# Mathematics Questions for CDS & CAPF: 10th December

Dear Students, Defence Adda is providing you all with this quiz on Mathematics questions for CDS, AFCAT, CAPF and other Defence Examinations. The questions asked in Mathematics Section of most of the defence examinations are based on the topics from Mathematics of Class 11th and 12th. The questions asked in this section are complex and comparatively difficult but once attempted with high accuracy, can fetch you full marks in this section. Also, practice on a daily basis helps one dive into the core concepts of a subject and thus, help her perform to the best of her ability in the real examinations. So, attempt the daily quizzes being provided by Defence Adda and score to the maximum in the Mathematics Section of all sorts of defence examinations.

**Q1. The sum of the squares of three consecutive natural numbers is 2030, then find out the middle number.**

(a) 28

(b) 27

(c) 26

(d) 25

**Q2. What annual installment will discharge a debt of Rs. 6450 due in 4 years at 5% simple interest?**

(a) Rs. 1500

(b) Rs. 1950

(c) Rs. 1935

(d) Rs. 1835

**Q3. A, B and C complete a work costing Rs.1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio 5 : 6 : 4, how much amount will be received by A?**

(a) Rs. 750

(b) Rs. 800

(c) Rs. 600

(d) Rs. 900

**Q4. A starts business with Rs. 3500 and after 5 months, B joins A as his partner. After one year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?**

(a) Rs. 7000

(b) Rs. 8000

(c) Rs. 8500

(d) Rs. 9000

**Q5. Two boats A and B start towards each other from two places, 108 km apart. Speeds of the boats A and B in still water are 12 km/hr and 15 km/hr respectively. If A proceeds down and B up the stream, they will meet after-**

(a) 4 hours

(b) 5.6 hours

(c) 7 hours

(d) 4.5 hours

**Q8. The side AB of a parallelogram ABCD is produced to E in such a way that BE = AB. DE intersects BC at Q. The point Q divides BC in the ratio**

(a) 2 : 3

(b) 1 : 1

(c) 2 : 1

(d) 1 : 2

**Q9. A wire when bent in the form of a square encloses an area of 484 sq.cm. What will be the enclosed area when the same wire is bent in the form of a circle? [Take Ï€=22/7]**

(a) 539 sq. cm.

(b) 462 sq. cm.

(c) 693 sq. cm.

(d) 616 sq. cm

**SOLUTIONS**

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