# Mathematics Questions for CDS & AFCAT: 25th 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. Deepshikha covers 6 kms in 45 minutes. If she covers half the distance in 23rd of the time then, what speed should she maintain to cover the remaining distance in remaining time?**

(a) 12 km/hr

(b) 34 km/hr

(c) 16 km/hr

(d) 8 km/hr

**Q2. Find the sum of x and y for which the number 543xy should be divisible by 45.**

(a) 0

(b) 10

(c) 6

(d) 5

**Q3. The length and breadth of a plot are 35 m and 16 m respectively. If the rate of fencing is Rs. 7 per metre, what is cost of its fencing?**

(a) Rs. 3920

(b) Rs. 602

(c) Rs. 714

(d) Rs. 357

**Q4. The height of the room is 40% of its semi-perimeter. It cost Rs. 260 to paper the walls of the room with paper 50 cm wide at the rate of Rs. 2 per m allowing an area of 15 m² for doors and windows. The height of the room is:**

(a) 2.6m

(b) 3.9m

(c) 4m

(d) 4.2m

**Q6. The sum of the first 8 terms of a geometric progression is 6560 and the common ratio is 3. The first term is**

(a) 1

(b) 2

(c) 3

(d) 4

**Q7. Five litres of water is added to a certain quantity of pure milk costing Rs. 3 per litre. If by selling the mixture at the same price as before, a profit of 20% is made, what is the amount of pure milk in the mixture?**

(a) 10 lit.

(b) 25 lit.

(c) 30 lit.

(d) 35 lit.

**SOLUTIONS**

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