as well...saare topics kar lenge...



Dis is different...Plz suggest me best buks For quant and di...
Arihant,nishit or Arun Sharma:clap:


all are gr8 buks...go 4 nishit sinha if u want to...buk b4 deciding hv a luk at dere onlin version...nd jus c to urself if u r satisfied...
167
Sol:- After 4! every factorial ends in a Zero. So no matter how many factorials we add. The last digit can be determined by 1!+2!+3!+4! = 1+2+6+24 = 33.
So here the last digit will be 3.

Note:- 5! = 120
Therefore all the factorials from then end with a Zero.

Rocker sir plz keep this thread alive by posting questions........
Thanks a ton.......
168
1. Answer = Cost Price is 600 rs

2. answer = cost of table = 360, Cost Of chair = 240

@ Deeps plz let me know if answers are correct.......
and keep posting questions...... Thanks

PS = if my answers are correct . then both the questions can be solve by simple linear equations..

Thanks
ailuroph0bic.......


yup ur ans r ri8 cn u plzz xplain hw u gt d ans

n sry frezs 4 d late reply :shock:
169
Hi;
We get 2 Equations. as per the question solving which we get the req. ans.
(s-c)/c = 20/100 ............................(1)
(s-100)-(c-100)=(c-100)(104/100).....(2)

Solve simultaneous eq. to get the ans..


'Q2 a person sells his table at a profit of 25/2% and the chair at a loss of 25/3% but on the whole he gains rs 25 . on the other hand if he sells the table at a loss of 25/3% and the chair at a profit of 25/2% then he neither gain nor loss
find the cost price .'

Let CP be x,y respectively::again 2 simultaneous equations:-
x(1+25/200) + y(1-25/300) - (x+y) =25......(1)
x(1-25/300) + y(1+25/200) = (x+y)............(2)



Regards,
Never Back Down


thanx 4 d rply bt cn u plz elaborate it more
becoz still m nt gtg d crct ans
170

A reduction of 10 % in the price of sugar enables a person to obtain 25kg more for rs 225 . what is the reduction price per kg ? n also the original price per kg ?

plzz provide d ans wid detailed explanation
(humble request )

thanx n regards
Deepika

171
A reduction of 10 % in the price of sugar enables a person to obtain 25kg more for rs 225 . what is the reduction price per kg ? n also the original price per kg ?

plzz provide d ans wid detailed explanation
(humble request )

thanx n regards
Deepika

is it 1rs/kg the original price of sugar
and .1 is the reduction price????
Plz confirm the answers
Thanks and regards
ailuroph0bic.....
PS if they r correct i wl xplain them....
172

Common PUYS........ POST some questions...... We have to keep this thread alive...... HYDROCKER BHAI.... ONUS on u....
Common NBD sir.....
Thanks and Regards
Ailuroph0bic.....

173

TO number the pages of a book exactly 300 digits were used. How many pages did the book have????????

174
ailuroph0bic Says
TO number the pages of a book exactly 300 digits were used. How many pages did the book have????????


Hi the answer will go like this
For the first nine pages i used - 9 digits
From 10 to 99 i used = 90*2= 180
so total digits consumed till now= 189 (180+9)
Left after this one= 300-189= 111
So more pages= 111/3= 37
So total pages= 99+37= 136
175
Hi the answer will go like this
For the first nine pages i used - 9 digits
From 10 to 99 i used = 90*2= 180
so total digits consumed till now= 189 (180+9)
Left after this one= 300-189= 111
So more pages= 111/3= 37
So total pages= 99+37= 136

BRAVO......... 136 is right....

DUDE post some questions....... we have to keep this thread alive........
176
Find the No. Of ZEROES at the end.
1. N=204*221*238*255*............................*850
2. N=36!^36!
3. N=7*14*21*..........................*777.


4.Find the Remainder When 7+77+777+7777+.....(till 100 terms) is divided by 8
5. How many times does the digit 6 appears when we counts from 11 to 400
6. how many numbers having 8 as a digit from 11 to 400.

these all question are from NUMBER SYSTEM. try the easiest way to solve them.:clap::clap:
177
Find the No. Of ZEROES at the end.
1. N=204*221*238*255*............................*850
2. N=36!^36!
3. N=7*14*21*..........................*777.


4.Find the Remainder When 7+77+777+7777+.....(till 100 terms) is divided by 8
5. How many times does the digit 6 appears when we counts from 11 to 400
6. how many numbers having 8 as a digit from 11 to 400.

these all question are from NUMBER SYSTEM. try the easiest way to solve them.:clap::clap:

5. How many times does the digit 6 appears when we counts from 11 to 400
IS it 79....?????(Done by cumbersome counting)
6.how many numbers having 8 as a digit from 11 to 400.

79 - 4 = 75(four cases subtracted are 88,188,288,38
Plz tell the answers..
Thanks and Regards
PS: buddy baki questions nahn ho rahe. :(
178
5. How many times does the digit 6 appears when we counts from 11 to 400
IS it 79....?????(Done by cumbersome counting)
6.how many numbers having 8 as a digit from 11 to 400.

79 - 4 = 75(four cases subtracted are 88,188,288,38
Plz tell the answers..
Thanks and Regards
PS: buddy baki questions nahn ho rahe. :(


4.Find the Remainder When 7+77+777+7777+.....(till 100 terms) is divided by 8

7/8 = 7

77/8 = 5

777/8 = 1

7777/8 = 1

and so on .....

so we have to calculate (7+5 +1+1.........)/8 = 110/8 = 6

so answer is 6.......

Plz let me know is it correct?????????
thanks and Regards
Ailuroph0bic.....
179

where is public?????/ Common Puys we have to keep this thread alive.......
common.......:cheers:

180
A reduction of 10 % in the price of sugar enables a person to obtain 25kg more for rs 225 . what is the reduction price per kg ? n also the original price per kg ?

plzz provide d ans wid detailed explanation
(humble request )

thanx n regards
Deepika


Sol:- the extra 25 kg is obtained because of 10% reduction in price i.e. 10% of 225 = Rs. 22.50
Reduced price per kg = 22.50/25= Rs 0.90
10% reduction in price means you pay 90% of the original price.
90% of original price = 0.90/kg
original price=Rs 1/kg.