Question # 1

Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

Total number of subsets that can be formed out of the set {a,b,c} is

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1

4

8

12

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None of these

Considering Cosine Rule of any triangle ABC, possible measures of angle A includes

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Angle A is obtuse

Angle A is acute

Angle A is right-angle

All of above

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tan 3x + c

cot 3x + c

- cot 3x + c

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

If f(x) = -x³then f(-2) is

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-2

-4

-8

8

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

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BA

A2

AB

B2

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a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is

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pqr

1

pq

pqr²

The number of subset of {0} is

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1

2

3

None

The two parts into which 57 should be divided so that their product is 782 are

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43,14

34,23

33,24

44,13

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

sin (α+β) - sin (α -β) =

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4 cosαsinβ

2 cosαsinβ

4 cosαcosβ

4 sin αsinβ

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4

3

2

1

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in

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4 ways

12 ways

256 ways

24 ways

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An ellipse

A parabola

A circle

A hyperbola

a ______quantity is one that possesses both magnitude and direction.

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Scalar

Vector

Segment

None of these

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none of these

Which one represents a sequence

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an

Sn

a(n)

{an}

The identity element with respect to subtraction is

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0

-1

0 and 1

None of thes

Tan 180° = ______

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-1

0

1

Undefined

4/√49 is a

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Irrational Number

Prime Number

Rational number

Whole number

A stationary point x is a relative exterma of y= f(x) is

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f′′ (x) > 0

f′′ (x) < 0

f′′ (x) ≠ 0

f′′(x) = 0

The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45^𝜊.The height of the tower is

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37m

97m

101m

70m

The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

2cos2 a/2 =______;

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1+sina

1-sina

1+cosa

1-cosa

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AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angleβat P. If AP : AB = 2 : 1 thenβ=

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