# Mathematics Questions for CDS & CAPF: 2nd 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. Half of 100 articles were sold at a profit of 20% and the rest at a profit of 40%. If all of the articles had been sold at a profit of 25%, the total profit would have been Rs. 100 less than earlier profit. The cost price of each article was**

(a) Rs. 10

(b) Rs. 15

(c) Rs. 20

(d) Rs. 30

**Q2. A cow is sold at a profit of 8%. If it was bought 20% less and sold at 40% profit, then the person gets Rs. 640 more than earlier. Find the CP of the cow.**

(a) Rs. 16000

(b) Rs. 18000

(c) Rs. 20000

(d) Rs. 14000

**Q3. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. The ratio of the daily work done by a man and a woman is**

(a) 11 : 1

(b) 7 : 4

(c) 5 : 3

(d) 9 : 8

**Q4. A takes twice as much time as B and thrice as much time as C to finish piece of work. Working together, they can finish the work in 2 days. The number of days required by B to do the work alone is**

(a) 4

(b) 6

(c) 8

(d) 12

**Q5. A man moves √2 x km East from his residence and then moves x km North. He then goes x km North-East and finally he takes a turn of 90° towards right and moves a distance x km and reaches his office. What is the shortest distance of the office from his residence?**

(a) (2√2+1) x km

(b) 3 x km

(c) 2√2 x km

(d) 3√2x km

**Q8. AB and CD are two parallel chords on the opposite sides of the centre of the circle. If AB = 10 cm, CD = 24 cm and the radius of the circle is 13 cm, then what is the distance between the chords?**

(a) 10 cm

(b) 17 cm

(c) 24 cm

(d) None of these

**Q9. The combined income of A, B and C is Rs. 14,400. Percentage of expenditure by them is 80%, 85% and 75% respectively. If their savings are in the ratio of 8 : 9 : 20, find their individual incomes.**

(a) 3200, 4800, 6400

(b) 3000, 4000, 7200

(c) 3500, 4300, 6400

(d) None of these

**SOLUTIONS**

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