Mathematics Questions for CDS & CAPF: 14th 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. Mahi and Purva are running towards each other, each one from his own house. Mahi can reach Purva’s house in 25 min of running, which is half the time Purva takes to reach Mahi’s house. If the two started running at the same time, how much more time will it take Purva to reach the middle than Mahi ?
(a) 35 min
(b) 25 min
(c) 12.5 min
(d) 50 min

Q2. Two shopkeepers announce the same price of Rs. 700 for a shirt. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount is more of
(a) Rs. 22.40
(b) Rs. 16.80
(c) Rs. 9.80
(d) Rs. 36.40

Q3. Sita buy a fridge at 15/16 of its original value and sells it for 10% more than its value. Then, gain per cent is
(a) 15.55
(b) 11.67
(c) 16.67
(d) None of these

Q4. A Sintax tank is filled by three pipes. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hrs faster than the first pipe and 4 h slower than the third pipe. The time required by the first pipe is
(a) 6 hrs
(b) 10 hrs
(c) 15 hrs
(d) 30 hrs

Q5. X contributes Rs. 1500 and Y Rs. 900 in a business. X is a sleeping partner and Y gets 10% of the profit for management and the rest of the profit is divided in the proportion of their capital. If the profit is Rs. 800, what is the share of Y ?
(a) Rs. 375
(b) Rs. 360
(c) Rs. 350
(d) Rs. 450

Q6. Sumita lent some money to Mohit at 5% per annum simple interest. Mohit lent the entire amount to Birju on the same day at 8 1/2% per annum. In this transaction after a year. Mohit earned a profit of Rs. 350. Find the sum of money lent by Sumit to Mohit.
(a) Rs. 10000
(b) Rs. 9000
(c) Rs. 10200
(d) None of these

Q7. Two circles having radius 9 cm and 4 cm touch each other externally and another circle of radius “c” cm touch both the circles externally and also their direct common tangent. Find the value of “c” .
(a) 36/25
(b) 25/36
(c) 49/16
(d) 16/49

Q10. The area of the part enclosed by lines 8x+6y=60 and 3x+4y=12 between x-axis and y-axis is
(a) 31. 5
(b) 37.9
(c) 37.5
(d) 31. 9

SOLUTIONS

S1. Ans.(c);
Sol.  Mahi can reach the middle in 12.5 min
Purva can reach the middle in 25 min
So, Req. time =25-12.5=12.5 min

S2. Ans.(c);
Sol.   S.P. of first shopkeeper =700×70/100×94/100=460.60
S.P. of second shopkeeper 700×80/100×84/100=470.40
Required diff. =470.40-460.60=9.80