# Mathematics Questions for CDS & AFCAT: 18th 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. Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8 : 6 : 3. The fares of 1st and 2nd class were subsequently reduced by 1/6 and 1/12 respectively. If during a year the ratio between the passengers of 1st, 2nd and 3rd classes were 9 : 12 : 26 and total amount collected by the sale of tickets was Rs. 1088, then find the collection from the passengers of 1st class (in Rs)?**

(a) 320

(b) 775

(c) 480

(d) 540

**Q2. In a cricket team, the average age of 11 players is 28 years. Out of these, the average age of three groups of 3 players each are 25 years, 28 years and 30 years respectively. If in these groups the captain and the youngest players are not included and the captain is 11 years older than the youngest player, what is the age of the captain?**

(a) 35 years

(b) 59 years

(c) 46 years

(d) 24 years

**Q3. The areas of curved surface of a right circular cylinder and a sphere are equal. If the radii of the cylinder and the sphere be equal, then the ratio of their volumes will be**

(a) 2 : 3

(b) 3 : 2

(c) 3 : 4

(d) 4 : 3

**Q4. The adjacent sides of a parallelogram are 36 cm and 27 cm in length. If the distance between the shorter sides is 12 cm, then the distance between the longer sides is**

(a) 10 cm

(b) 12 cm

(c) 16 cm

(d) 9 cm

**Q5. The height of a solid right circular cylinder is 6 metres and three times the sum of the area of its two end faces is twice the area of its curved surface. The radius of its base, in metre, is**

(a) 4

(b) 2

(c) 8

(d) 10

**Q6. A can do a work in 60 days. He works for 15 days and later B alone completes the work in 30 days. In what time will they together complete the work?**

(a) 24 days

(b) 25 days

(c) 30 days

(d) 32 days

**Q7. A pump can fill a tank with water in 2 hours. Due to leakage in the tank it takes 2(1/3) hour to get filled with water. In how much time would it get empty due to leakage in filled tank?**

(a) 8 hours

(b) 7 hours

(c) 13/3 hours

(d) 14 hours

**Q8. Two trains running in opposite directions cross each other in 7 sec. If the length of one of the train is 150 m, then what will be the length of the other train if they are running at a speed of 50 km/h and 58 km/h respectively?**

(a) 60 m

(b) 120 m

(c) 125 m

(d) 100 m

**SOLUTIONS**

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