Question # 1

Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

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A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is

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(11/16)²

(5/16)²

(11/16)⁴

(5/16)⁴

The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______

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-5

5

0

1

n!/(n-1)!=

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n

n!

(n-1)!

0!

(0,0) is in the solution of the inequality

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x + y > 3

x - y > 2

3x + 2y > 5

3x - 2y < 2

A sequence is a function whose domain is

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N

Subset of N

R

None of these

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Ifα,βare the roots of ax²+ bx + c = 0 andα+ h,β+ h are the roots of px²+ qx + r=0, then h =

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There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

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The distance between the points (2, 2) and (3, 3) is

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10

5

2

Which of the following ordered pair is a solution of the inequality x+2y<6?

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(2,3)

(2,2)

(6,0)

(1,1)

Any point, where f is neither increasing nor decreasing and f(x) = 0 at that point, is called a

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Minimum

Maximum

Stationary point

Constant point

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2x + 3

x²+ 3 + c

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

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0

1

-1

none of these

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

Which of the following is a vector.

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energy

force

work

power

A prime number can be a factor of a square only if it occurs in the square at least

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Once

Thirce

Twice

None of these

sec (-360°) = ______

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0

1

2

3

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5

15

10

20

If |a x b|2 + (a,b)2 = _____

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|a|2 + |b|2

|a|2- |b|2

|a|2|b|2

None

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Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is

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2⁹

2¹⁰

2¹¹

2⁸

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