Mathematics Questions for AFCAT & CAPF: 9th 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. Point P and Q lies on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ and triangle ABC is 9 : 16, then what is the square of ratio of AP : PB?
(a) 3 : 1 
(b) 9 : 4
(b) 9 : 16 
(d) 9 : 1

Q2. (cosecA – sinA) (secA – cosA) (tanA + cotA) is equals to 
(a) 2
(b) 0
(c) 1
(d) 12

Q3. One diagonal of a rhombus is half the other. If the length of the side of the rhombus is 10 cm, what is the area of the rhombus? 
(a) 75 3 sq cm
(b) 25 3 sq cm
(c) 80 sq cm
(d) 160 sq cm

Q4. What is the area (in sq cm) of an equilateral triangle of side 14 cm?
(a) 49√3
(b) 98√3
(c) (49/2)√3
(d) (49/4)√3

Q5. What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?
(a) -3
(b) 3
(c) -1/3
(d) 1/3

Q6. What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion?
(a) 10
(b) 12
(c) 8
(d) 6

Q7. A batsman makes a score of 95 runs in the 13th match and thus increases his average runs per match by 4. What is his average after the 13th match?
(a) 47
(b) 43
(c) 45
(d) 49

Q8. A vendor buys bananas at 12 for Rs 50 and sells at 5 for Rs 40. What will be the gain (in %)?
(a) 82
(b) 72
(c) 92
(d) 62

Q9. Two labourers A and B are paid a total of Rs. 750 per day. If A is paid 150 percent of what is paid to B, how much (in Rs) is B paid?
(a) 450
(b) 250
(c) 300
(d) 500

Q10. A man travelled a distance of 50 km in 8 hours. He travelled partly on foot at 5 km/hr and partly on bicycle at 7 km/hr. What is the distance (in kms) travelled on foot?
(a) 20
(b) 25
(c) 15
(d) 30


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