# Mathematics Questions for NDA, CDS & CAPF: 15th August

Dear Students, Defence Adda is providing you all with this quiz on Mathematics questions for NDA, CDS, AFCAT, CAPF and other Police 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 Mathematics Section of all sorts of defence examinations.

**Q1. What is the sum of the squares of direction cosines of X-axis?**

(a) 0

(b) 1/3

(c) 1

(d) 3

**Q5. A class consists of 3 sections A, B and C with 35, 35 and 30 students, respectively. The arithmetic means of the marks secured by students of sections A and B who appeared for a test of 100 marks are 74 and 70, respectively. The arithmetic mean of the marks secured by students of section C, who appeared for a test in the same subject which carried 75 marks is 51. What is the average percentage of marks secured by all the 100 students of the three sections?**

(a) 70

(b) 70.80

(c) 65

(d) 67.50

**Q6. The line 2y=3x+12 cuts the parabola 4y=3 x². what is the area enclosed by the parabola, the line and the Y-axis in the first quadrant?**

(a) 7 sq. units

(b) 14 sq. units

(c) 20 sq. units

(d) 21 sq. units

**Q7. Under which one of the following conditions does the circle x² + y² + 2gx +2fy + c = 0 meet the x-axis in two points on opposite sides of the origin?**

(a) c > 0

(b) c < 0

(c) c = 0

(d) c≤ 0

**Q8. What is the sum of the coefficients in the expansion of (1 +x)**

^{n}

**?**

(a) 2n

(b) 2

^{n}-1
(c) 2

^{n}+1
(d) n+1

**SOLUTIONS**

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