Question # 1

∀ a,b∈ R, a + b = b + a is _____________ Property of real numbers.

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Closure property w.r.to '+'

Closure property w.r.to 'x'

Commutative property '+'

Commutative property w.r.to 'x'

If log_x64 = 2 then value of x will be:

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64

2

8

64²

Similar triangles are of the same shape but _________ in sizes:

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The same

Different

Both a and b

None

LCM of a²+b² and a⁴-b⁴ is:

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a²+b²

a²-b²

a⁴-b⁴

a-b

Congruent triangles are of _______ size and shape:

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Same

Different

Parallel

Similar

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ab-cd

ac-bd

bc-ad

ad-bc

If one angle of a right triangle is of 30°, the hypotenuse is __________ as long as the side opposite to the angle:

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Thrice

Four times

Twice

Same

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4cm²

6cm²

10cm²

24cm²

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-2

5

-1

-6

If x=-3 and y=-1 then the value of x³y will be:

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27

-27

9

-9

a³+b³=..........:

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(a+b)(a²-ab-b²)

(a+b)(a²-ab+b²)

(a+b)(a²-ab-b³)

(a-b)(a²+ab+b²)

A data in the form of frequency distribution is called.

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Grouped data

Ungroup data

Same

None of these

The difference between upper limit of two consecutive classes is a frequency table is called:

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Class limit

Class interval

Class mark

All of these

The lengths of two transverse tangents to a pair of circles are:

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Unequal

Equal

Overlapping

Which of the following is true?

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W⊆ N

Z ⊆ W

N ⊆ P

P ⊆ W

In class (30-39), lower class limit is....

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39

9

30

34.5

In the given set of data 5,5,5,5,5,5,5 the standard deriation is:

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5

0

7

None of these

On the basic of types of variable of data, the types of frequency distribution are.

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2

3

4

5

The sum of the squares of the sides of a rhombus is equal to the sum of the squares of its:

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Sides

Diagonlas

Medians

Altitude

If R ={(0,2),(2,3),(3,4)} then Dom (R) is:

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{0,3,4}

{0,2,3}

{0,2,4}

{2,3,4}

The nature of the root of equation x²-5x+5=0

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Rationaland equal

Irrationaland unequal

Irrationaland equal

Rationaland unequal

In a proportion a : b :: c : d, b and c are called:

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Means

Extremes

Fourth proportional

None of these

The period of tan 3x is:

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rational number

irrational number

natural number

whole number

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4

6

8

10

With usual notations for triangle R equals:

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If the matrices A & B have the orders 2×3 and 5×2 then order BA is:

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3×5

5×2

2×2

none

Number of ways of arranging 5 keys in a circular ring is:

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12

24

6

5

sin (α + ß) =

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If A is a matrix of order m × n and B is a matrix of order n × p then the order of AB is:

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p×m

p×n

n×p

m×p

If, for all x in the domain of f, there exists a smallest positive number p such that f (x+p) = f(x), then p is the:

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period of f

period of 2f

period of 3 f

period of 4 f

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sin x

cosec x

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