If A = (1 2 3), then the rank of AA^T is ________.

(a)

0

(b)

2

(c)

3

(d)

1

For the system of equations x + 2y + 3z = 1, 2x + y + 3z = 2, 5x + 5y + 9z = 4 _______.

(a)

there is only one solution

(b)

there exists infinitely many solutions

(c)

there is no solution

(d)

None of these

ഽ\(\frac { 1 }{ { x }^{ 3 } } \)dx is _______.

(a)

\(\frac { -3 }{ { x }^{ 2 } } +c\)

(b)

\(\frac { -1 }{ 2{ x }^{ 2 } } +c\)

(c)

\(\frac { -1 }{ { 3x }^{ 2 } } +c\)

(d)

\(\frac { -2 }{ { x }^{ 2 } } +c\)

Area bounded by the curve y = x (4 − x) between the limits 0 and 4 with x − axis is ________.

(a)

\(\frac{30}{3}\) sq.units

(b)

\(\frac{31}{2}\)sq.units

(c)

\(\frac{32}{3}\) sq.units

(d)

\(\frac{15}{2}\) sq.units

The degree of the differential equation \(\frac { { d }^{ 4 }y }{ { dx }^{ 4 } } { -\left( \frac { { d }^{ 2 }y }{ { dx }^{ 2 } } \right) }^{ 4 }+\frac { dy }{ dx } =3\) ______.

(a)

1

(b)

2

(c)

3

(d)

4

Δ²y₀ = _______.

(a)

y₂ −2y₁ + y₀

(b)

y₂ + 2y₁ − y₀

(c)

y₂ + 2y₁ + y₀

(d)

y₂ + y₁ + 2y₀

Normal distribution was invented by ________.

(a)

Laplace

(b)

De-Moivre

(c)

Gauss

(d)

all the above

A ________ may be finite or infinite according as the number of observations or items in it is finite or infinite.

(a)

Population

(b)

census

(c)

parameter

(d)

none of these

A time series is a set of data recorded ________.

(a)

Periodically

(b)

Weekly

(c)

successive points of time

(d)

all the above

The transportation problem is said to be unbalanced if _______.

(a)

Total supply ≠ Total demand

(b)

Total supply = Total demand

(c)

m = n

(d)

m+n–1