Question # 1

What is the probability of being born on Wednesday?

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1/7

1/2

1/3

1/8

When we expand (a + 2b)⁵then

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a⁵+ 10a⁴b + 40a³b²+ 80a²b³+ 80ab⁴+ 32b⁵

a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵

5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵

None

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π/ 2

π/ 3

π/ 4

π

The set (Z,+) forms a group

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Forms a group w.r.t addition

Non commutative group w.r.t multiplication

Forms a group w.r.t multiplication

Doesn't form a group

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

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A.P.

G.P.

H.P.

None of these

The unit vector along x-axis is

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none of these

The square of the distance between two points P(x₁, y₁) and Q(x₂, y₂) is

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An ellipse slides between two lines at right angles to one another. The locus of its centre is :

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a parabola

an ellipse

a circle

a hyperbola

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To express a single rational fraction as a sum of two or more single rational fractions which are called

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improper fractions

Partial fractions

mixed form

Polynomials

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1

0

The distance of the point (-2 , -3) from x-axis is

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2

-3

3

5

The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at

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(acos a,asin a)

(a,0)

(cos a,sin a)

(0,0)

A fraction in which the degree of the numerator is less the degree of the denominator is called

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Polynomial

Proper fraction

Rational fraction

None

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0.9

0.74

0.2016

None of these

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

∀x,y∈R and x> 0 , y>0, if x > y

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None of these

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none of these

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direction ratios

direction cosines

direction angles

none of these

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none of these

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

ⁿC₂= exists when n is ______

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The area of circle of unit radius =

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0

1

4

π

A triangle has six

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side

elements

angle

tangents

The sum of the roots of the equation x2 -6x +2 = 0 is

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-6

2

-2

6

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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A.P.

G.P.

H.P.

None of these

The Principal value of sin-1 (-1/1/2)

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π/2

-π/2

π

-π

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