Mathematics Questions for CDS & AFCAT: 15th January

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.

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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