 Mathematics Questions for AFCAT & CAPF: 4th February

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. ΔXYZ is similar to ΔPQR. If ratio of Perimeter of ΔXYZ and Perimeter of ΔPQR is 4:9 and if PQ = 27 cm, then what is ¾ of the length of XY (in cm)?
(a) 9
(b) 12
(c) 16
(d) 15

Q2. The measure of the four successive angles of a quadrilateral are in the ratio 7 : 11 : 7 : 11. The quadrilateral is a ______.
(a) trapezium
(b) rectangle
(c) parallelogram
(d) square

Q3. If sec (3x – 20°) = cosec (3y + 20°), then what is the value of tan (x + y)?
(a) 1
(b) 3
(c) 1/3
(d) 23

Q4. If cot A = n/(n + 1) and cot B = 1/(2n + 1), then what is the value of cot (A + B)?
(a) – 1
(b) 0
(c) 1
(d) 2

Q5. What is the difference of the cube and square of the common root of (x² – 12x + 35 = 0) and (y²+2y–63 = 0)?
(a) 100
(b) 243
(c) 294
(d) 263

Q7. If the digits of the age of Mr. Suman are reversed then the new age so obtained is the age of his wife. 1/11 of the sum of their ages is equal to the difference between their ages. If Mr. Suman is elder than his wife then find the ratio of their ages.
(a) 5 : 4
(b) 4 : 5
(c) 7 : 6
(d) 6 : 5

Q8. The sum of four numbers is 64. If you add 3 to first number, 3 is subtracted from the second number, the third is multiplied by 3 and the fourth is divided by 3, then all the results become equal. What is the difference between the largest and the smallest of the original numbers?
(a) 32
(b) 27
(c) 21
(d) None of these

Q9. A number is greater than the square of 44 and smaller than the square of 45. If one part of the no. is the square of 6 and the number is a multiple of 5, then find the number.
(a) 1940
(b) 2080
(c) 1980
(d) None of these

Q10. 1/5 of a number is equal to 5/8 of the second number. If 35 is added to the first number then it becomes 4 times of second number. What is the value of the second number?
(a) 125
(b) 70
(c) 40
(d) 25

SOLUTIONS S2. Ans.(c)
Sol.
Pair of opposite angles are equal in a parallelogram. Rectangle and square are also parallelogram but they have 90° angle at each corner.        