Question # 1

For a positive integer n

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n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

The polar form of complex number x ≠ I y =

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r cos θ+ r sin θ

r cos θ+ is sin θ

cos θ+ r sin θ

i cos θ+ i sin θ

A line segment whose end points lie on a circle is called

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The secant of the circle

The arc of the circle

The chord of the circle

The circumference of the circle

The√ is used for the

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Positive square root

Negative square root

+ve and -ve square root

Whole number

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1/x

-x

2x

0.5 x

1 degree = _______

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0.00175 rad

0.175 rad

0.0175 rad

1.75 rad

The tangents drawn from the point P to a circle are real and distinct if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

The line y = 2 x + c is a tangent to the parabola y²= 16 x if c equals

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-2

-1

0

2

Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

If 4 > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

None of above

How many arrangements of the letters of the word PAKISTAN cab be made

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It is not possible to find the exact value of

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π

√9

∛27

√1

The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

Q∪ Q' =

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Q

Q'

N

R

Arithmetic mean between a and b is

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A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

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b cotαtanβ

b tanαtanβ

b tanαcotβ

None of these

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sin h x

cos h x

tan h x

cot h x

The velocity of a particle moving along a straight line is given by v = 3t + t². The acceleration of the particle after 4 seconds from the start is

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4

11

26

None

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Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is

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2⁹

2¹⁰

2¹¹

2⁸

To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

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Co-ordinate of a point on the parabola y² = 8x whose focal distance is 4 are:

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(2 , 4)

(-2 ,-4)

(-2, 4)

(2,-4)

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a.b and c

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Principle of equality of fractions

Rule for product of fraction

Rule for quotient of fraction

Golden rule of fractions

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

The process of finding a function whose derivative is given is called a

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Differentiation

Integration

Differential

None

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