Challenge Prelims V1.0 – Day 45 – CSAT Paper

1. There are two containers X and Y. X contains 100ml of milk and Y contains 100ml of water. 20 ml of milk is transferred from X is transferred to Y. After mixing well, 20ml of this mixture in Y is transferred back to X. If m denotes the proportion of milk in X and n denotes the proportion of water in Y, then which of the following is correct? (UPSC 2022)

2. School X has 3 classes, A, B and C. The average score of Class B is 16 more than the average score of class C. The strengths of Classes A, B and C are in the ratio 2:3:5, respectively. If the average score of the school 2 less than the average score of Class A, Find the difference between average of class A and class C.

3. Find the ratio in which tea costing Rs192 per Kg is to be mixed with tea costing Rs150 per Kg so that mixed tea when sold for Rs194.4 per Kg gives a profit of 20%

4. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both vessel needs to be mixed to obtain a mixture consisting of half milk and half water?

5. A started a business by investing Rs2000. After two months B joined the business by investing Rs2000. After 2 more months C joined the business by investing Rs2000. At the end of 10 months they made a profit of 1200. Then find the amount of profit received by C?