# Mathematics Questions for CDS & CAPF: 9th 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. A railway ticket monthly pass costs 25 percent more than a single ticket. A week’s extension can be done for the former by paying 5 percent of the monthly pass’s cost. If the money paid for the monthly pass (with extensions) is Rs. 84, then the price of the single ticket is?**

(a) Rs. 88

(b) Rs. 30

(c) Rs. 83

(d) Rs. 64

**Q2. Free notebooks were distributed equally among children of a class. The no. of note books each child got was 1/8 th of the no. of children. Had the no. of children been halved, each child would have got 16 notebooks. How many notebooks were distributed?**

(a) 256

(b) 512

(c) 128

(d) None of these

**Q3. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs. 25 per piece. According to his estimates, even if 5% fail to pass the quality tests, he will make a profit of 25%. However as it turned out, 50% of the components were rejected. What is the loss of the manufacturer?**

(a) Rs. 13000

(b) Rs. 12500

(c) Rs. 15000

(d) Rs. 14750

**Q7. A is three times more efficient worker than B therefore, able to complete a work in 60 days less than B. The number of days, that A and B together will take to complete the work is**

(a) 22 1/2 days

(b) 25 days

(c) 27 1/2 days

(d) 30 days

**Q9. The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends in the major segment of the circle is equal to-**

(a) 60°

(b) 30°

(c) 45°

(d) 90°

**Q10. A conical vessel whose internal radius is 12 cm and height 50 cm is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-**

(a) 25 cm

(b) 20 cm

(c) 24 cm

(d) 22 cm

**SOLUTIONS**

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