# Mathematics Questions for CDS & AFCAT: 20th 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. What is the difference between the discount of 40% and two successive discounts of 36% and 4% in a bill of Rs. 100,000?**

(a) Nothing

(b) Rs. 1440

(c) Rs. 2500

(d) Rs. 4000

**Q2. In how many years simple interest obtained on Rs. 8000 at 3% per annum will be equal simple interest on Rs. 6000 at 4% for 5 years?**

(a) 4 years

(b) 5 years

(c) 6 years

(d) 8 years

**Q3. The entrance ticket of an exhibition was Rs. 5. Later it was decreased by 20% and thus the sale amount is increased by 44%. What was the percentage increase in the number of visitors?**

(a) 64%

(b) 24%

(c) 80%

(d) 20%

**Q5. If the two circles be described on the bounding radii of a quadrant of a circle whose radius is 10 m, as diameters, find the area of the figure common to both the circles.**

(a) 14.26

(b) 8.38

(c) 9.46

(d) 12.26

**Q6. A field is in the form of an equilateral triangle of side 100 m. A horse is tied to a vertex of the field, with a 15 m long rope. Over what area can the horse graze?**

(a) 117.85

(b) 119.85

(c) 117.35

(d) 119.35

**Q7. A cone is 200 m high and its slant height is inclined at 30° to the horizon. Find the area of its curved surface.**

(a) 435213.85

(b) 453312.25

(c) 453213.66

(d) 435474.29

**Q8. The ratio between a two digit number and the sum of its digits is 4 : 1. If the digit at unit place is three more than digit at tenth places, Then the number is**

(a) Between 30 to 40

(b) Between 40 to 50

(c) Between 50 to 60

(d) Between 80 to 90

**SOLUTIONS**

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