CAT (QA) PYQs

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

Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is $70\%$. His share of profit decreases by Rs. $420$ if the overall profit goes down from $18\%$ to $15\%$. Chintu's share of profit increases by Rs. $80$ if the overall profit goes up from $15\%$ to $17\%$. The amount, in INR, invested by Bobby is

In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by $6$. The revised scores of Anjali, Mohan, and Rama were in the ratio $11:10:3$. Then Anjali's score exceeded Rama's score by