# Mathematics Questions for NDA, CDS & CAPF: 16th 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. If a line passes through the points (6, -7, -1) and (2, -3, 1), then what are the direction ratios of the line?**

(a) <4, -4, 2>

(b) <4, 4, 2>

(c) <-4, 4, 2>

(d) <2, 1, 1>

**Q2. Consider the following statements**

**I. The functions f(x) = [x], where [ ] is the greatest integer function defined on R, is continuous at all points except at x = 0.**

**II. The function f(x) = sin|x| is continuous for all x Ïµ R.**

**Which of the above statements (s) is/are correct?**

(a) Only I

(b) Only II

(c) Both I and II

(d) Neither I nor II

Q5.

**Consider the following statements.****I. If A and B are exhaustive events, then their union is the sample space.**

**II. If A and B are exhaustive events, then their intersection must be an empty event.**

**Which of the above statements is/are correct?**

(a) Only I

(b) Only II

(c) Both I and II

(d) Neither I nor II

**Q8. The number of words that can be formed from the letters of the word ‘INDRAPRASTHA’ when the vowels are never separated, is**

(a) 727560

(b) 725760

(c) 752760

(d) 757260

**SOLUTIONS**

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