first of all sorry for such long delay 🙁
Anyway I think the data given is incomplete in this question that’s why now I am giving u only formulas:
a) For Latent heat calculate “B” from the formula as:
t = B * [(Casting modulus)^n]
where,
t = Solidification Time (given)
B = Mold Constant
n = 1.5 to 2 (Take 2 if not given)
Then after finding “B” calculate Latent heat as:

B = {[(ρm*L)/(Tm-T0)]^2}*{[3.1428/(4*K*ρ*C)]}*{1+[(Cm*ΔTs)/L]}

Where,
Tm = melting or freezing temperature of the liquid
To = initial temperature of the mold
ΔTs = Tpour − Tm = superheat
L = latent heat of fusion
K = thermal conductivity of the mold
ρ = density of the mold
C = specific heat of the mold
ρm = density of the metal
Cm = specific heat of the metal

b) For Fluidity of Short Freezing Range Alloys the formula is,
Fluidity Distance, Lf = V * t

where,
V = flow velocity
t = solidification time

If the data is not given in the problem then take any appropriate material & take respective data & put it in formula… 🙂

Well I don’t think this kind of question can be asked in GATE; if asked then it should be deserve 10 marks lol …
Hope this could satisfied you a bit…. … .. .

first of all sorry for such long delay 🙁

Anyway I think the data given is incomplete in this question that’s why now I am giving u only formulas:

a) For Latent heat calculate “B” from the formula as:

t = B * [(Casting modulus)^n]

where,

t = Solidification Time (given)

B = Mold Constant

n = 1.5 to 2 (Take 2 if not given)

Then after finding “B” calculate Latent heat as:

B = {[(ρm*L)/(Tm-T0)]^2}*{[3.1428/(4*K*ρ*C)]}*{1+[(Cm*ΔTs)/L]}

Where,

Tm = melting or freezing temperature of the liquid

To = initial temperature of the mold

ΔTs = Tpour − Tm = superheat

L = latent heat of fusion

K = thermal conductivity of the mold

ρ = density of the mold

C = specific heat of the mold

ρm = density of the metal

Cm = specific heat of the metal

b) For Fluidity of Short Freezing Range Alloys the formula is,

Fluidity Distance, Lf = V * t

where,

V = flow velocity

t = solidification time

If the data is not given in the problem then take any appropriate material & take respective data & put it in formula… 🙂

Well I don’t think this kind of question can be asked in GATE; if asked then it should be deserve 10 marks lol …

Hope this could satisfied you a bit…. … .. .