CAT (QA) PYQs

If $a$ and $b$ are integers of opposite signs such that $(a+3)^{2}: b^{2}=9: 1$ and $(a-1)^{2}:(b-1)^{2}=4: 1$, then the ratio $a^{2}: b^{2}$ is

When Rajesh's age was same as the present age of Garima, the ratio of their ages was 3: 2. When Garima's age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima will become

Rajesh and Vimal own $20$ hectares and $30$ hectares of agricultural land, respectively, which are entirely covered by wheat and mustard crops. The cultivation area of wheat and mustard in the land owned by Vimal are in the ratio of $5 : 3$. If the total cultivation area of wheat and mustard are in the ratio $11: 9$, then the ratio of cultivation area of wheat and mustard in the land owned by Rajesh is