# Mathematics Questions for CDS & AFCAT: 8th January (Solutions)

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.

**Q3.PT is a tangent of circle. AB is a chord of circle if AB = 18 cm and PT = 2 AP. Find length of PT.**

(a) 6 cm

(b) 9 cm

(c) 8 cm

(d) 12 cm

**Solutions(1-5)**

**Q6. The captain of a famous club Hockey team of eleven members is 26 yrs old and the goal keeper is 3 yrs older than him. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?**

(a) 22 yrs

(b) 23 yrs

(c) 24 yrs

(d) 25 yrs

**Q7. The total monthly sales of two companies A and B are in the ratio 2 : 3 and their total monthly expenditures are in the ratio 3 : 4. Find the ratio of the profits of two companies given that company A’s profit is equal to one fifth of its sales.**

(a) 6 : 13

(b) 8 : 15

(c) 13 : 6

(d) 15 : 8

**Q8. Two equal glasses are 1/3 and 1/4 full of milk respectively. If they are completely filled up with water, the contents are then mixed up in another vessel. What will be the ratio of milk and water vessel?**

(a) 1 : 5

(b) 7 : 17

(c) 3 : 7

(d) 2 : 5

**Q9. A daily wage worker was paid Rs. 1700 during a period of 30 days. During this period he was absent for 4 days and was fined Rs. 15 per day for absence. He was paid the full salary only for 18 days as he came late on the other days. Those who came late were given only half the salary for that day. What was the total salary paid per month to a worker who came on time every day and was never absent?**

(a) Rs. 2250

(b) Rs. 2500

(c) Rs. 3000

(d) Rs. 2400

**Q10. Two trains start at the same time from point A and point B and proceed towards each other at the rate of 70 km/hr and 85 km/hr respectively. When they meet, it is found that first train has travelled 165 km less than the second. Find the distance between point A and point B.**

(a) 1507 km

(b) 1705 km

(c) 1750 km

(d) 1570 km

**Solutions(6-10):**

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