Mathematics Questions for CDS & AFCAT: 14th January (SOLUTIONS)

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. 8% of the voters in an election did not cast their votes. In this election, there were only two candidates. The winner by obtaining 48% of the total votes defeated his contestant by 1200 votes. The total number of voters in the election was :
(a) 20000
(b) 30000
(c) 35000
(d) 25000

Q2. A train of length 200 m crosses another train of length 150 m, running on a parallel track in the opposite direction in 18 seconds. If the speed of train having length 150 m is 40 km/hr, then what is the speed (in km/hr) of the other train ?
(a) 30
(b) 48
(c) 50
(d) 60

Q3. What is the discount percentage offered on a test series having marked price Rs 2150 being sold at Rs 1892?
(a) 12 %
(b) 13 %
(c) 14 %
(d) 16 %

Q4. Rs 60500 is divided among W, X and Y such that W receives 2/9 as much as X and Y together and X receives 3/7 as much as W and Y together. What is the share of Y (in Rs)?
(a) 29850
(b) 30120
(c) 31350
(d) 37250

Q5. The average age of a dancing mob of 6 girls is x years. Four new girls having ages x – 2, x + 2, x + 4 and x + 6 joins the mob. What is the new average age (in years) of the mob?
(a) x + 1
(b) x + 2
(c) 2.5x
(d) x + 2.5

Q6. How much water (in litres) must be added to 80 litres solution of acid and water containing 10% acid, so that it becomes a 5% acid solution?
(a) 10
(b) 20
(c) 40
(d) 80

(a) 1 : 1
(b) 5 : 4
(c) 8 : 7
(d) 7 : 8

Q8. P and Q are the middle points of two chords (not diameters) AB and AC respectively of a circle with centre at a point O. the lines OP and OQ are produced to meet the circle respectively at the points R and S. T is any point on the major arc between the points R and S of the circle. If ∠BAC = 32°, ∠RTS = ?
(a) 32°
(b) 74°
(c) 106°
(d) 64°