# Mathematics Questions for CDS & CAPF: 3rd 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.

**Q1. Water flows in a tank 150m × 100m at the base, through a pipe whose cross-section is 2 dm by 1.5 dm, at the speed of 15 km per hour. In what time will the water be 3 metres deep?**

(a) 100 hours

(b) 120 hours

(c) 140 hours

(d) 150 hours

**Q2. A pipe can fill a tank in 8 minutes and another pipe can empty 6 kilolitres of water in 1 minute. If both the pipes are opened together the empty tank can be filled up in 20 minutes. The capacity of the tank (in kilolitres) is**

(a) 50

(b) 60

(c) 75

(d) 80

**Q3. A man rides at the rate of 350 metres per minute and stops 6 minutes to change horses at the end of every sixth kilometre. Then to travel a distance of 84 km, the time taken by the man is**

(a) 3 hr. 15 min

(b) 6 hr. 17 min

(c) 5 hr. 18 min

(d) 2 hr. 17 min

**Q4. A steam engine can run at a speed of 24 km/hr without any coach. The decrease in the speed of the engine is directly proportional to the square root of the number of coaches attached. With 4 coaches speed of the engine becomes 20 km/hr. Find the number of coaches that can be exactly pulled by the engine.**

(a) 143

(b) 144

(c) 142

(d) 141

**Q5. A runs two times faster than B and B runs three times faster than C. If C covers any distance in 1 hour 54 minutes, the time taken by B to cover the same distance is**

(a) 19 minutes

(b) 38 minutes

(c) 51 minutes

(d) 57 minutes

**Q7. ABCD is a square. The diagonals AC and BD meet at O. Let K and L be the points on AB such that AO = AK, BO = BL. If ∠𝜃= LOK, then what is the value of tan𝜃 ?**

(a) 13

(b) 3

(c) 1

(d) 12

**Q8. Diagonals of a trapezium ABCD with AB ‖ DC intersect each other at the point O. If AB = 2CD, find the ratio of the areas of triangles AOB and COD.**

(a) 2 : 3

(b) 4 : 1

(c) 1 : 2

(d) 3 : 2

**Q9. A square field of area 31684 sq. m is to be surrounded by the barbed wire. The wire to be fixed at the height of 1, 2, 3 & 4 m above the ground. If the length of the wire required to cover the field once is 5% more than the actual length, then how long the wire will be required?**

(a) 2390.4 m

(b) 2590.6 m

(c) 2785.8 m

(d) 2990.4 m

**SOLUTIONS**

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