NDA MATHS QUESTION BANK

7. 
   

   If A, B, C are non-empty sets
   such that A C= Ø, then what is
   (A×B) (C×B)
   (a) A×C (b) A×B (c) B×C (d) Ø

   
   


8. 
   

   If A=P{1, 2}, where ‘p’ is the
   power set, then which is correct?
   (a) {1, 2} A (b) 1 A (c) Ø A (d)
   {1, 2} A

   
   


9. 
   

   If Na= {ax:x N}, then
   (a) (b) (c) (d)

   
   


10. 
    

    If S= {x: +1=0, x is real}, then
    S is
    (a) 0 (b) {0} (c) {Ø} (d) Ø

    
    


11. 
    

    If X= {( ) +
    Y= {9(n-1):n N}
    Find XUY
    (a) X (b) Y (c) N (d) Ø

    
    


12. 
    

    Out of 40 children 30 can
    swim, 27 can play chess and only
    5 can do neither. How many
    children can swim only?
    (a) 30 (b) 22 (c) 12 (d) 8

    
    


13. 
    

    If a set ‘A’ contains 4 elements,
    then find number of elements in
    A×P(A).
    (a) 16 (b) 32 (c) 64 (d) 128

    
    


14. 
    

    If A, B, C are three, finite sets,
    then, find [(A B) C]
    (a) A’ B’nc’ (b) A’nB’nc’ (c)
    A’nB’UC’ (d) AnBnC

    
    


15. 
    

    Universal set:
    U= {x: +
    A= {x: }

    
    

B= {x: }

Find (AnB)’

(a) {1, 3} (b) {1, 2, 3} (c) {0, 1, 3}

(d) {0, 1, 2, 3}

16. In a group of 500 students, 475

can in Hindi, 200 can speak

Bengali. Find number of students

who can speak Hindi only.

(a) 275 (b) 300 (c) 325 (d) 350

17. In the fig. given below, the

shaded region is

(a) P-Q (b) P-R (c) P-(QnR) (d)

(P-Q)n(P-R)

18. In a class of 45 students, 22

can speak Hindi only and 12 can

speak English only. The number of

students who can speak Both

Hindi and English is

(a) 11 (b) 23 (c) 33 (d) 34

19. In a school, there are 20

teachers who can teach either

Maths or physics. There are 12

teachers who teaches Maths and 9

teachers who teach both Maths

and physics. The number of

teachers who teach physics is:

(a) 13 (b) 17 (c) 19 (d) 23