The PaGaLGuY UnderDogs Team 2012

@Omkarp said:
Arey woh ek divide by 2 wala factor bhi tha which I forgot to add in my last post.Or another way is to select two out of the 10 people the number of ways will be 10*9, because idhar order vital hai.. Anyway..Waise probability wale ka Official explanation kya hai??For the abcdef wala question,abcdef aur defabc ka digit sum equal hoga.abcdef*k = defabc hai. We know that multiplication by 9 does not affect the digit sum.So k = 9. defabc is a multiple of 9, matlab uska digit sum will be a multiple of 3. That means abcdef ka digit sum is also a multiple of 3.So, 3*9 = 27.
Why can't the answer be 36?...please explain.
@Enigma001 said:
Why can't the answer be 36?...please explain.
Because third power aa gaya na yaar 3 ka..
Mere explanation main clearly 3*9 likha toh hai..
@Enigma001 said:
Why can't the answer be 36?...please explain.
27 ka koi bhi multiple hoga basically..
Options main ek hi tha, so 27..
54 ya kuch aur hota toh issue aa jaata..

Lekin 54 se zyada nahi hota..
Aur 54 hota toh the number would've been 999999.... Toh isko multiply karoge toh 7 digit number aayega, toh necessarily 27 hoga.
@nits2811 said:

A six-digit natural number abcdef becomes defabc upon being multiplied by a natural number. Find the sum of its digits if they are distinct.

20

24

27

36

ans-> 27

142857 * 6 = 857142
@dreamboy19 said:
ans-> 27142857 * 6 = 857142
Numbers kaise find kiye? :O
@Omkarp said:
Explanation main gandh machayi thi..so editing..1 - (10/10C2)Last time I successfully managed to confuse myself. Waise probability wale ka Official explanation kya hai??For the abcdef wala question,abcdef aur defabc ka digit sum equal hoga.abcdef*k = defabc hai. We know that multiplication by 9 does not affect the digit sum.So k = 9. defabc is a multiple of 9, matlab uska digit sum will be a multiple of 3. That means abcdef ka digit sum is also a multiple of 3.So, 3*9 = 27.
yehi joh tumne likha h...probability walen ka wahi h explanation..waise easy method joh maine socha tha woh batata huun...ek ko choose kar lia...toh now 9 are left usme se do ko chod ke baaki koi bhi exchange kar sakta h so 7/9...
xplanation kuch samaj nhi aaya...plss cum again..
@nits2811 said:

Ten persons are seated around a circular table. Two of them exchange their places. What is the probability that the two persons who exchange their places, are not sitting side by side?

7/9

2/9

4/5

1/9

ans->> 7/9

take first person. now other person can be selected in 9 ways and person who is not his neighbour in 7 ways so
7/9
@dreamboy19 said:
ans-> 27142857 * 6 = 857142
xplain plss...
@nits2811 Super approach!
@Omkarp said:
Numbers kaise find kiye?
(abc*1000 + def) * n = (def *1000 + abc)
abc/def = (1000-n)/(1000n-1)


now n cannot be more than 9 only n=6 satisfies and gives abc/def = 994/5999= 142/857
@nits2811 said:
yehi joh tumne likha h...probability walen ka wahi h explanation..waise easy method joh maine socha tha woh batata huun...ek ko choose kar lia...toh now 9 are left usme se do ko chod ke baaki koi bhi exchange kar sakta h so 7/9...
xplanation kuch samaj nhi aaya...plss cum again..
Your method is simple and elegant..

Dekho, this other dude has found the exact numbers.
My approach is,

See when you multiply any number by any multiple of 3, the digit sum remains unchanged.

Ab question main likha hai abcdef*k = defabc.
And both sides ka digit sum equal hai..

Matlab k is a multiple of 3.
That means defabc is a multiple of 3.
That means abcdef is a multiple of 3.
That means abcdef*k = defabc is a multiple of 9.
That means abcdef is a multiple of 9, and hence defbca is a multiple of 27.

So, the sum of the digits will be a multiple of 27.

Each of the six people €“ Akshita, Babita, Chintan, Devina, Engela and Farooq €“ works in a different department among Marketing, Finance, Operations, Academics, IT and HR and belongs to a different city among Dhaka, Kashipur, Meerut, Bikaner, Jaipur and Pune, in no particular order. It is also known that:


(i) The person who works in Operations belongs to Kashipur. (ii) Neither Akshita nor Devina belongs to Bikaner. (iii) Akshita works in neither IT nor Marketing. The same is true for Farooq. (iv) Devina works in HR and belongs to neither Jaipur nor Pune. (v) Babita belongs to Dhaka and doesn €™t work in Finance. (vi) The person who works in Academics belongs to neither Jaipur nor Pune. The same is true for the person who works in Finance.


39. Who works in Operations? (a) Akshita (b) Chintan (c) Engela (d) None of these


40. Who works in Finance? (a) Akshita (b) Chintan (c) Engela (d) Farooq


41. The person who works in Academics belongs to which city? (a) Jaipur (b) Dhaka (c) Meerut (d) None of these



@abhi_14

39. a..
40. d..
41. b... ???
@ash1615 : yes bro....cud u pls xplain the approach u followed..i got stuck in this questn...

@nits2811 said:
yehi joh tumne likha h...probability walen ka wahi h explanation..waise easy method joh maine socha tha woh batata huun...ek ko choose kar lia...toh now 9 are left usme se do ko chod ke baaki koi bhi exchange kar sakta h so 7/9...
xplanation kuch samaj nhi aaya...plss cum again..
Explanation for @Omkarp Method.....we are finding the prob of two people exchanging places who are adjacent....so select 1 out of 10 in 10 ways...now we can select neighbour in 2 ways...so fav cases 10*2=20...but we need to divide by 2 as order is not imp...we are taking combination here...so 20/2=10...total possibilities=10C2=45...Prob=10/45=2/9...
Answer will be 1-2/9=7/9...
@abhi_14 said:
@ash1615 : yes bro....cud u pls xplain the approach u followed..i got stuck in this questn...
I solve these type of questions by making that criss-cross table !! If you do it the same way then I guess read point (vi) again... After taking all points A will have Fin,Acad and Oper... and cities will be Kashi , Pune and jaipur... Now this means A can working in Oper and hence city Kashipur only.... Similar logic will be used in 1 more case then..
@ash1615 hmm...actually to figure out tht A connection with kashipur, i took a long tym...wasted around 12-15 mins it....anyways cud u pls share the criss-cross table u made fr this questn..may b u cn upload a pic...
@abhi_14 said:
@ash1615 hmm...actually to figure out tht A connection with kashipur, i took a long tym...wasted around 12-15 mins it....anyways cud u pls share the criss-cross table u made fr this questn..may b u cn upload a pic...
ok.. will do so in the evening ! in office now...

The shapes of background galaxies in the universe are seen distorted due to the presence of foreground dark matter. As we have prior knowledge of the undistorted and intrinsic shapes of galaxies we can use the observed shapes of galaxies to infer the properties of the intervening dark matter.

Which, among the following, cannot be inferred from the above?


The universe contains dark matter besides galaxies.

We have previous knowledge of the undistorted shapes of galaxies.

The dark matter distorts the shapes of galaxies.

Dark matter is present between us and galaxies.


The Fiscal Responsibility and Budget Management Act is only the beginning of fiscal reform and has to be backed by action on all fronts. One gets the impression that the first medium-term, three-year fiscal plan has been put together in a hurry without adequate preparation. The Government has to bring out a meaningful medium-term plan based on realistic and explicit assumptions on crude oil prices, inflation and growth rates when presenting the next budget. _________


The assumptions made on crude oil prices, are obviously unrealistic and would affect the budget and medium-term plan drastically.

The Act should be implemented to serve as a tool and not as a formality of statutory obligation.

Routine austerity instructions of ministries will not do.

What is obvious is the devastating effect of over-optimistic growth and revenue estimates on the deficit.

yeh solve karo itne Prepathon mein brk chal rha h..
@Estallar12 solve bhi toh kar bhai..like karke chod dia bas...:P:P