# Mathematics Questions for CDS & AFCAT: 30th 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. A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6: 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then, the number of papers in which he got more than 50% marks is**

(a) 1

(b) 3

(c) 4

(d) 5

**Q7. Three girls Sangeeta, Namrata and Mandip are playing a game by standing on circle of radius 5 m drawn in a park. Sangeeta throws a ball to Namrata, Namrata to Mandip, Mandeep to Sangeeta. If the distance between Sangeeta and Namrata and between Namrata and Mandip is 6 m each, what is the distance between Sangita and Mandip ?**

(a) 7.6 m

(b) 8.6 m

(c) 9.6 m

(d) 4.6 m

**Q8. In the class of 100 students, the number of students passed in English is 46, in Maths is 46 and in commerce is 58. The number who passed in English and Maths in 16, Maths and commerce is 24 and English and commerce is 26, and the number who passed in all subjects is 7. Find the number of the students who failed in all the subjects.**

(a) 13

(b) 8

(c) 9

(d) 7

**Q9. A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min, but a third pipe can empty it in 6 min. The first two pipes are kept open for 5 min in the beginning and then the third pipe is also opened. Number of minutes taken to empty the cistern is**

(a) 38

(b) 22

(c) 42

(d) 45

**Q10. In a factory, there are equal number of women and children. Women work for 6 h a day and children for 4 h a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 6 h a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are**

(a) 5

(b) 3

(c) 4

(d) 9

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