Official Quant thread for CAT 2013

Bill and Clinton take the square of a certain decimal number and express it in base 5 and 6 respectively. Then Bush comes and he takes the two representations and assuming that the expressions are in base 10, adds the numbers. Which of the following cannot be the value of the unit창€™s digit of the sum obtained?

a. 0
b. 2
c. 8
d. 6
e. 3

@anytomdickandhary sir _/\_
@Logrhythm said:
Sorry for the offtopic post - But this is Page 666. *If you know what I mean*
" Number of beast"

In how may ways can 6 couple pairs dance such that no person dances with his/her spouse?
@Zedai said:
Bill and Clinton take the square of a certain decimal number and express it in base 5 and 6 respectively. Then Bush comes and he takes the two representations and assuming that the expressions are in base 10, adds the numbers. Which of the following cannot be the value of the unit €™s digit of the sum obtained?a. 0 b. 2 c. 8 d. 6 e. 3
Is it 3??
@Zedai said:
Bill and Clinton take the square of a certain decimal number and express it in base 5 and 6 respectively. Then Bush comes and he takes the two representations and assuming that the expressions are in base 10, adds the numbers. Which of the following cannot be the value of the unit €™s digit of the sum obtained?
a.
0
b.
2
c.
8
d.
6
e.
3
Is it 6??
In base 5, squares end in 1,4 and 0 while in base 6 squares end in 1,4,3 and 0.
So 6 cannot be the product of addition of 2 squares.
@pirateiim478 said:
Is it 3??
check it out once again, mate.
The product of two numbers '231' and 'ABA' is 'BA4AA' in a certain base system (where base is less than 10), where A and B are distinct digits. What is the base of that system?

a. 5
b. 6
c. 7
d. 8
e. 4
@pirateiim478 said:
" Number of beast"In how may ways can 6 couple pairs dance such that no person dances with his/her spouse?
D(6)


@Zedai said:
Bill and Clinton take the square of a certain decimal number and express it in base 5 and 6 respectively. Then Bush comes and he takes the two representations and assuming that the expressions are in base 10, adds the numbers. Which of the following cannot be the value of the unit €™s digit of the sum obtained?a. 0 b. 2 c. 8 d. 6 e. 3
0 ?
@pirateiim478 said:
" Number of beast"
In how may ways can 6 couple pairs dance such that no person dances with his/her spouse?
Is it 265 ways??
6!(1/2! - 1/3! + 1/4! - 1/5! + 1/6!)
One thing more - Don't you guys study VA on this website??
@pirateiim478 said:
" Number of beast"In how may ways can 6 couple pairs dance such that no person dances with his/her spouse?
265??
@krum said:
D(6) 0 ?
check it again mate.
@ravi.theja
@ravi.theja said:
Find the remainder when the sum 2^100+2^200+2^300..+...+..2^10000 is divided by 7a) 2b) 0c) 1d) 6 e) None of these.
2^100/7 remainder=2
2^200/7 remainder=4
2^300/7 remainder=1
the same series continues for 33 times and then 2^10000/7 remainder=2
s0 33(2+4+1) +2=233/7=2
so answer is 2,option A
@pirateiim478 said:
" Number of beast"In how may ways can 6 couple pairs dance such that no person dances with his/her spouse?
265

=6![1-(1/1!)+(1/2!)+....+(1/6!)]
@vbhvgupta said:
Which of the followinf is not a perfect square100856, 325137, 945729? how to find quickly?
a perfect square can end only in 0,1,2,9,6,5,4 only..so 2nd one is not a p.sq

In how many ways 3 red balls and 4 blue balls can be arranged in 6 different boxes?

@pirateiim478 said:
@Estallar12__/\__ Don't worry you will face same fate as Doc and RTP!! I know you are not but i just wanted to sayA man left between 8 am-9 am and reaches his destination between 2pm-3pm when both hands are at 180 degrees. Find the total journey time ?
ans is time between 8 am + (40*12/11) minutes and 2 pm + (40*12/11) minutes... so its 6 hours.. @pirateiim478 OA please
@rayus said:
ans is time between 8 am + (40*12/11) minutes and 2 pm + (40*12/11) minutes... so its 6 hours.. @pirateiim478 OA please
Correct

@shadowwarrior said:
56*126 = 7056....?
Try again it shld be 28* 84 Use n+r-1Cr-1

3 guys A,B,C travel with speeds 20 kmph,30 kmph and 50 kmph around a circular ground of 1500 meters. A,B move in clockwise direction and C moves in anticlockwise direction. After how much time will all of them meet for 3rd time and what will be respective rounds covered by them?
@pirateiim478 said:
In how many ways 3 red balls and 4 blue balls can be arranged in 6 different boxes?
2352?
=8C2*10C3
@pirateiim478 OA please
@Zedai said:
Bill and Clinton take the square of a certain decimal number and express it in base 5 and 6 respectively. Then Bush comes and he takes the two representations and assuming that the expressions are in base 10, adds the numbers. Which of the following cannot be the value of the unit's digit of the sum obtained?a. 0 b. 2 c. 8 d. 6 e. 3
@Zedai said:
The product of two numbers '231' and 'ABA' is 'BA4AA' in a certain base system (where base is less than 10), where A and B are distinct digits. What is the base of that system?a. 5 b. 6 c. 7 d. 8 e. 4
did anyone get answer for these 2?? i am stuck in them.. :(
@Zedai do you have solution or OA?
@pirateiim478 said:

3 guys A,B,C travel with speeds 20 kmph,30 kmph and 50 kmph around a circular ground of 1500 meters. A,B move in clockwise direction and C moves in anticlockwise direction. After how much time will all of them meet for 3rd time and what will be respective rounds covered by them?
they meet 3rd time after 27 minutes.. dist covered is easy after this.. so i m not calculating.. :)

1.Find whole no. of solutions for |x|+|y|+|z|=36?

2. Find no of +ve solutions for xyz=72?