# Mathematics Questions for CDS & AFCAT: 15th January

**Q3. A vertical pole fixed to the ground is divided in the ratio 1 : 9 by a mark on it, the two parts subtend equal angles at a place on the ground, 15 m from the base of the pole. If the lower part be shorter than the upper one, find the height of the pole.**

(a) 133 m

(b) 134 m

(c) 135 m

(d) 132 m

**Q4. The quadrilateral, whose vertices are (–1, 1), (0, –3), (5, 2) and (4, 6) is**

(a) a square

(b) a rectangle

(c) a rhombus

(d) a parallelogram

**Q5. If one of the interior angles of a regular polygon is equal to 5/6 times of one of the interior angles of a regular pentagon, then the number of sides of the polygon is:**

(a) 3

(b) 4

(c) 6

(d) 8

**Q7. At 9% discount the selling price of a washing machine is Rs. 14000, what is the selling price if the discount is 22%?**

(a) Rs. 12000

(b) Rs. 9360

(c) Rs. 10202.4

(d) Rs. 13322.4

**Q8. Peeyush has done 1/3rd of a job in 30 days, Sanjiv completes the rest of the job in 60 days. In how days can they together do the job?**

(a) 15 days

(b) 45 days

(c) 30 days

(d) 10 days

**Q9. The first and last terms of an arithmetic progression are 33 and -57. What is the sum of the series if it has 16 terms?**

(a) –135

(b) –192

(c) –207

(d) –165

**Q10. The average weight of Sopan, Guruprasad and Rima is 65 kg. if the average weight of Sopan and Guruprasad be 67 kg and that of Guruprasad and Rima be 57 kg, then the weight of Guruprasad is**

(a) 60

(b) 53

(c) 58

(d) 63

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