Quant by Arun Sharma

pguser Says
thanx avinav i also got the same answer but in the book the ans. was given as 28, so got confused and needed to check.

The book's answer is obviously wrong...... because I checked this using a calculator 😁

q)how many 3 digit no have property that their digits taken from left to right form an ap or gp?

plz help me how to solve this?

Can anyone solve this pls.

The letter of the word `article` are arranged at random. Find the probability that the vowels may occupy the even places.

1)2/35
2)1/35
3)3/36
4)1/17


thr r 3 vowels a, i and e in 'article'

As 'article' is a 7 letter word, we have only 3 even positions to place a, i and e. So we have to select 3 vovels for 3 positions (3C3 = 1) and arrange them in 3! ways. And the rest four letters can be arranged amomg themselves in 4! ways. Hence we get total arrangements with vowels occupying the even places as (3C3)x3!x4!.
Total possible arrangements without any condition are 7!.

Hence the probability = (3!x4!)/7!

= 1/35
Average in Short Kut
Hi Guys, you people must be knowing by now that problems on average can be done faster using the short kut methods given in Arun sharma's quant book. There's also a similar approach in TG. Well I was going through the LOD-1 problems (I know I shouldnt at this time) and found certain problems to which I was not able to apply the shortcut method Mr. Arun Sharma has displayed in his book. Can someone tell me if the following problems can be solved using the short cut or it is best solved using the orthodox weighted average method.

1. Average age of a cricket team of 11players is 30. Average age of 5players (captain excluded) is 27. Average age of another 5players different from the first set of 5players and excluding the captain is 29. What's the age of the captain?


Please let me know if there's a better way to solve than finding the age of the captain as:
30*11 - 27*5 - 29*5

Well there's a few more like these..But if someone can explain the funda then possibly I can do the rest myself...Please help.
Average in Short Kut
Hi Guys, you people must be knowing by now that problems on average can be done faster using the short kut methods given in Arun sharma's quant book. There's also a similar approach in TG. Well I was going through the LOD-1 problems (I know I shouldnt at this time) and found certain problems to which I was not able to apply the shortcut method Mr. Arun Sharma has displayed in his book. Can someone tell me if the following problems can be solved using the short cut or it is best solved using the orthodox weighted average method.

1. Average age of a cricket team of 11players is 30. Average age of 5players (captain excluded) is 27. Average age of another 5players different from the first set of 5players and excluding the captain is 29. What's the age of the captain?


Please let me know if there's a better way to solve than finding the age of the captain as:
30*11 - 27*5 - 29*5

Well there's a few more like these..But if someone can explain the funda then possibly I can do the rest myself.... Is there any place in PG where this concept has been specifically discussed in details?? Please help....

thanks so much shanks4mba, wintersanshul

I got another doubt from this problem

ten tickets numbered 1,2,3..,10. Six tickets are selected at random one at a time with replacement. The probability that the largest number appearing on the selected ticket is 7 is

Ans is (7^6)-(6^6)/10^6

with explanation plsss

thanks so much shanks4mba, wintersanshul

I got another doubt from this problem

ten tickets numbered 1,2,3..,10. Six tickets are selected at random one at a time with replacement. The probability that the largest number appearing on the selected ticket is 7 is

Ans is (7^6)-(6^6)/10^6

with explanation plsss


no. of ways 4 nt selecting 8, 9 and 10 =7 /10.
as we have to select 6 tickets thus no. of ways = 7^6/10^6
bt in the selected 6 tickets the highest no can also be 6 (1,2,3,4,5,6 numbered ticket) thus we subtract the cases of highest no.on any of the 6 tickets being 6 which is not selecting 7,8,9 and 10 = 6^6/10^6
therefore the ans. is (7^6)-(6^6)/10^6
no. of ways 4 nt selecting 8, 9 and 10 =7 /10.
as we have to select 6 tickets thus no. of ways = 7^6/10^6
bt in the selected 6 tickets the highest no can also be 6 (1,2,3,4,5,6 numbered ticket) thus we subtract the cases of highest no.on any of the 6 tickets being 6 which is not selecting 7,8,9 and 10 = 6^6/10^6
therefore the ans. is (7^6)-(6^6)/10^6


I think this explanation by yukti is sufficient to clear your doubt?

pls. solve n explain the following problem...

1) Due to a 25% hike in the price of rice, a person is able to purchase 20kg less of rice for Rs.400.Find the initial price.


thanks,

pls. solve n explain the following problem...

1) Due to a 25% hike in the price of rice, a person is able to purchase 20kg less of rice for Rs.400.Find the initial price.


thanks,

x initial price per kg

1.25 x increased price per kg

400/x - 400/1.25x = 20

400 (.25/1.25x) = 20

x = 4

Somebody explain question 21,22 &23 from geometry chapter level of difficulty II,there are 3 diagrams.

"nw he has to move up 12m (in an hr)...

but he wud move the rest 7m within 35 mins...!!

so in total 16:35...!!"

sorry frankly speak'g i didn't understand 7m in 35 mins...
Plzz xplain
Thanks

Plz solve this remainder problem.

Given f(n)=6^n + 8^n
Find the remainder when f(83) is divided by 49.
Plz explain the method.

Plz solve this remainder problem.

Given f(n)=6^n + 8^n
Find the remainder when f(83) is divided by 49.
Plz explain the method.


i m getting 11 as my answer if correct will post the solution..

There Are 4 letters and 4 envelopes. in how many ways can wrong choices be made?

a)4^3 b)4! - 1 c) 16 d) 4^4 - 1

this sum looks like a sum on de-arrangement but the answer as per the book does not match if de-arr is followed.

madnikhil Says
i m getting 11 as my answer if correct will post the solution..


the answer is 35
wats the method?

Plz explain this solved problem

the ratio of the factorial of a number x to the square of the factorial of another no,which wen inc 50% gives reqd no,1.25.
X?
pg 9 prob 1.16


:banghead::banghead::banghead:

prags

PP' and QQ' are 2 common tangentsto 2 circles intersecting at points A and B.The common chord on produced intersects PP' in R and QQ' in S.which of the following is true?
a)RA^2+BS^2 b)RS^2=PP'^2+AB^2 c)RS^2= PP'^2+QQ'^2 d)RS^2=BS^2 +PP'^2 e)None of these

Two horses started simultaneously towards each other and meet each other 3 h 20 min later.How much time will it take the slower horse to cover the whole distance if the first arrived at the place of departure of the second 5 hours later than the second arrived at the point of departure of the first

a)10hrs
b)5hrs
c)15hrs
d)None of these

Two horses started simultaneously towards each other and meet each other 3 h 20 min later.How much time will it take the slower horse to cover the whole distance if the first arrived at the place of departure of the second 5 hours later than the second arrived at the point of departure of the first

a)10hrs
b)5hrs
c)15hrs
d)None of these

Distance between points of departures is same for both horses

let 1 horse take x hours
then the other takes x+5 hours
working together, they complete the distance in 10/3 hours

treat it as a work time problem

1/x + 1/(x+5) = 3/10

x = 5