# Mathematics Questions for CDS & AFCAT: 10th January(Solutions)

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. The perimeters of two squares are 40 cm and 24 cm. The perimeter of a third square, whose area is equal to the difference of the area of these squares, is**

(a) 34 cm

(b) 32 cm

(c) 38 cm

(d) 30 cm

**Q2. Two right circular cylinders of equal volume have their heights in the ratio 1 : 2. The ratio of their radii is:**

(a) √2:1

(b) 2 : 1

(c) 1 : 2

(d) 1 : 4

**Q3. If (tanA tanB)/(1 + tanAtanB) = x, then the value of x is**

(a) tan (A B)

(b) tan (A + B)

(c) cot (A B)

(d) cot (A + B)

**Q4. If 2x –2(x –2) < 5 – x > – 2x + 2; then the value of x can be**

(a) 0

(b) 2

(c) 3

(d) –4

**Q5. In Î”ABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 9 cm, 6 cm and 5.4 cm respectively find length of BC?**

(a) 3.6 cm

(b) 4.8 cm

(c) 11.2 cm

(d) 9 cm

**Solutions(1-5)**

**Q6. Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 5720, then what is the share (in Rs) of Raman?**

(a) 2520

(b) 1260

(c) 2600

(d) 2460

**Q7. After deducting 60% from a certain number and then deducting 15% from the remainder, 1428 is left. What was the initial number?**

(a) 4200

(b) 3962

(c) 4150

(d) 4300

**Q8. A local train travels 40% faster than a car. Both start from point A at the same time and reach point B, 140 km away at the same time. On the way the train takes 25 minutes for stopping at the stations. What is the speed (in km/hr) of the train?**

(a) 67

(b) 134.4

(c) 145.9

(d) 160

**Q9. Guru Randhawa lent Rs 10800 to Jasbir for 3 years and Rs 7500 to Kaisey for 2 years on simple interest at the same rate of interest for start a telephone business and received Rs 1422 in all from both of them as interest. The rate of interest per annum is**

(a) 3.5 percent

(b) 4 percent

(c) 3 percent

(d) 4.5 percent

**Q10. A thief is stopped by a policeman from a distance of 150 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 7.75 km/hr and that of policeman as 9.75 km/hr, how far the thief would have run, before he is over- taken by the policeman?(approx)**

(a) 420 metres

(b) 630 metres

(c) 525 metres

(d) 581 metres

**Solutions(6-10)**

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