SSC CPO 2022 PYQ — Question 138

The correct answer is option 1 i.e. 41 : 92

We are provided with the ratios:-
41:92, 33:41, 42:49, 35:47

We can write each ratio in fraction form.

⇒ $41\over92$, $33\over41$, $42\over49$, $35\over47$

Thus for comparing the ratios, we will take the L.C.M of the denominators ⇒ 92, 41, 49, 47.

L.C.M = 8686916

Thus we will change the fractions with the same denominator.

Thus, the fractions would be
⇒$3871343\over8686916$, $6991968\over8686916$, $7445928\over8686916$, $6468980\over8686916$

⇒Thus the smallest fraction here is $3871343\over8686916$, which is equivalent to $41\over92$.

⇒ Thus smallest ratio is $41\over92$