LOD3 PROBLEMS,NUMBER SYSTEM,QUESTION11-13:at a particular time in the twenty first century there were seven bowlers in the indian cricket team list of 16 players shortlisted to play for next world cup.staticians discovered that if you look at number of wckets taken by any of the 7bowlers of the current indian cricket team,the number of wickets taken by them has a strange property.the numbers are such that any team selection of 11 players(having 1 to 7 bowlers)by using the number of wickets taken by each bowlers and attaching coeffients of+1,0 or-1 to each value available and adding the resultant values,any number from 1 to 1093,both included could be formed.if we denote w1,w2,w3,w4,w5,w6 and w7 as the seven values in the ascending order what could be the answer to the following quesions:(Q47) find the value of w1+2w2+3w3+4w4+5w5+6w6....options a)2005 b)1995 c)1985 d)none of these.....................ans(a)..............(Q4find the index of the largest power of 3 contained in the product w1.w2.w3.w4.w5.w6.w7....option a)15 b)10 c)21 d)6..............ans(c).......................Q(49)if the sum of the seven coefficients is 0,find the smallest number that can be obtained....option a)-1607 b)-729 c)-1041 d)-1054.........ans(c)

@ao4mba

Hi Puys...please help me with this question :-Circles are drawn with four vertices as the centre and radius equal to the side of a square.If the square is formed by joining the mid-points of another square of side 2*,find the area common to all the four circles.Please post all the steps.Thanks!

plzz refer

Circles are drawn with four vertices as the center and

@leo_august

This is a caselet from Averages, Arun Sharma , page 111.I am looking for the method to solve the 48th question pertaining to the case on page 112. Have reproduced some facts of the case. Runs scored / over in diff styles : D- defensive, N - normal, A - aggressive D N A Tendulkar 4 6 8 Ganguly 3 4 5 Kumble 2 3 4harbhajan3 4 5 Srinath 3 4 5 Yohanna 2 3 4 India has to score 360 runs on last day of test match having 90 overs to win the match. They are chasing a score of 411/7 declared by opponents. Assume that tendulkar walks in after fall of 5th wicket and shares partnerships with the players (below him in the order in which they are listed in the table) who have batted normally (n) , defensively(d), d, d, d, and d respectively in the order of players listed after tendulkar. Sachin has played normally(n) with ganguly and agressively with others . Sachin's partnerships with Ganguly , Kumble, Bhajji, Sri and Yohannan lasted for 12, 10, 8 , 5 and 10 overs respectively. He has shared strike equally with ganguly and kept 2/3 strike in other 4 partnerships. If India proceeded to win the match, based on runs scored in last 5 partnerships, assuming tht last wicket pair was unbeaten, whats the max score at which sachin could have come to bat Options: 103/5 97/5 100/5 104/5 Thanx ..

Answer is 104. Assume that Sachin hits a six on the last ball of the inning making total score as 366. Minimum contribution by partnership is 262. (Sum of runs made by last 5 partnerships). So, 366-262=104.

Apurva can do a piece of work in 12 days. Apurva and Amit complete the work together and were paid Rs54 and Rs81 respectively. How many days may they have taken to compete thye work together???"Answer with Expalnation"

PLs HLP

23)

Find the point of intersection of the two given conics:

C1= X^2 +Y^2– XY=37 C2 = X^2+ Y^2 – 4XY = -26

a) 3,8 b) 3,7 c) 4,6 d) 4,9 e) (2,3)

24) Find the value of F(X)= X^3 + Y^3- 3X – 4Y at point of intersection of the two given conics:

C1= X^2 +Y^2– XY=37 C2 = X^2 + Y^2 – 4XY = -26

a) 332 b) 345 c) 333 d) 350 e) 376

SOURCE:

APTICENTRE

A can do a piece of work in 20 days. He works at it for 5 days and then B finishes it in 10 more days. In how many days will A and B together finish the work???

Hi Puys,

I have been preparing from Arun Sharma for past few months .But however when i tried to solve the some cat paper of past year i felt that the book felt short .Can you please suggest whether i should continue with this book and paper or are there any other books which could give realy cat feel.Plz help!!!!

If TAYLOR SERIES EXPANSION for f(x) = ln(1+x) is

X - x2/2 + x3/3 - x4/4 + x5/5 - x6/6... =

∑ (-1)(n-1) *( x^n/n ) ( for n = 1 to ∞)

((-1)^(n+1)x^2n)/(2n)

@rk90 said:

a number 15 is divided into 3 parts which are in AP and the sum of their squares is 83.find the smallest noa)5 b)3 c)6 d)8 e)7

@rk90 said:

how many terms are identical in the two APs 1,3,5....120 terms and 3,6,9...uopt 80 terms?a)38 b)39 c)40 d)41 e)42i know itz an easy problem but i dont get it.plz tell me the approach

@arunima88in said:

Page 202 Profit and Loss LOD- 3-My Doubts- How to solve question(4). Also do we need to consider depreciation of taxi

@1234gaurav said:

find the highest power of 2 in 1! + 2! + 3! + 4! + ... + 600!

@rk90 said:

a number 15 is divided into 3 parts which are in AP and the sum of their squares is 83.find the smallest noa)5 b)3 c)6 d)8 e)7a-d, a, a+d
3a=15
a=5
Check for 3,5,7
9+25+49 = 83