Mathematics Questions for CDS & CAPF: 20th November

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 value of
(13+23+33+⋯+153)-(1+2+3+⋯+15) is
(a) 1425
(b) 1125
(c) 1225
(d) 1325

Q2. Men, women and children are employed in the proportion of 1 : 2 : 3 to do a work and wages of each are in the proportion of 6 : 3 : 2. When 50 men are employed, total daily wages of all amounts to Rs. 4500. What are the weekly wages paid to a man, a women and a child (in rupees)?
(a) 210, 105, 80
(b) 210, 105, 70
(c) 210, 105, 90
(d) 200, 105, 70

Q4. A man rowed against a stream, flowing at 1.5 km/hr, to a certain point and then turned back, stopping 2 km short of the place from where he originally started. If the whole time occupied in rowing be 2 hr 10 min and his uniform speed in still water be 4.5 km/hr, the man went up the stream a distance of
(a) 4 km
(b) 8 km
(c) 7 km
(d) 5 km

Q5. In a class with a certain number of students, if one new student weighing 50 kg is added, then the average weight of the class increased by 1 kg. If one more student weighing 50 kg is added, then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?
(a) 46
(b) 42
(c) 27
(d) 47

Q8.  A sphere is cut into two hemispheres. One of them is used as bowl. It takes 8 bowlfuls of this to fill a conical vessel of height 12 cm & radius 6 cm. The radius of the sphere (in cm) is
(a) 3
(b) 2
(c) 4
(d) 6

Q9. ‘O’ is the centre of the circle, AB is a chord of the circle, OM⊥AB. If AB = 20 cm, OM = 2√11 cm. then radius of the circle is
(a) 15 cm
(b) 12 cm
(c) 10 cm
(d) 11 cm

SOLUTIONS