# Mathematics Questions for CDS & CAPF: 31st October

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. A woman sells to the first customer half her stock of apples and half an apple, to the second customer half an apple, and half of her remaining stock and so also to a third and to a fourth customer. She finds that she has now 15 apples left. How many apples she had at first?**

(a) 250

(b) 155

(c) 125

(d) 255

**Q2. There are 200 questions on a 3 hours examination. Among 200 questions, 50 are from Maths, 100 are from GK and 50 are from Science. He spent twice as much time on each Mathematics question as for each other question. How many minutes did he spend on Mathematics questions?**

(a) 36

(b) 72

(c) 100

(d) 60

**Q3. What will be the remainder when 19100 is divided by 20?**

(a) 19

(b) 20

(c) 3

(d) 1

**Q4. 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

**Q5. By selling an article at 80% of its marked price, a trader makes a loss of 10%. What will be the profit percentage if he sells it at 95% of its marked price?**

(a) 6.9

(b) 5

(c) 5.9

(d) 12.5

**Q6. The taxi charges in a city contain fixed charges and additional charge/km. The fixed charge is for a distance of upto 5 km and additional charge/km thereafter. The charge for a distance of 10 km is Rs. 350 and for 25 km is Rs. 800. The charge for distance of 30 km is**

(a) Rs. 800

(b) Rs. 750

(c) Rs. 900

(d) Rs. 950

**Q10. A took 15 s to cross a rectangular field diagonally walking at the rate of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68 m/min. Find the area of the field.**

(a) 45 sq m

(b) 35 sq m

(c) 60 sq m

(d) 30 sq m

**SOLUTIONS**

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