# Volume of a cube of side 'l' and volume of a sphere of radius V are equal. Both the cube and the sphere are solid and of same material. They are being cast. The ratio of the solidification time of the cube to the same of the sphere is

1.  (4π/6)3(r/l)6

2.  (4π/6) (r/l)2

3.  (4π/6)2 (r/l)3

4.  (4π/6)2 (r/l)4

4

(4π/6)2 (r/l)4

Explanation :
No Explanation available for this question

# The solution of dy/dx=y2 with initial value y(0)=1 is bounded in the interval

1.   -∞≤ x ≤ ∞

2.  -∞≤ x ≤ 1

3.  x < 1, x > 1

4.  -2 ≤ x ≤ 2

4

x < 1, x > 1

Explanation :
No Explanation available for this question

# If then y(2) =

1.  4 or 1

2.  4 only

3.  1 inly

4.  undefined

4

4 or 1

Explanation :
No Explanation available for this question

# A calculator has accuracy up to 8 digits after decimal place. The value of  when evaluated using this calculator by trapezoidal method with 8 equal intervals, to 5 significant digits is

1.  0.00000

2.  1.0000

3.  0.00500

4.  0.00025

4

0.00000

Explanation :
No Explanation available for this question

# Let X and Y be two independent random variables. Which one of the relations between expectation (E), variance (Var) and covariance (Cov) given below is FALSE

1.  E(XY)=E(X) E(Y)

2.  Cov(X,Y) = 0

3.   Var (X + Y) = Var (X) + Var (Y)

4.  E(X2Y2) = (E(X))2(E(Y)2

4

E(X2Y2) = (E(X))2(E(Y)2

Explanation :
No Explanation available for this question

# The area of a triangle formed by the tips of vectors  ,,  and  is

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# The inlet angle of runner blades of a Francis turbine is 90°. The blades are so shaped that the tangential component of velocity at blade outlet is zero. The flow velocity remains constant throughout the blade-passage and is equal to half of the blade velocity at runner. The blade efficiency of the runner is:

1.  25 %

2.  50 %

3.  80 %

4.   8 %

4

80 \%

Explanation :
No Explanation available for this question

# A uniformly loaded propped cantilever beam and its free body diagram are shown below. The reactions are

1.  R1=5ql/8, R2=3ql/8, M=ql2/8

2.  R1=3ql/8, R2=5ql/8, M=ql2/8

3.  R1=5ql/8, R2=3ql/8, M=0

4.  R1=3ql/8, R2=5ql/8, M=0

4

R1=5ql/8, R2=3ql/8, M=ql2/8

Explanation :
No Explanation available for this question

# In a counter flow heat exchanger, hot fluid enters at 60°C and cold fluid leaves at 30°C.Mass flow rate of the hot fluid is 1 kg/s and that of the cold fluid is 2 kg/s. Specific heat of the hot fluid is 10 kJ/kgK and that of the cold fluid is 5 kJ/kgK. The Log Mean Temperature Difference (LMTD) (or the heat exchanger in °C is

1.  15

2.  30

3.  35

4.  45

4

30

Explanation :
No Explanation available for this question

1.

2.

3.

4.

4