# Mathematics Questions for NDA, CDS & CAPF: Quiz-1

Dear Students, DefenceAdda 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 Defenceadda and score to the maximum in Mathematics Section of all sorts of defence examinations.

**Q1. The lines 2x = 3y = – z and 6x = – y = – 4z**

(a) are perpendicular

(b) are parallel

(c) intersect at an angle 45°

(d) intersect at an angle 60°

**Q6. The solution of the differential equation x**

^{2}y dy-(x dy-y dx)=0 is(a) x

^{2}y-2x=2Cy

(b) xy

^{2}-2y=2Cx

(c) xy

^{2}+2x=2Cy

(d) xy

^{2}+2y=2Cx

**Q8. Four dice (six faced) are rolled. The number of possible outcomes in which atleast one die shows 2 is**

(a) 1296

(b) 625

(c) 671

(d) None of these

**Q10. The smallest positive value of x (in degrees) for which tan (x + 100°) = tan (x + 50°) tan x tan(x – 50°) is**

(a) 60°

(b) 90°

(c) 45°

(d) 30°

**Q11. What is the number of proper subsets of a given finite set with n elements?**

(a) 2n–1

(b) 2n–2

(c) 2

^{n}-1
(d) 2

^{n}-2**Q12. Which one of the following functions, f∶R→R is injective?**

(a) f(x)=|x|,∀ x Ïµ R

(b) f(x)=x

^{2},∀ x Ïµ R
(c) f(x)=11,∀ x Ïµ R

**SOLUTIONS**

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