# Mathematics Questions for CDS & CAPF: 7th 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.

**Q3. In a set of 5 numbers, the sum of two of these numbers is 6 more than the sum of the remaining three numbers, whereas the sum of these three numbers is two times of one of those two numbers. What definitely is one of those two numbers?**

(a) 18

(b) 12

(c) 16

(d) Data inadequate

**Q4. In Krishna engineering college the average salary of all engineering graduates from mechanical trade is Rs. 2.45 lakhs per annum and that of the engineering graduates from electronic trade is Rs. 3.56 lakhs per annum. The average salary of all mechanical and electronics graduates is Rs. 3.12 lakhs per annum. Find the least number of electronic graduates passing out from this institute.**

(a) 55

(b) 67

(c) None of these

(d) Cannot be determined

**Q5. A solution of Corex cough syrup has 15% sugar. Another solution has 5% sugar. How many liters of the second solution must be added to 20 litres of the first solution to make a solution of 10% sugar?**

(a) 5 litres

(b) 20 litres

(c) 16 litres

(d) 12 litres

**Q6. 1/3 and ¼ parts of two cans of equal volume are filled with milk. The cans are then filled to their capacity with water and the mixture of the two cans are poured in a big pot. The ratio of milk and the water in the pot is**

(a) 7 : 17

(b) 12 : 13

(c) 8 : 11

(d) 5 : 13

**Q7. The sum of first 10 terms of the series √2+√4+√8+⋯ is**

(a) 31(2+√2)

(b) 31(2-√2)

(c) 28(2+√2)

(d) 28(2-√2)

**Q8. A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 cm2. Which one of the following is correct ?**

(a) Both cube and cuboid can be painted

(b) Only cube can be painted

(c) Only cuboid can be painted

(d) Neither cube nor cuboid can be painted

**Q9. Weight of a solid metallic sphere of radius 4 cm is 4 kg. The weight of a hollow sphere made with same metal, whose outer diameter is 16 cm and inner diameter is 12 cm, is**

(a) 20.5 kg

(b) 15.5 kg

(c) 16.5 kg

(d) 18.5 kg

**SOLUTIONS**

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