neither in A nor in B?
(a) 0.7 (b) 0.28 (c) 0.3 (d) 0.4

45. An aircraft has 3 engines A, B and C.
    The aircraft crashes, if all the 3 engines
    fail. The probabilities of failure are
    0.03, 0.02 and 0.05 for engines A, B and
    C respectively. What is the probability
    that the aircraft will not crash?
    (a) 0.00003 (b) 0.90 (c) 0.99997 (d)
    0.90307


46. A coin is tossed 3 times. What is the
    probability of getting head and tail

(HTH) or tail and head (THT)

alternately?

(a) ¼ (b) 1/5 (c) 1/6 (d) 1/8

47. The probability that a student

passes in Mathematics is 4/9 and that

he passes in Physics is 2/5. Assuming

that passing in Mathematics and

Physics are independent of each other,

what is the probability that he passes

in Mathematics but fails in Physics?

(a) 4/15 (b) 8/45 (c) 26/45

(d) 19/45

QUADRATIC EQUATION

1. If one of roots of equation a(b-
   c) +b(c-a)x+c(a-b)=0 is , find other
   root

(a) - (^) (( )) (b) (^) (( )) (c) ((^ ))
(d) (^) (( ))

2. Find roots of equation 2( )^
   ( )=12

(a) (b)^ (c)^ (d)^

3. Let , β are roots of equation (x-a)
   (x-b)=c, Then roots of equation (x-
   )(x-β)+c=0
   (a) a, c (b) b, c (c) a, b (d) a+b, a+c


4. If (x+2) is a common factor of
   ( ) and ( ), then

ratio is

(a) 1 (b) 2 (c) 3 (d) 4

5. If sin C and cos C are roots of
   equation - px+1=0 where o<C<^ ⁄ ,

how many possible values can ‘p’ have?
(a) 1 (b) 2 (c) 3 (d) 4

6. If two quadratic equation - bx+c=0
   have a common root, then find
   common root
   (a)^ (b) (c)^
   (d)


7. If roots of +bx+c=0 are two
   consecutive integers, find - 4c- 1
   (a) 0 (b) 1 (c) -1 (d) 2


8. The value of √ √ √
   (a) 2 (b) 3 (c) √ (d) 6


9. The positive value of ‘K’ for which
   roots of equation 12 +Kx+5=0 are in
   the ratio 3 : 2 is
   (a) 5√ (b)^ √ (c)

(d)

10. If sum of roots of equation
    q +2x+3q=0 is equal to their product,
    find q
    (a)^ (b)^ (c) 3 (d) - 6