12th Standard Business Maths English Medium Free Online Test Book Back One Mark Questions

12th Standard

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Time : 00:10:00 Hrs
Total Marks : 10

10 x 1 = 10
1. If A=(1 2 3), then the rank of AAT is

(a)

0

(b)

2

(c)

3

(d)

1

2. For the system of equations x+2y+3z=1, 2x+y+3z=25x+5y+9z =4

(a)

there is only one solution

(b)

there exists infinitely many solutions

(c)

there is no solution

(d)

None of these

3. $\frac { 1 }{ { x }^{ 3 } }$dx is

(a)

$\frac { -3 }{ { x }^{ 2 } } +c$

(b)

$\frac { -1 }{ 2{ x }^{ 2 } } +c$

(c)

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

(d)

$\frac { -2 }{ { x }^{ 2 } } +c$

4. 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)

$\frac{31}{3}$sq.units

(c)

$\frac{32}{3}$ sq.units

(d)

$\frac{15}{2}$ sq.units

5. 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

6. Δ2y0 =

(a)

y−2y+ y0

(b)

y+ 2y− y0

(c)

y2 + 2y1 + y0

(d)

y+ y+ 2y0

7. Normal distribution was invented by

(a)

Laplace

(b)

De-Moivre

(c)

Gauss

(d)

all the above

8. 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

9. A time series is a set of data recorded

(a)

Periodically

(b)

Weekly

(c)

successive points of time

(d)

all the above

10. 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