Question # 1

The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is

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116 m

200 m

216 m

None of these

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f(x)g(x)- ∫g(x) f′(x) dx is equal to

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∫f(x)g′(x)dx

∫f′(x)g(x)dx

∫f′(x)g(x)′dx

∫f(x)g(x)dx

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0

1

2

3

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

The velocity of a particle moving along a straight line is given by v = 3t + t². The acceleration of the particle after 4 seconds from the start is

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4

11

26

None

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In any triangle ABC,with usual notationαsinβ =____;

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b sinα

bsinβ

αsinα

None of these

How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?

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x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

The 26th term of the A.P -2,-4,10,.............is

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136

-136

148

-148

If distance of (a,b) from x-axis is 2 then

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a = 2

b = 2

a = b

b = 4

Which of the following is a factor of x³- 3x²+ 2x - 6

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x + 2

x + 3

x - 3

x - 4

Sequence also called..............

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Series

Function

progressions

Elements

If in a set of real no a is multiplicative identity then

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a,a = a²

a,a = 1

a,a = 0

None of these

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

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cotθ= sin 2θifθ=

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The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if

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c = 0

c = 0,b≠ 0

b = 0,c = 0

b = 0,c≠ 0

The set which has no proper subset is

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{0}

{}

{∅}

None of these

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0

1

If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is

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an ellipse

a hyperbola

a circle

a parabola

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none of these

The distance between the points (0 , 0) and (2, 1) is

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5

0

3

An open sentences formed by using the sign of equality '=' is called ______

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An identity

An equation

A polynomial

None of these

If p and q are two statements then their conjunction is denoted by

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