Question # 1

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n(A)

n(B)

0

1

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0

1

-1

none of these

If s = 2t³- 3t²+ 15t - 8 is the equation of motion of a particle, then its initial velocity is

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8

15

-6

None

The distance of the points (3, 4, 5) from y-axis is

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-x

Infinite set

{-4, 4}

None of these

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none of these

The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

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none of these

The area bounded by y = x (x2 - 4) and below x - axis is

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4

0

-4

8

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

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A conjunction of two statement p and q is true only if

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p is true

q is true

Both p and q are true

both p and q are false

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f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

In quadratic equation f(x) = ax²,if a >0, then the graph of parabola

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Opens up

Opens down

close up

symmetric w.r.t.x.axis

The area of sector with central angle of 1 radian in a circular region whose radius is 2m is

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0.5m2

2m2

1m2

4m2

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

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In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

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40

30

50

20

The roots of ax2 + bx + c = 0 are always unequal if

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b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 0

An observer on the top of a cliff 200 m above the sea level, observes the angles of depression of two ships on opposite sides of the cliff to be 45° and 30°, respectively. The distance between the ships if the line joining them points to the base of cliff is