Mathematics Questions for NDA, CDS & CAPF: Quiz-2

Dear Students, Defence Adda is providing you all with this quiz on Mathematics questions for NDA, CDS, AFCAT, CAPF and other Police 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 Mathematics Section of all sorts of defence examinations.
 Q1. The radius of the sphere 3x2+3y2+3z2-8x+4y+8z-15=0 is 
               (a) 2
               (b) 3
               (c) 4
               (d) 5

Q5. The distributions X and Y with total number of observations 36 and 64 and means 4 and  3, respectively are combined. What is the mean of the resulting distribution X + Y? 
           (a) 3.26
           (b) 3.32
           (c) 3.36
           (d) 3.42

      Q7. The radius of the circle passing through the point P (6, 2), two of whose 
            diameter are x + = 6 and x + 2y = 4 is 
         (a) 10
         (b) 2√5
         (c) 6
         (d) 4

     Q8. The coefficient of x(-n) in (1+x)n (1+1/x)n is
        (a) 0
        (b) 1
        (c) 2n
        (d) 2n

   Q11. If A = {4n+2|n is a natural number} and B = {3n|n is a natural number}, then what is (A      ∩ B) equal to? 
                 (a) {12n2+6n|, n is a natural number}
                 (b) {24n-12|,n is a natural number}
                 (c) {60n+30|,n is a natural number}
                 (d) {12n-6|,n is a natural number}

Q13. The shadow of a tower standing on a level plane is found to be 50 m longer when the Sun’s elevation is 30° than when it is 60°. The height of the tower is 
                (a) 25 m 
                (b) 25 √3 m 
                (c) 50 m 
                (d) 50 √3 m 


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