Mathematics Questions for CDS & CAPF: 6th 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. A trader has 50 kg of India Gate Classic rice, a part of which he sells at 10% profit and the rest at 5% loss. He gain 7% on the whole. How much rich was sold at 10% gain and how much rice was sold at 5% loss respectively?
(a) 40 kg and 15 kg
(b) 30 kg and 10 kg
(c) 35 kg and 40 kg
(d) 40 kg and 10 kg

Q2. A pilot flies an aircraft of Indigo at a certain speed for a distance of 800 km. He could have saved 40 min by increasing the average speed of the plane by 40 km/hr. Find the average speed of the aircraft.
(a) 200 km/hr
(b) 300 km/hr
(c) 240 km/hr
(d) None of these

Q3. A motor boat can travel at 10 km/hr in still water. It travelled 91 km downstream in a river and then returned, taking altogether 20 hrs. Find the rate of flow of the river.
(a) 6 km/hr
(b) 5 km/hr
(c) 8 km/hr
(d) 3 km/hr

Q4. A water booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m3. The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 min lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump ?
(a) 50 m3/min
(b) 60 m3/min
(c) 72 m3/min
(d) 36 m3/min

Q5. A contractor employed 25 laborers on a job. He was paid Rs. 275 for the work. After retaining 20% of this sum, he distributed the remaining amount amongst the laborers. If the number of men to women laborers was in the ratio 2 : 3 and their wages in the ratio 5 : 4, what wages did a woman laborer get ?
(a) Rs. 10
(b) Rs. 8
(c) Rs. 12
(d) Rs. 15

Q7. ABCD is a square & BEC is an equilateral triangle outside the square. DE and AE are produced. Then find the angle DEA.
(a) 60°
(b) 15°
(c) 30°
(d) 7 1/2°

Q8. If the base of a prism is a square and height is 15 cm. If total surface area is 608 cm2. Find its volume.
(a) 780 cm3
(b) 1000 cm3
(c) 880 cm3
(d) 960 cm3

Q9. If cos⁡ 47° +cos⁡ 73°+cos⁡x=0 , then the value of x=?
(a) 163
(b) 165
(c) 167
(d) 153

SOLUTIONS