# Mathematics Questions for CDS & AFCAT: 29th December

**Q2. XY and X’Y’ are two tangents to a circle with centre O and another tangent AB touching at C, intersects XY at A and X’Y’ at B. Find ∠AOB . If both tangents XY and X’Y’ are parallel.**

(a) 60°

(b) 90°

(c) 30°

(d) 120°

**Q6. In a classroom there are certain number of benches. If 6 students are made to sit on a bench, then to accommodate all of them, one more bench is needed. However, if 7 students are made to sit on a bench, then, after accommodating all of them, space for 5 students is left. What is the total number of students in the class?**

(a) 30

(b) 42

(c) 72

(d) None of these

**Q7. A man is 50 years old. His brother is 7 years older than him and his sister is 12 years younger than his brother. When his sister was 15 years old, then the men’s age was :**

(a) 27 yrs

(b) 19 yrs

(c) 15 yrs

(d) 20 yrs

**Q8. A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.**

(a) 40%

(b) 39%

(c) 50%

(d) 20%

**Q9. Reena borrowed Rs. 6,450 at 5 percent simple interest repayable in 4 equal installments. What will be the annual installment payable by him ?**

(a) Rs. 1710

(b) Rs. 1800

(c) Rs. 1910

(d) Rs. 1860

**Q10. The number obtained by interchanging the digits of a two-digit number is less than the original number by 63. If the sum of the digits of the number is 11, what is the original number?**

(a) 29

(b) 92

(c) 74

(d) Cannot be determined

**SOLUTIONS**

## No comments