Question # 1

The set R is ______ w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

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p < r

p > rr

p + r < 0

p - r < 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

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If all members of a sequence are real numbers then it is called

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A.P

Real Sequence

G.P

None of these

The difference of two consecutive terms of an A.P is called the

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Common difference

Common ratio

Geometric series

Geometric mean

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y + 1 = Ae^x

y + 1 = Axe^x

xe^x= C

y + xe^x= C

Number of combination of zero or more things out of n different things

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nPn

nPr

nCr

2n

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The complement of set A relative to universal set U is the set

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Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is

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Name the property used in 1000 x 1 = 1000

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additive inverse

multiplicative inverse

additive identity

multiplicative identity

If the circle x²+ y²+ 2gx +2fy + c = 0 passes through the origin then

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c = 0

c = -1

c = -2

c = 1

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none of these

How many arrangements of the letters of the word PAKISTAN cab be made

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PQ is a post of given height a, and AB is a tower at some distance;αandβare the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are

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none of these

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The locus of the centre of a circle which touches two given circles externally is:

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a hyperbola

an ellipse

a circle

a parabola

To each element of a group there corresponds ............. inverse element

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Two

One

No

Three

The equation of the normal to the circle x²+ y²= 25 at (4, 3) is

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3x - 4y =0

3x - 4y =5

4x + 3y = 5

4x + 3y = 25

The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

The geometrical representation of a linear function is

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Circle

Parabola

Straight lie

None of these

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(2x4)

(2x7)

(2x3)

(7x2)

The first three terms in the expansion of (1 + x)^-2are ______

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 -2x + 3x²

What is the conjugate of -6 -i?

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-6 +i

6+i

-6 -i

6 -i

The quadratic equation 8 sec²θ- 6 secθ+1 = 0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is

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0.2647

0.2692

0.3647

None of these

Let A and B be two sets. If every element of A is also an element of B then

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