# Mathematics Questions for CDS & AFCAT: 31st January

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.

**Q6. The average salary per head of all workers of an institution is Rs. 60. The average salary per head of 12 officers is Rs. 400. the average salary per head on the rest is Rs. 56. Then, the total number of workers in the institution is**

(a) 1030

(b) 1032

(c) 1062

(d) 1060

**Q7. While climbing a slippery pole which is 15 metre high, a monkey climbs 5 metre and slips down 3 metre respectively in alternate minute. To reach the top of the pole the monkey would take-**

(a) 15 minutes

(b) 14 minutes

(c) 12 minutes

(d) 11 minutes

**Q8. There are four prime numbers written in ascending order. The product of the first three is 385 and that of that of the last three is 1001. The first number is**

(a) 5

(b) 7

(c) 11

(d) 17

**Q9. Cost of ticket per person for a show for the 1st day is Rs. 15, for the second day it is Rs. 7.50 and for the 3rd day it is Rs. 2.50. Ratio of persons buying the tickets on the three days is 2 : 5 : 13. Find the average cost of ticket per person.**

(a) 5

(b) 6

(c) 12

(d) Can’t be determined

**Q10. The average age of 3 children in a family is 20% of the average age of the father and the eldest child. The total age of the mother and the youngest child is 39 yrs. If the father’s age is 26 yrs, what is the age of the second child?**

(a) 20 yrs

(b) 18 yrs

(c) 12 yrs

(d) Cannot be determined

**SOLUTIONS**

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