 Mathematics Questions for CDS & CAPF: 12th December

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. A alone would take 8 hr. more to complete the job than if both A and B worked together. If B worked alone, he took 4 1/2 hr. more to complete the job than if A and B worked together. What time would they take if both A and B worked together?
(a) 8 days
(b) 5 days
(c) 2 days
(d) 6 days

Q2. There is a leak in the bottom of a cistern. Before the leak, it could be filled in 4 1/2 hr. It now takes 1/2 hr. longer. If the cistern is full, in how much time would the leakage empty the full cistern? Q53
(a) 23 hr.
(b) 35 hr.
(c) 52 hr.
(d) 45 hr.

Q3. The prime cost of an article is three times the value of the raw material used. The cost of raw materials increase in the ratio of 5 : 12 and manufacturing expenses in the ratio 4 : 5. The article, which originally cost Rs. 6, will now cost
(a) Rs. 10
(b) Rs. 17
(c) Rs. 20.50
(d) None of these

Q4. Three friends Anita, Bindu and Champa divided Rs. 1105 amongst them in such a way that if Rs. 10, Rs. 20 and Rs. 15 are removed from the sums that Anita, Bindu and Champa received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Champa receive?
(a) Rs. 495
(b) Rs. 510
(c) Rs. 480
(d) Rs. 375

Q5. The population of a colony was 3600 three years back. It is 4800 right now. What will be the population three years down the line, if the rate of growth of population has been constant over the years and has been compounded annually?
(a) 6000
(b) 6400
(c) 7200
(d) 9600 Q7. A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is
(a) 100 m
(b) 200 m
(c) 100 √2 m
(d) 10 √2 m

Q8. The perimeters of two similar triangle ABC and PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is
(a) 16 cm
(b) 12 cm
(c) 14 cm
(d) 15 cm  SOLUTIONS          