# Mathematics Questions for CDS & CAPF: 24th 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.

**Q1. 4/5 th of the voters in Amethi promised to vote for Rahul Gandhi and the rest promised to vote for Varun Gandhi. Of these voters, 10% of the voters who had promised to vote for Rahul Gandhi, did not vote on the election day, while 20% of the voters who had promised to vote for Varun Gandhi did not vote on the election day. What is the total no. of votes polled if Rahul Gandhi got 216 votes?**

(a) 200

(b) 300

(c) 264

(d) 100

**Q2. A publisher printed 2000 copies of a book at a cost Rs 70,000. He distributes 400 copies free as specimen copies. He gave 30% discount on printed price and the printed price of each book is Rs 75. What is his gain or loss percentage?**

(a) 20% gain

(b) 20% loss

(c) 10% loss

(d) 10% loss

**Q3. A, B and C started a business by investing Rs 40500, Rs 45000 and Rs 60000 respectively. After 6 months C withdrew Rs 15000 while A invested Rs 4500 more. In annual profit of Rs 56100, the share of C will exceed that of A by**

(a) Rs 900

(b) Rs 1100

(c) Rs 3000

(d) Rs 3900

**Q4. The base radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3 . the ratio of their volumes is :**

(a) 27 : 20

(b) 20 : 27

(c) 9 : 4

(d) 4 : 9

**Q5. The slant height of a conical mountain is 2.5 km and the area of its base is 1. 54 km2. Taking Ï€=22/7, the height of the mountain is :**

(a) 2.2 km

(b) 2.4 km

(c) 3 km

(d) 3. 11 km

**Q7. The average weight of a group of 45 girls was calculated as 67 kg. It was later discovered that the weight of one of the girls was read as 45 kg, whereas her actual weight was 55 kg. What is the actual average weight(in kg) of the group of 45 girls ? (Rounded off to two-decimal places)**

(a) 68.10

(b) 67.36

(c) 68.16

(d) 67.22

**SOLUTIONS**

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