Mathematics Questions for CDS & CAPF: 11th December

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. The sum of 9 + 16 + 25 + 36 + ………. + 100 is equal to-
(a) 380
(b) 350
(c) 420
(d) 400

Q2. Four years ago, the ratio of the ages of Dinesh and Kartik was 2 : 3 and after four years it will become 5 : 7. Find their present ages.
(a) 32 years and 48 years
(b) 40 years and 56 years
(c) 36 years and 40 years
(d) 36 years and 52 years

Q4. One flies a kite with a thread 150 metre long. If the thread of the kite makes an angle of 60° with the horizontal line, then the height of the kite from the ground (assuming the thread to be in a straight line) is-
(a) 50 metre
(b) 75√3 metre
(c) 25√3 metre
(d) 80 metre

Q5. In a regular polygon, the exterior and interior angles are in the ratio 1 : 4. The number of sides of the polygon is
(a) 10
(b) 12
(c) 15
(d) 16

Q6. The circumcentre of a triangle ABC is O. If ∠BAC=85° and ∠BCA=75°, then the value of ∠OAC is
(a) 40°
(b) 60°
(c) 70°
(d) 90°

Q7. In an examination 80% candidates passed in English and 85% candidates passed in mathematics. If 73% candidates passed in both these subjects, then what percent of candidates failed in both the subjects?
(a) 35%
(b) 27%
(c) 15%
(d) 8%

Q8. A can do a piece of work in 40 days. He starts working, but having some other engagements he drops out after 5 days. Thereafter, B completes this remaining  work in 21 days. How many days would A and B take to complete this work working together?
(a) 16 days
(b) 15 days
(c) 17 days
(d) 11 days

Q9. The average marks of a student in 8 subjects is 87. Of these, the highest marks is 2 more than the one next in value. If these two subjects are eliminated, the average marks of the remaining subjects is 85. What is the highest marks obtained by him?
(a) 94
(b) 91
(c) 89
(d) 96

Q10. A man invested Rs. 8000 for a year in the share market. At the end of the year, he gained 15% and he invested the amount with profit again for the second year. At the end of the second year, he suffered a loss of 15%. Find the gain or loss per cent in the investment after two years.
(a) Gain 3.25%
(b) Loss 2.25%
(c) No loss no gain
(d) Loss 5%

SOLUTIONS