Mathematics Questions for CDS & AFCAT: 29th 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.

Q2. XY and X’Y’ are two tangents to a circle with centre O and another tangent AB touching at C, intersects XY at A and X’Y’ at B. Find ∠AOB . If both tangents XY and X’Y’ are parallel.
(a) 60°
(b) 90°
(c) 30°
(d) 120°

Q6. In a classroom there are certain number of benches. If 6 students are made to sit on a bench, then to accommodate all of them, one more bench is needed. However, if 7 students are made to sit on a bench, then, after accommodating all of them, space for 5 students is left. What is the total number of students in the class?
(a) 30
(b) 42
(c) 72
(d) None of these

Q7. A man is 50 years old. His brother is 7 years older than him and his sister is 12 years younger than his brother. When his sister was 15 years old, then the men’s age was :
(a) 27 yrs
(b) 19 yrs
(c) 15 yrs
(d) 20 yrs

Q8. A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by. 
(a) 40%
(b) 39%
(c) 50%
(d) 20%

Q9. Reena borrowed Rs. 6,450 at 5 percent simple interest repayable in 4 equal installments. What will be the annual installment payable by him ?
(a) Rs. 1710
(b) Rs. 1800
(c) Rs. 1910
(d) Rs. 1860

Q10. The number obtained by interchanging the digits of a two-digit number is less than the original number by 63. If the sum of the digits of the number is 11, what is the original number?
(a) 29
(b) 92
(c) 74
(d) Cannot be determined



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