Question # 1

A number A is called the arithmetic mean between a and b if a, A, b is ______

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Arithmetic sequence

Geometric sequence

Harmonic sequence

Arithmetic sequence

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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

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-cosec²x

-sec²x

- cosec x cot x

cosec x

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

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2

4

8

12

The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

None of these

The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

Range of 3 cot x is ______

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[-1, 1]

[-3, 3]

R

None of these

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Rational number is a number which can be written as a terminating decimal fraction or a

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Non-terminating decimal fraction

Non-recurring

Recurring decimal fraction

a, b and c

If one end of the diameter of the circle x² + y²- 5x = 3y -22 = 0 is (3,4) the other end is:

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(2,7)

(-2,-7)

(-2,7)

(2,-7)

In (x + iy) x is the known as

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Imaginary part of complex number

Real part of complex number

Complex number

None of above

The period of cosec 10x is _______

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The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

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-1

0

2

1

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A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is

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1/6

1/3

1/2

2/3

The middle term in the expansion of (a +x)¹²is

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7th

8th

9th

6th

Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =

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3

1

2

4

If y = eax sin bx and y2 - 2ay1 + (a2+b2) y=0 the for what values of a and b we have y2+10y1+34y =0

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a = -10,b=34

a=-5,b=3

a=5,b=3

a=10,b=34

A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

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

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2

-3

1

5

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1 / 2

1 / 3

1 / 4

None of these

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

The series obtained by adding the terms of an arithmetic sequence is called the

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Infinite series

Harmonic series

Geometric series

Arithmetic series

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If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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