1 .

# The greatest number by which 2300 and 3500 are divided leaving the remainders of 32 and 56 respectively, is :

[ A ]    42
[ B ]    84
[ C ]    136
[ D ]    168
 Answer : Option D Explanation : Ratio of number of boys to that of girls = 3 : 2 Let total boys = 300 So, girls = 200 Boys appeared for examination = 300 × $30\over100$ = 90 Girls appeared for examination = 200 × $70\over100$= 140 Villagers appeared for examination = 90 + 140 = 230 Villagers not appeared for examination = 500 – 230 = 270 Required ratio = 230 : 270 = 23 : 27