Official Quant thread for CAT 2013

How many two digit prime numbers are there in base-9? I am getting 20 .Please confirm . I dont have OA
@Asfakul said:
How many two digit prime numbers are there in base-9? I am getting 20 .Please confirm . I dont have OA
Smallest 2 digit no in base 9 = 9 ( in base 10 )
Highest 2 digit no in base 9 = 80 ( in base 10 )

Prime nos from 9 to 80 are 18

18 ?
@ScareCrow28 said:
Smallest 2 digit no in base 9 = 9 ( in base 10 ) Highest 2 digit no in base 9 = 80 ( in base 10 )Prime nos from 9 to 80 are 1818 ?
yes. right . please explain how did you find the 2 limits

The given diag shows road map of a city. The lines indicate roads but there are no roads through park. All roads are either parallel or perpendiculur to each other. Peter wants to go from X to Y travllng min distance. In hw mny ways cn he make the jrny??

[p.s-- all blocks in diag are actually squares. Sorry fr the distorted fig ]

a)55 b)100 c)166 d)220 e)110
@Asfakul said:
yes. right . please explain how did you find the 2 limits
Smallest 2 digit no in base 9 = 10 = 9 in base 10
Largest 2 digit no in base 9 = 88 = 80 in base 10
Hope you got it :)

@ScareCrow28 said:
Smallest 2 digit no in base 9 = 10 = 9 in base 10 Largest 2 digit no in base 9 = 88 = 80 in base 10Hope you got it
Okay I think I have . Largest number is 88 because in base 9 largest digit is 8 . so 88 .
@Asfakul said:
How many two digit prime numbers are there in base-9? I am getting 20 .Please confirm . I dont have OA
smallest two digit number -> 9
largest -> 9^2 - 1 = 80

so 18 primes i guess
@Asfakul said:
Okay I think I have . Largest number is 88 because in base 9 largest digit is 8 . so 88 .
largest k digit number in any base n is always n^k - 1 😃


@meow14 said:
The given diag shows road map of a city. The lines indicate roads but there are no roads through park. All roads are either parallel or perpendiculur to each other. Peter wants to go from X to Y travllng min distance. In hw mny ways cn he make the jrny??[p.s-- all blocks in diag are actually squares. Sorry fr the distorted fig ]a)55 b)100 c)166 d)220 e)110
110
@DarkHorse25 said:
110
pls post the approach for this 1

210-10*10

total no of ways 10C4 . the no of wrong ways 5C2 * 5C2. 10C4-5C2*5C2=110

@DarkHorse25 said:
total no of ways 10C4 . the no of wrong ways 5C2 * 5C2. 10C4-5C2*5C2=110
thnx

In how many ways can 6 identical rings be worn in 4 fingers of one hand if any no. of rings can be worn in one finger??

a.6^4 b.4^6 c.4!*6! d.84 e.196
@DarkHorse25 said:
total no of ways 10C4 . the no of wrong ways 5C2 * 5C2. 10C4-5C2*5C2=110
why 10c4??
@meow14 said:
In how many ways can 6 identical rings be worn in 4 fingers of one hand if any no. of rings can be worn in one finger??a.6^4 b.4^6 c.4!*6! d.84 e.196
84?
@meow14 said:
In how many ways can 6 identical rings be worn in 4 fingers of one hand if any no. of rings can be worn in one finger??a.6^4 b.4^6 c.4!*6! d.84 e.196
84??
@meow14 said:
In how many ways can 6 identical rings be worn in 4 fingers of one hand if any no. of rings can be worn in one finger??a.6^4 b.4^6 c.4!*6! d.84 e.196
84 ?

9c3 = 84
@meow14 if u consider the park as 2*2 grid. then no of ways 10C4. but all the ways through the middle point of park are wrong . so we are subtracting 5c2 * 5c2.
@techgeek2050 @mailtoankit correct. plz post approach.