Mathematics Questions for CDS & CAPF: 18th 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 sum of Rs 7700 is to be divided among three brothers Sahil, Sameer and Shailesh in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 years respectively remains equal. The share of Sahil is more than that of Shailesh by
(a) Rs 2800
(b) Rs 2500
(c) Rs 3000
(d) Rs 2700

Q2. An express train travels 299 km between two cities. During the first 111 km of the trip, the train travelled through mountainous terrain. The train travelled 10 km/hr slower through mountainous terrain than through level terrain. If the total time to travel between two cities was 7 hour, what is the speed of the train on level terrain?
(a) 56 km/hr
(b) 55 km/hr
(c) 47 km/hr
(d) 88 km/hr

Q3. In a survey, it was found that 65% of the people watched news on TV, 40% read newspaper, 25% read newspaper and watched TV both. What percentage of people neither watched TV nor read newspaper?
(a) 0%
(b) 5%
(c) 10%
(d) 20%

Q4. A solution of sugar syrup has 15% sugar. Another solution has 5% sugar. How many litres of the second solution must be added to 20L of the first solution to make a solution of 10% sugar?
(a) 10 L
(b) 5 L
(c) 15 L
(d) 20 L

Q5. An article is listed at Rs 65. A customer bought this article for Rs 56.16 with two successive discounts of which one is 10%. The other discount of this discount scheme that was allowed by the shopkeeper is
(a) 4%
(b) 3%
(c) 6%
(d) 2.5%

Q8. What is the height of a solid cylinder of radius 5 cm and total surface area is 660 sq. cm?
(a) 10 cm
(b) 12 cm
(c) 15 cm
(d) 16 cm

Q9. The curved surface area of a cylindrical pillar is 264 sq m and its volume is 924 m^3. The ratio of its diameter to its height is
(a) 7 : 3
(b) 3 : 7
(c) 7 : 6
(d) 6 : 7

Q10. Let BE and CF be the two medians of a ABC and G be their point of intersection, also let EF cuts AG at O. Then AO:OG is
(a) 1:1
(b)  1:2
(c)  2:1
(d)  3:1

SOLUTIONS