Mathematics Questions for CDS & CAPF: 19th 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. How many zeroes are there at the end of the number obtained from 999!
(a) 250
(b) 207
(c) 247
(d) None of these

Q2. If a man and a boy can build one and a half walls in 1.5 days, then how many walls do 7 men build in 9 days if efficiency of a man and a boy are in ratio 2:1?
(a) 40
(b) 45
(c) 42
(d) 35

Q3. The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in unit²) of total surface areas of all small spheres?
(a) 31276
(b) 36194
(c) 25182
(d) 33264

Q4. In two types of brass, the ratio of copper to zinc are 7 : 3 and 13 : 7 respectively. If the two types of brass be melted and mixed in the ratio 4 : 1. A new type of brass is obtained. The ratio of copper to zinc in this new type of brass is-
(a) 69 : 31
(b) 6 : 4
(c) 67 : 32
(d) 4 : 5

SOLUTIONS