Official Quant thread for CAT 2013

@viewpt said:
0??
Correct!! Reframing the question how many 9's will be there at end of at the end of
1 x 1! + 2 x 2! + 3 x 3! + 4 x 4! + . . . + 100 x 100! ?
@pirateiim478 said:
Similar question:how many zeros are there at the end of1 x 1! + 2 x 2! + 3 x 3! + 4 x 4! + . . . + 100 x 100! ?Hint: write n as n+1-1
0?

What is sum of squares of medians of a equilateral triangle of side 5 cm?

@pirateiim478 said:
What is sum of squares of medians of a equilateral triangle of side 5 cm?
225/4 ?
@pirateiim478 said:
Similar question:how many zeros are there at the end of1 x 1! + 2 x 2! + 3 x 3! + 4 x 4! + . . . + 100 x 100! ?Hint: write n as n+1-1
0??
@pirateiim478 said:
Correct!! Reframing the question how many 9's will be there at end of at the end of1 x 1! + 2 x 2! + 3 x 3! + 4 x 4! + . . . + 100 x 100! ?

24
@pirateiim478 said:
What is sum of squares of medians of a equilateral triangle of side 5 cm?
56.25
@pirateiim478 said:
What is sum of squares of medians of a equilateral triangle of side 5 cm?
direct formula based 225/4
@pirateiim478 said:
What is sum of squares of medians of a equilateral triangle of side 5 cm?
225/4?
@pirateiim478 said:
What is sum of squares of medians of a equilateral triangle of side 5 cm?
56.25 ?

solve this: A& b are frnds nd decif to meet btwn 1 pm nd 2 pm on given day with condition whoever arrives 1st will not wait for the other mor thn 15 min what is the probablity that they vil meet that day .

@pirateiim478 said:
A century can end with .......a. Sundayb.Tuesdayc.Thursdayd.Saturday
bhai... approach for dis ?
@bs0409 said:
Ki baba....!!! Kemon cholche tomar??So, u applied to any univ or waiting for CAT'13?I am assuming your company joining letter will come soon enough.Find the total number of values of n for which n^2 + 24n + 21 is a perfect square.Where n is natural number.
2 possibilities ==> 10,50
Q: 47^41^37^59 div 67 R=? ?
@karan20

100 yrs 5 200 3 300 1 400 0 odd days

so century can end with friday, wed , monday , sunday.. so I guess ans is sunday :)

@viewpt said:1?
No, final expression will be 101!-1!. So it will end with 24 9's

@karan20 said:
bhai... approach for dis ?
It is based on odd days. 100 years has 5 odd days,for 200 it is 3 , for 300 days it is 1 and for 400 it is 0 odd days. So, century will have 5,3,1,0 odd days or end with Sun,mon,wed or fri

What is length of chord PQ of circle x^2+y^2-4x-1=0, if coordinates of point Q are (1,2)? The chord PQ makes an angle of 60 degrees with radius of circle at point Q?
@heenalove said:
solve this: A& b are frnds nd decif to meet btwn 1 pm nd 2 pm on given day with condition whoever arrives 1st will not wait for the other mor thn 15 min what is the probablity that they vil meet that day .
7/16???
Can be solved using graphical method.......
@bs0409 bhai ye graphical method sikha do bahut bar suna hai!!
@pirateiim478 said:
@viewpt said:1?No, final expression will be 101!-1!. So it will end with 24 9's It is based on odd days. 100 years has 5 odd days,for 200 it is 3 , for 300 days it is 1 and for 400 it is 0 odd days. So, century will have 5,3,1,0 odd days or end with Sun,mon,wed or friWhat is length of chord PQ of circle x^2+y^2-4x-1=0, if coordinates of point Q are (1,2)? The chord PQ makes an angle of 60 degrees with radius of circle at point Q?
root 5
@pirateiim478 said:
@viewpt said:1?No, final expression will be 101!-1!. So it will end with 24 9's
100!/3 no. of three's are 48
so for no. of nines= 48/2=24

one more method was thr not able to recall...books touch kiye hue 1/2 yr ho gya