# Mathematics Questions for CDS & AFCAT: 27th December

**Q1. The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is-**

(a) Rs. 500

(b) Rs. 515

(c) Rs. 550

(d) Rs. 600

**Q2. If 7% of the sale price of an article is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of its cost price by Rs. 1, then what is the cost price of the article?**

(a) Rs. 400

(b) Rs. 350

(c) Rs. 300

(d) Rs. 280

**Q3. Two vessels contain spirit of 0.5 and 0.75 concentrations. If 2 l from the first vessel and 3 l from the second vessel are mixed, then what will be the ratio of the spirit and the water in the resultant solution?**

(a) 15 : 17

(b) 7 : 17

(c) 13 : 7

(d) 17 : 15

**Q6. A ladder, 25 m long is placed against a wall with its foot 7 m from the wall. How far should the foot be drawn out so that the top of the ladder may come down by the half the distance that the foot is drawn out?**

(a) 6 m

(b) 7 m

(c) 4 m

(d) 8 m

**SOLUTIONS**

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