# Mathematics Questions for NDA, CDS & CAPF: 17th 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. Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey, 80 played cricket and basketball and 40 played cricket and hockey; 24 played all the three games. The number of boys, who did not play any game is**

(a) 128

(b) 216

(c) 240

(d) 160

**Q3. The angle of elevation of the top of a tower standing on a horizontal plane from two points on a line passing through the foot of the tower at distances 49 m and 36 m are 43° and 47°, respectively. What is the height of the tower?**

(a) 40m

(b) 42m

(c) 45m

(d) 47m

**Q5. If (m+1)th, (n+1)th and (r+1)th terms of an AP are in GP and m, n, r are in HP, then the ratio of the first term of the AP to its common difference in terms of n is equal to**

(a) n/2

(b) -n/2

(c) n/3

(d) -n/3

**Q6. Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with value 1. Let C be the subset of the set of all determinants with value -1. Then,**

(a) C is empty

(b) B has as many elements as C

(c) A = B ∪ C

(d) B has twice as many elements as C

**Q7. Let A = {a, b, c, d} and B = {x, y, z). What is the number of elements in A × B?**

(a) 6

(b) 7

(c) 12

(d) 64

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**Q8. Two poles are 10 m and 20 m high. The line joining their tops makes an angle of 15° with the horizontal. The distance between the poles is approximately equal to**

(a) 36.3 m

(b) 37.3 m

(c) 38.3 m

(d) 39.3 m

**SOLUTIONS**

**S2. Ans.(c)**

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