NCRanjan wrote:

harshsaini wrote:

No of respondents = x

like movies 1/4x............

like to read 1/3*1/4 x= 1/12 x

not like to read 2/3 *1/4 x = 1/6x

Dont like movies 3/4 x

Dont like to read =a

like to read = b

statement 1

a= 110

Those who like to read can never be 70 as a= 110

hence statement 1 sufficient

statement 2

x= 480

those who dont like to watch movie and dont like to read = (1/6) * 480 = 80

those who dont like to read can never be 70

hence statement 2 is sufficient

answer is D option

Dont you think you have reversed like to read and dont like to read , like movies and dont like movies ?.

Also can you pls explain this statment

statement 1

a= 110

Those who like to read can never be 70 as a= 110

hence statement 1 sufficient

yes! you are right I jumbled the whole answer.

But now as I was attempting this question again. Here is the new solution.

Total respondents = x

dont like movie = 1/4 x

dont like to read = 1/6 x

like to read = 1/12 x

like movies = 3/4 x

dont like to read = a

like to read = b

to find = 1/6 x + a

statement 1

b = 110

a = 3/4 x - 110

now what we have to find is 1/6 x + a = 70

1/6 x + 3/4 x - 110 = 70

11/12 x = 180

( x is coming in decimal which cant be the case as x should always be the natural number)

hence statement 1 is sufficient ( please do tell whether my thought process is correct)

statement 2

total respondent = 480

dont like to read and dont like movies = 1/6 x= 80

and the one who dont like to read can never be 70

statement 2 sufficient

hence option D