# Mathematics Questions for CDS & AFCAT: 13th January (SOLUTIONS)

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.

**Q5. The average of 3 consecutive even numbers is A. If next 6 even numbers are added, then what is the average of these 9 numbers?**

(a) A + 3

(b) A + 4

(c) A + 5

(d) A + 6

**Q6. While selling an article for Rs. 18450, a person suffered a loss of 25%. At what price he should have sold the article (in Rs.) to earn a profit of 25% ?**

(a) Rs. 30750

(b) Rs. 55350

(c) Rs. 24600

(d) Rs. 27675

**Q7. The compound interest on a sum of Rs. 10,000 at 8% per annum for 9 months when interest is compounded quarterly is :-**

(a) Rs. 600

(b) Rs. 612

(c) Rs. 612.08

(d) Rs. 612.48

**Q8. What is the sum of the ﬁrst 13 terms of an arithmetic progression if the 5th term is 1 and the 8th term is -17?**

(a) -140

(b) 61

(c) -143

(d) 166

**Q9. A fraction becomes 6/5 when 5 is added to its numerator and becomes 1/2 when 4 is added to its denominator. What will be the double value of the fraction?**

(a) 8/9

(b) 7/5

(c) 7/10

(d) 6/11

**Q10. Amar can complete a work in 25 days and Pulkit can complete the same work in 20 days. Pulkit alone worked at it for 10 days and then left the work. In how many days will Amar alone complete the remaining work?**

(a) 1112

(b) 1212

(c) 1312

(d) 1412

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