# Mathematics Questions for CDS & AFCAT: 17th January

**Q1. The perimeter of one square exceeds that of another by 100 m and the area of the larger square exceeds three times that of smaller one by 325 m2. The length of side of smaller square is**

(a) 30 m

(b) 55 m

(c) 60 m

(d) 25 m

**Q2. ABCD is a rectangle of which AC is a diagonal. The value of ∠CAD+1 ∠BAC is:**

(a) 2

(b) 14

(c) 1

(d) 0

**Q3. The ratio for the measure of an angle of a regular nonagon to the measure of its exterior angle is:**

(a) 3 : 5

(b) 5 : 2

(c) 7 : 2

(d) 4 : 5

**Q6. A rice trader buys 22 quintals of rice for Rs. 3,344.24% rice is lost in transportation. At what rate should he sell to earn 30% profit?**

(a) Rs. 88.86 per quintal

(b) Rs. 197.6 per quintal

(c) Rs. 269.2 per quintal

(d) Rs. 260 per quintal

**Q7. A missile travels at 1350 km/h. How many metres does it travel in one second?**

(a) 369 metres

(b) 375 metres

(c) 356 metres

(d) 337 metres

**Q8. The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 16% per annum is Rs 320. What is the value of given sum (in Rs)?**

(a) 25000

(b) 50000

(c) 37500

(d) 12500

**Q9. Of the 5 numbers whose average is 76, the first is 3/7 times the sum of other 4. The first number is**

(a) 171

(b) 114

(c) 76

(d) 228

**Q10. Marked price of an item is Rs 400. On purchase of 1 item discount is 6% and on purchase of 4 items discount is 24%. Rachita buys 5 items, what is the effective discount?**

(a) 34 percent

(b) 28.56 percent

(c) 12.8 percent

(d) 23.25 percent

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