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
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