# Mathematics Questions for CDS & CAPF: 16th 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. The profit percentage on the three articles A, B and C is 10%, 20% and 25% and the ratio of the cost prices is 1 : 2 : 4. Also the ratio of number of articles sold of A, B and C is 2 : 5 : 2 then the overall profit percentage is -**

(a) 21%

(b) 43%

(c) 25%

(d) 12%

**Q2. In a certain town, 20% families own a phone. 10% own a car and 65% own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard?**

(I) 10% families own both a car and a phone.

(II) 35% families own either a car or a phone.

(III) 40,000 families live in the town.

Which of the above statements are correct?

(a) I and II

(b) II and III

(c) I and III

(d) I, II and III

**Q3. At a college entrance examination each candidate is admitted or rejected according to whether he has passed or failed the test. Of the candidates who are of type A, 80% pass the tests and of type B, 25% pass the tests. Given that 40% of the candidates are of type A, then the percentage of college students of type A who got admitted are about**

(a) 44%

(b) 76%

(c) 68%

(d) 55%

**Q4. A sales executive’s commission is 5% on all sales up to Rs. 10,000 and 4% on all sales exceeding this. He remits Rs. 31,100 to his parent company after deducting his commission. His sales was worth (in Rs)?**

(a) 21,600

(b) 30736

(c) 20736

(d) 32,500

**Q5. A water tank is 2/5 full. Pipe A can fill the tank in 10 min and pipe B can empty it in 6 min. If both the pipes are open, how long will it take to empty or fill the tank?**

(a) 3.75 minutes

(b) 10 minutes

(c) 6 minutes

(d) 15 minutes

**Q6. Ratio of the number of sides of two regular polygons is 5 : 6 and the ratio of their each interior angle is 24 : 25. Then the number of sides of these two polygons are**

(a) 20,24

(b) 15, 18

(c) 10, 12

(d) 5, 6

**Q7. The base of a right prism is a trapezium. The lengths of the parallel sides are 8 cm and 14 cm and the distance between the parallel sides is 8 cm. If the volume of the prism is 1056 cm3, then the height of the prism is**

(a) 44 cm

(b) 16.5 cm

(c) 12 cm

(d) 10.56 cm

**SOLUTIONS**

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