Official Quant thread for CAT 2013

hari_bang · January 4, 2013, 12:41pm

how many nos are perfect square in dis format xxyy??

any sort trck?

saurav5517 · January 4, 2013, 12:44pm

@hari_bang said:
how many nos are perfect square in dis format xxyy??any sort trck?

1 hi shayad 7744..

hari_bang · January 4, 2013, 12:45pm

The sum of digits in this multiplication will be:
N=202*20002*200000002*20000000000000002*20000000.......2(31 zeroes)
The sum of digits in this multiplication will be:

Approach plz..

hari_bang · January 4, 2013, 12:46pm

@saurav5517 said:
1 hi shayad 7744..

ans to yhi hai

koi sort trck h chck kerne ki?

freebull · January 4, 2013, 12:48pm

i m not getting this one properly..plz have a look at it and give me the explanation !

hari_bang · January 4, 2013, 12:55pm

@freebull said:
i m not getting this one properly..plz have a look at it and give me the explanation !

option e hai ans kya?

freebull · January 4, 2013, 12:57pm

@hari_bang said:
option e hai ans kya?

naa

freebull · January 4, 2013, 1:00pm

@hari_bang said:
The sum of digits in this multiplication will be:N=202*20002*200000002*20000000000000002*20000000.......2(31 zeroes)The sum of digits in this multiplication will be:Approach plz..

1024 ?

vijay_chandola · January 4, 2013, 1:08pm

@hari_bang said:
The sum of digits in this multiplication will be:N=202*20002*200000002*20000000000000002*20000000.......2(31 zeroes)The sum of digits in this multiplication will be:Approach plz..

N = 32323232.... 32 times.

ˆ´ sum of the digits = (3+2)*32 = 160

subhashdec2 · January 4, 2013, 1:12pm

@freebull said:
i m not getting this one properly..plz have a look at it and give me the explanation !

option a 5.64

deedeedudu · January 4, 2013, 1:22pm

@hari_bang said:
The sum of digits in this multiplication will be:N=202*20002*200000002*20000000000000002*20000000.......2(31 zeroes)The sum of digits in this multiplication will be:Approach plz..

Digital sum pucha hai to 7

vijay_chandola · January 4, 2013, 1:23pm

@freebull said:
i m not getting this one properly..plz have a look at it and give me the explanation !

Tax levied = 1,10,000*10/100 + 37,425*30/100 + (1,10,000*10/100 + 37,425*30/100)*(2/100+1/100)

= 11000+11227.5 + (11000+11227.5)*3/100

= 22227.5 + 666.825

= 22894.325

=> percentage = 22894.325/337425 = 6.8 (approx).

What's OA?

freebull · January 4, 2013, 1:26pm

@vijay_chandola said:
Tax levied = 1,10,000*10/100 + 37,425*30/100 + (1,10,000*10/100 + 37,425*30/100)*(2/100+1/100) = 11000+11227.5 + (11000+11227.5)*3/100= 22227.5 + 666.825= 22894.325=> percentage = 22894.325/337425 = 6.8 (approx).What's OA?

its a 5.64

freebull · January 4, 2013, 1:27pm

@Subhashdec2 said:
option a 5.64

elaborate ur approach plz..

subhashdec2 · January 4, 2013, 1:29pm

@freebull said:

elaborate ur approach plz..

10% of 110000=11000

20% of 37425=7485

18475/337425 *100=5.64

karan20 · January 4, 2013, 1:32pm

@vijay_chandola said:

N = 32323232.... 32 times.

ˆ´ sum of the digits = (3+2)*32 = 160

bhai...how did u arrived at N = 3232....32 times.....?

vijay_chandola · January 4, 2013, 1:33pm

@freebull said:
its a 5.64

I took the tax 30 % for the bracket (3,00,001-5,00,00) :embarrassed:

In case of 20%, it would be less than 6.8 percent.

(a) should be the answer :)

vijay_chandola · January 4, 2013, 1:36pm

@karan20 said:
bhai...how did u arrived at N = 3232....32 times.....?

202*20002 = 4040404 (7 digits)

4040404*200000002 = 80808... 15 digits

80808... 15 digits* 2020202.. = 1616161616..

Generalize it. Total digits would be 64 and number will be of 32323232.... type. :)

karan20 · January 4, 2013, 1:40pm

@freebull said:
i m not getting this one properly..plz have a look at it and give me the explanation !

5.64....

Total tax payable : 19025

% of total income : 19025/337425 === 5.64%

karan20 · January 4, 2013, 1:45pm

@Subhashdec2 said:

10% of 110000=11000

20% of 37425=7485

18475/337425 *100=5.64

Bhai....aapne surcharge ( 1& 2% ) nahi consider kiya .....:)