# y = Aex + Be2x + Ce3x satisfies the differential equation :

1.  y''' - 6y'' + 11y' - 6y = 0

2.  y''' + 6y'' + 11y' + 6y = 0

3.  y''' - 6y'' - 11y' + 6y = 0

4.  y''' - 6y'' - 11y' + 6y = 0

4

y\'\'\' - 6y\'\' + 11y\' - 6y = 0

Explanation :
No Explanation available for this question

# Observe the following statements :A : Integrating factor of (dy/dx) + y = x2 is exR :Integrating factor of (dy/dx) + P(x) y = Q(x) is e∫p(x)dx.

1.  A is true, R is false

2.  A is false, R is true

3.  A is true, R is true, R => A

4.  A is false, R is false

4

A is true, R is true, R =&gt; A

Explanation :
No Explanation available for this question

# Let n = 1! +4! +7!+................ +400! Then ten's digit of n is

1.  1

2.  6

3.  2

4.  7

4

6

Explanation :
No Explanation available for this question

# Let an=10n / n! for n=1,2,3.................. Then the greatest value of n for which an is the greatest is

1.  11

2.  20

3.  10

4.  8

4

10

Explanation :
No Explanation available for this question

# A polygon has 54 diagonals then the number of it's sides is

1.  7

2.  9

3.  10

4.  12

4

12

Explanation :
No Explanation available for this question

# The number of ways of arranging 8 men and 4 women around a circular table such that no two women can sit together is

1.  8!

2.  4!

3.  8!4!

4.  7!8P4

4

7!<sup>8</sup>P<sub>4</sub>

Explanation :
No Explanation available for this question

# If a polygon of n sides has 275 diagonals, then n is equal to

1.  25

2.  35

3.  20

4.  15

4

25

Explanation :
No Explanation available for this question

# If ax= by= cz = dw then the value of x[(1/y)+(1/z)+(1/w)]is

1.  loga(abc)

2.  loga(bcd)

3.  logb(cda)

4.  logc(dab)

4

loga(bcd)

Explanation :
No Explanation available for this question

# If f : R --->R  and g  :  R ---> R are defined by  f(x) = x -[x]  and g(x) = x- [x] for x belongs to R where [x] is the greatest integer not exceeding x then for every

1.  x

2.  0

3.  f(x)

4.  g(x)

4

0

Explanation :
No Explanation available for this question

1.  -ao

2.  3n

3.  n.3n+1

4.  n.3n

4