Mathematics Questions for CDS & CAPF: 8th 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.

Q2. Seelu started a business investing Rs. 45,000 Navya joined her after six months with Rs. 80,000 and Ramesh joined them with Rs. 1,20,000 after one year. Profit earned at the end of two years after Seelu started the business should be distributed among Seelu, Navya and Ramesh respectively in what ratio?
(a) 3 : 4 : 4
(b) 4 : 7 : 5
(c) 4 : 3 : 3
(d) 5 : 7 : 4

Q3. A person lent out a certain sum on S.I. and the same sum on C.I. at a certain rate of interest p.a. He noticed that the ratio between the difference of C.I. and S.I. in 3 yrs. and 2 yrs. is respectively 25 : 8. The rate of interest is-
(a) 25%
(b) 12.5%
(c) 16.6%
(d) 20%

Q4. A 110 meters long train is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? 
(a) 6 seconds
(b) 10 seconds
(c) 7 seconds
(d) 9 seconds

Q5. Abhi and Bhavana both are dealers of LML Scooter. The price of a LML Scooter is Rs. 28,000. Abhi gives a discount of 10% on whole, while Bhavana gives a discount of 12% on the first Rs. 20,000 and 8% on the rest Rs. 8,000. What is the different between their selling price? 
(a) Rs. 360
(b) Rs. 240
(c) Rs. 520
(d) Rs. 720

Q6. The ratio of number of students appearing for an examination in 1998 in the states, A, B and C was 3 : 5 : 6. Next year if the number of students in these states increases by 20%, 10% and 20% respectively, the ratio in states A and C would be 1 : 2. Find the no. of students who appeared for exam in the state A in 1998.
(a) 3
(b) 2
(c) 5
(d) Data inadequate

Q7. The paint in certain container is sufficient to paint an area equal to 9.375 sq m. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container? 
(a) 100
(b) 200
(c) 50
(d) 175

Q8. Water flows at the rate of 10 m/min from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth is 24 cm? 
(a) 51 min 12 sec
(b) 52 min 1 sec
(c) 48 min 15 sec
(d) 55 min

Q9. A well of inner diameter 14 m is dig to a depth of 15 m. Earth taken out of it has been evenly spread all around it to a width of 7 m to make an embankment. Find the height of embankment so formed. 
(a) 7 m
(b) 5 m
(c) 14 m
(d) None


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