# Mathematics Questions for CDS & CAPF: 30th 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.

**Q2. Copper and zinc are in the ratio 2 : 3 in 200 gms of an alloy. The quantity (in grams) of copper to be added to it to make the ratio 3 : 2 is**

(a) 100

(b) 120

(c) 125

(d) 150

**Q3. The average salary per head of all the workers of an office is Rs. 95. The average salary of 15 officers is Rs. 525 and the average salary of the rest is Rs. 85. Find the total numbers of workers?**

(a) 645

(b) 660

(c) 630

(d) None of these

**Q4. Two trains P and Q start at the same time in the opposite directions from two points and both the trains after crossing a certain point C arrives at Q and P after 3 1/2 and 4 4/5 hours respectively. At what speed is the second train Q running if the first is running at the speed of 8 km/hrs?**

(a) 6 km/hr

(b) 6 2/3 km/hr

(c) 7 km/hr

(d) None of these

**Q5. A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be–**

(a) 45 days

(b) 35 days

(c) 40 days

(d) None of these

**Q7. Ratio of area of triangle formed by straight lines 2x+3y=4 and 3x-y+5=0 with x-axis and y-axis is**

(a) 1 : 2

(b) 2 : 1

(c) 4 : 1

(d) None of these

**Q10.The ratio of length of each equal side and the third side of an isosceles triangle is 3 : 4. If the area of the triangle is 18√5 sq units, the third side is**

(a) 8√2 units

(b) 12 units

(c) 16 units

(d) 5√10 units

**SOLUTIONS**

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