CAT (QA) PYQs

An alloy is prepared by mixing three metals $A, B$ and $C$ in the proportion $3 : 4 :7$ by volume. Weights of the same volume of the metals $A, B$ and $C$ are in the ratio $5:2: 6.$ In $130$ kg of the alloy, the weight, in kg, of the metal $C$ is

Suppose, $C1, C2, C3, C4,$ and $C5$ are five companies. The profits made by $C1, C2,$ and $C3$ are in the ratio $9: 10: 8$ while the profits made by $C2, C4,$ and $C5$ are in the ratio $18:19:20$. If $C5$ has made a profit of Rs $19$ crore more than $C1$, then the total profit (in Rs) made by all five companies is

The ratio of the number of students in the morning shift and afternoon shift of a school was 13 : 9. After 21 students moved from the morning shift to the afternoon shift, this ratio became 19 : 14. Next, some new students joined the morning and afternoon shifts in the ratio 3 : 8 and then the ratio of the number of students in the morning shift and the afternoon shift became 5 : 4. The number of new students who joined is