# Mathematics Questions for CDS & AFCAT: 1st January

**Q6. An Insurance employer reduces the number of his employees in the ratio 9 : 8 and increases their wages in the ratio 14 : 15. If the original wage bill was Rs. 18,900, find the ratio of decreased wage and original wage.**

(a) 20 : 21

(b) 21 : 29

(c) 20 : 19

(d) 19 : 21

**Q7. The respective ratio between the present ages of Roshan and Rakesh is 6: 11. Four years ago, the ratio of the ages was 1: 2 respectively. What will be Rakesh’s age after five years?**

(a) 45 years

(b) 29 years

(c) 49 years

(d) Cannot be determined

**Q9. A tank has a leak which would empty the completely filled cistern in 20 hours. If the tank is full of water and a tap is opened which admits 2 liters of water per minute in the tank, the leak now takes 30 hours to empty the tank. How many liters of water does the tank hold?**

(a) 2400

(b) 4500

(c) 1200

(d) 7200

**Q10. A started a business investing Rs. 250000 in year 2008. In year 2009 he invested an additional amount of Rs. 100000 and B joined him with an amount of Rs. 350000. In year 2010, A invested another additional amount of Rs. 100000 and C joined them with an amount of Rs. 350000. What will be B’s share in the profit of Rs. 1500000 earned at the end of three years from the start of the business in 2008?**

(a) Rs. 700000

(b) Rs. 500000

(c) Rs. 450000

(d) Rs. 750000

**SOLUTIONS**

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