Question # 1

If a²+b²<c²then triangle is:

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Acute

Obtuse

Right

Scalene

Every irrational number is _________

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Surd

Not a surd

Rotional

Whole number

The factors of x²-5x+6 are:

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x+1, x-6

x-2, x-3

x+6, x-1

x+2, x+3

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7

49

52

26

Factorize x²-11x-42:

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(x+14)(x+3)

(x-14)(x-3)

(x+14)(x-3)

(x-14)(x+3)

A matrix is called column matrix if it has only one:

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Column

Row

Diagonal

None

A rectangular region can be divided into ________ triangular regions in many ways:

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4

2

2 or more than 2

5

Distance between the points (1,0) and (0,1) is:

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0

1

2

Factors of 8x³+27y³:

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(2x+3y)(4x²-6xy+9y²)

(2x-3y)(4x²+6xy+9y²)

(2x-3y)(4x²-6xy-9y²)

(2x-3y)(4x²+6xy-9y²)

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P = Q

P≠ Q

P < Q

P > Q

If Z₁ = a + bi and Z₂ = c + di then Z₁.Z₂ =

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ac + bdi

ac - bd

ac - bd + adi + bci

multiplication is not possible

The Range of R is, if R = {(1,3),(2,2),(3,1),(4,4)}.

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{1,2,4}

{3,2,4}

{1,2,3,4}

{1,3,4}

Formula to determine the size of a class is:

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X_max - X_min

X_max + X_min

Range/number of groups

number of groups/Range

One and only one circle can pass through ______ non-collinear points:

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Two

Three

Four

Five

In a : b : : c : d, d is called:

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Thirdproportional

Fourthproportional

Meanproportional

Continuedproportional

Roots of the equation 4x²-5x+2=0 are:

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Irrational

Imaginary

Rational

None of these

The set having only one element is called:

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Null set

Power set

Singleton set

Subset

If A⊆ B the A⋂ B = ______

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A

B

∅

A⋃ B

A Deviation is defined as a difference of any value of the variable from a:

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Constant

Histogram

Sum

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Proper fraction

Improper fraction

Rational fraction

Irrational fraction

1/sinθ = ...............

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Cosθ

Secθ

Co secθ

Cotθ

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P(Product of the roots)

S (Sum of the roots)

D (Difference of the roots)

R (Ratio of the roots)

Which one is radical equation:

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ax² + bx + c

ax + b = 0

2^x = 16

The multiplicative identity of real numbers is:

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0

1

2

-1

In a simultaneous throw of two dice, The probability of getting sum 3 or 11 is:

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none

A triangle which is not right angle triangle called ________ triangle:

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acute

obtuse

right

oblique

If a polynomial P(x) = x2 + 4x2 - 2x + 5 is divided by x - 1, then the reminder is:

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8

-2

4

5

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x = 0, y = 0

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degree of P(x) = degree of Q(x)

degree of P(x) < degree of Q(x)

degree of P(x) > degree of Q(x)

none of these

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a + c = b + d

a + b = c + d

a - b = c - d

None of these

A groupoid (S) is called __________ if it is associative in S:

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group

abelian-group

semi-group

associative-group

To convert any angle in degrees into radians, we multiply the measure by:

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The factorial of positive integer is:

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rational no.

positive integer

real no.

none

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Integration

Integration w.r.t.x.

Differentiation

Differentiation w.r.t.x

y-coordinate of any point on X-axis:

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0

x

y

1

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Lagrange

Newtown

Leibniz

Cauchy

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The graph of the the parabola x² = 4ay lies in quadrant:

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I and II

III and IV

II and III

I and III

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sech x tanh x

-sech x tanhx

sech² x

-sech²x

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

x = 2 is a vertical line perpendicular to _____________:

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x - axis

x - axis may be

y - axis

None of these

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

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Integral

Indefinite integral

Differential

Definite integral

If the graph of f is entirely above the x-axis, then the definite integral is _______:

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Positive

Positive or negative

Negative

Positive and negative