Mathematics Questions for AFCAT & CAPF: 13th 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. Two train 130 m and 110 m long, while going in the same direction. The faster train take one minute to pass the completely. If they are moving in opposite direction, they pass each other completely in 3 seconds. Find the speed of each train:
(a) 42 m/s, 38 m/s
(b)  38 m/s, 36 m/s
(c) 36 m/s, 44 m/s
(d) None of these

Q2. Five men and 2 boys, working together, can complete four times as much work per hour as a man and a boy completes working together. The work completed by a man and a boy should be in the ratio:  
(a) 1: 2
(b) 2: 1
(c) 1: 3
(d) 4: 1

Q4. Kaamran mixes 80 kg of sugar worth of Rs. 6.75 per kg with 120 kg worth of Rs. 8 per kg. At what rate shall he sell the mixture to gain 20%?  
(a) Rs. 7.50
(b) Rs. 9
(c) Rs. 8.20
(d) Rs. 8.85

Q5. When an amount is distributed amongst 14 girls, each of them gets Rs.160 more than the amount received by each girl in that condition when the same amount is distributed equally amongst 18 girls. Find the amount – 
(a) 10080
(b) 10070
(c) 5040
(d) 5000

Q6. 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√sq cm
(b) 25√ sq cm
(c) 80 sq cm
(d) 160 sq cm

Q7. 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

Q8. 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

 Q9. ΔABC is similar to ΔPQR. If ratio of perimeter of ΔABC : perimeter of ΔPQR is 5:9 and if PQ = 45 cm, then the length of AB (in cm) is?
(a) 15
(b) 20
(c) 25
(d) 16

Q10. What is the value of 3√2 [(1/√2) Cot 45° + (1/√3) Cosec 60°]?
(a) (√6 + 1)/√3
(b) √3
(c) (1 + 3√2)/√3
(d) (3 + 2√2)



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