# Mathematics Questions for CDS & CAPF: 5th 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.

**Q3. Suppose ‘O’ is the incentre of ∆ABC. If ∠A=60°, Then the magnitude of ∠BOC is**

(a) 120°

(b) 90°

(c) 60°

(d) 100°

**Q4. Find the area of the triangle surrounded by, x-y=1,2x+y=8 and y-axis.**

(a) 27.5

(b) 18.5

(c) 13.5

(d) 17

**Q6. The driver of a car driving @ 36 kmph locates a bus 40 m ahead of him. After 20 seconds the bus is 60 m behind. The speed of the bus is**

(a) 36 kmph

(b) 20m/sec

(c) 72 m/sec

(d) 18 kmph

**Q7. The difference between simple and compound interest @ 10% per annum of a sum on Rs. 1000 after 4 years is**

(a) Rs. 31

(b) Rs. 32.16

(c) Rs. 40.40

(d) Rs. 64.10

**Q8. 24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. The first part is**

(a) 11

(b) 13

(c) 16

(d) 8

**Q9. The average of 15 numbers is 7. If the average of the first 8 numbers is 6.5 and the average of the last 8 numbers is 8.5, then the middle number is**

(a) 10

(b) 23

(c) 13

(d) 15

**Q10. A and B entered into a partnership with capitals in the ratio 4 : 5. After 3 months A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs. 760. A’s share in this profit is**

(a) Rs. 330

(b) Rs. 360

(c) Rs. 450

(d) Rs. 540

**SOLUTIONS**

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