# 5 different engineering, 4 different mathematics and 2 different chemistry books are placed in a shelf at random. The probability that the books of each kind are all together is

1.  ∠5∠4∠2 /∠11

2.  ∠3∠5∠4∠2 /∠11

3.  ∠5∠6 /∠11

4.  3!5!4! / 11!

4

∠3∠5∠4∠2 /∠11

Explanation :
No Explanation available for this question

# An unbiased coin is tossed n times. The probability that head will present itself, odd number of times is

1.  1/4

2.  1/3

3.  1/2

4.  1/5

4

1/2

Explanation :
No Explanation available for this question

# If two circles x2 + y2 +2gx+c = 0 and the x2 + y2 -2fy-c = 0 have equal radii then locus of the (g, f) is

1.  x2 + y2 =c2

2.  x2 - y2 =2c

3.  x2 - y2 =c2

4.  x2 - y =c2

4

x2 - y2 =2c

Explanation :
No Explanation available for this question

# The probability of getting a head and 6 tails when an unbiased coin is tossed 7 times is

1.  1/128

2.  5/128

3.  7/128

4.  3/128

4

7/128

Explanation :
No Explanation available for this question

# The line x + y =1 intersects the coordinate axes at A and B then the center and radius of the circle whose diameter is AB are

1.  (1, 1); √2

2.  (1/2, 1/2); √2

3.  (1/2, 1/2); 1/√2

4.  (0, 0); 1

4

(1/2, 1/2); 1/√2

Explanation :
No Explanation available for this question

# The locus of the centre of the circle which touch lines 6x-8y+5=0 and 6x-8y+13=0 is 6x-8y+k=0 then k =

1.  10

2.  12

3.  18

4.  9

4

9

Explanation :
No Explanation available for this question

# The roots of ax2+3bx+c=0 are given by if 3b=a + c

1.  1, c/a

2.  -1, c/a

3.  -1, -c/a

4.  a, -c/a

4

-1, -c/a

Explanation :
No Explanation available for this question

# The probability of getting at least one head when we toss 5 unbiased coins is

1.  5/32

2.  1/32

3.  31/32

4.  4/32

4

31/32

Explanation :
No Explanation available for this question

# When a perfect die is rolled, the probability of getting a face with 4 or 5 points upward is

1.  1/3

2.  2/3

3.  1/2

4.  1/4

4

1/3

Explanation :
No Explanation available for this question

1.  1/6

2.  2/3

3.  1/4

4.  1/2

4