# Mathematics Questions for AFCAT & CAPF: 10th 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. 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

**Q2. 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)

**Q3. Δ ABC is right angled at B. If ∠A = 60°, then what is the value of 3√2(sec C.sin A)?**

(a) 2/√3

(b) √3/2

(c) 2/3

(d) 3√2

**Q4. If Tan θ = 7/24, then what is the value of 2Sec θ?**

(a) 24/25

(b) 24/7

(c) 25/7

(d) 25/12

**Q5. In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?**

(a) 50

(b) 60

(c) 80

(d) 100

**Q6. The compound interest earned in two years at 8% per annum is Rs 4160. What is the sum (in Rs) invested?**

(a) 24000

(b) 25000

(c) 30000

(d) 20000

**Q7. Sum of twice a fraction and 5 times its reciprocal is 7. What is the fraction?**

(a) 2/5

(b) 5/4

(c) 5/2

(d) 4/5

**Q8. A, B and C can ﬁnish a job working alone in 12, 8 and 24 days respectively. In how many days they can ﬁnish the job if they worked together?**

(a) 5

(b) 6

(c) 4

(d) 3

**Q9. What is the effective discount (in %) on two successive discounts of 20% and 10%?**

(a) 30

(b) 32

(c) 35

(d) 28

**Q10. Proﬁt of Rs 1,03,500 has to be divided between three partners A, B and C in the ratio 11:7:5. How much amount (in Rs) does B get?**

(a) 22,500

(b) 49,500

(c) 50,500

(d) 31,500

**SOLUTIONS**

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