# Mathematics Questions for CDS & CAPF: 27th 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.

**Q3. A cistern can be filled with water by a pipe in 5 hours and it can be emptied by a second pipe in 4 hours. If both the pipes are opened when the cistern is full, the time in which it will be emptied is**

(a) 9 hours

(b) 18 hours

(c) 20 hours

(d) 20 ½ hours

**Q4. A does half as much work as B in one sixth of the time. If together they take 10 days to complete a work, how much time shall B take to do it alone?**

(a) 70 days

(b) 30 days

(c) 40 days

(d) 50 days

**Q5. A and B have monthly incomes in the ratio 5 : 6 and monthly expenditures in the ratio 3 : 4. If they save Rs. 1800 and Rs. 1600 respectively, find the monthly income of B:**

(a) Rs. 3400

(b) Rs. 2700

(c) Rs. 1720

(d) Rs. 7200

**Q6. If the price of rice is reduced by 20%, one can buy 2 kg more for Rs. 100. The reduced price of rice is:**

(a) Rs. 50 per kg.

(b) Rs. 10 per kg

(c) Rs. 40 per kg.

(d) Rs. 5 per kg

**Q7. A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would run at its own speed?**

(a) 14 hours

(b) 7 hours

(c) 8 hours

(d) 16 hours

**Q8. The average age of 30 boys in a class is 15 years. One boy, aged 20 years, left the class, but two new boys came in his place whose ages differ by 5 years. If the average age of all the boys now in the class becomes 15 years, the age of the younger newcomer is:**

(a) 20 years

(b) 15 years

(c) 10 years

(d) 8 years

**Q9. The value of angles of a triangle are in arithmetic progression. Find the smallest angle.**

(a) 10°

(b) 20°

(c) 25°

(d) All above are possible

**Q10. If 5 men or 8 women can do a piece of work in 12 days, how many days will be taken by 2 men and 4 women to do the same work?**

(a) 15 days

(b) 13 ½ days

(c) 13 1/3 days

(d) 10 days

**SOLUTIONS**

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