# Mathematics Questions for CDS & CAPF: 2nd November

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. If the ratio between the sum of n terms of two arithmetic progressions is (7n + 1) : (4n + 27), find the ratio of their 11th terms:**

(a) 148 : 113

(b) 147 : 118

(c) 148 : 111

(d) 147 : 111

**Q2. A cistern can be filled by two pipes filling separately in 12 and 16 min respectively. Both pipes are opened together for a certain time but being clogged, only of full quantity water flows through the former and only through the latter pipe. The obstructions, however, being suddenly removed, the cistern is filled in 3 min from that moment. How long was it clogged before the full flow began?**

(a) 4.5 min

(b) 2.5 min

(c) 3.5 min

(d) 5.5 min

**Q3. A man’s income is increased by Rs. 1200 and at the same time, the rate of tax to be paid is reduced from 12% to 10%. He now pays the same amount of tax as before. What is his increased income, if 20% of his income is exempted from tax in both cases?**

(a) Rs. 6300

(b) Rs. 7200

(c) Rs. 4500

(d) Rs. 6500

**Q4. Ravi gave Rs. 1200 on loan. Some amount he gave at 4% per annum simple interest and remaining at 5% per annum simple interest. After two years, he got Rs. 110 as interest. Then, the amounts given at 4% and 5% per annum simple interest respectively are:**

(a) Rs. 500, Rs. 700

(b) Rs. 400, Rs. 800

(c) Rs. 800, Rs. 400

(d) Rs. 1100, Rs. 100

**Q5. The ratio of the amount for two years under CI annually and for one year under SI is 6 : 5. When the rate of interest is same, then the value of the rate of interest is:**

(a) 12.5%

(b) 18%

(c) 20%

(d) 16.66%

**Q8. The base of a triangular wall is 7 times its height. If the cost of painting the wall at Rs. 350 per 100 sq m is Rs. 1225, then what is the base length?**

(a) 50 m

(b) 70 m

(c) 75 m

(d) 100 m

**Q9**.

**What are dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cm**?

^{3}, surface area 484 sq cm and the area of the base 72 sq cm

(a) 9, 8 and 10 cm

(b) 12, 6 and 10 cm

(c) 18, 4 and 10 cm

(d) 30, 2 and 12 cm

**SOLUTIONS**

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