Question # 1

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

The general solution of the differential equation x dy / dx = 1 + y is:

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2

1

3

None

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

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The proposition S(k+1) is true when ______ is true∀K∈N

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S(n)

S(k)

S(1)

S(k-1)

Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is

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14 / 29

20 / 39

1 / 2

n

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

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Breadth of the river is twice the height of the tower

Breadth of the river an the height of the tower are the same

Breadth of the river is half of the height of the tower

None of these

Multiplying each side of an inequality by (-1) will:

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Not effect

Change the sign

Become zero

Not defined

If 4 > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

None of above

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none of these

an - an-1 will be common difference in an A.P if

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n = 1∀n∈ N

n>1∧n∈N

n∈Z

None of the above

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

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c/a

-c/a

b/a

-b/a

i¹⁰¹=

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i

i²

-i

-1

(7, 9) + (3, -5) =

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(4, 4)

(10, 4)

(9, -5)

(7, 3)

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8

9

10

11

{0} is a

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Empty set

Singleton set

Zero set

Null Set

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

Considering Cosine Rule of any triangle ABC, possible measures of angle A includes

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Angle A is obtuse

Angle A is acute

Angle A is right-angle

All of above

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be

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Hyperbola

Parabolas

Ellipses

None of these

The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

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π

π / 2

π / 3

π / 4

There is no integer n for which 3n is

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Even

Prime

Odd

Real

Geometrically, the modulus of a complex number represents its distance from the

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Point (1, 0)

Point (0, 1)

Point (1, 1)

Point (0, 0)

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

If a₁= a₂= 2, a_n= a_n-1- 1 (n > 2), then a₅is

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1

0

-1

-2

The total number of subsets that can be formed out of the set {a, b, c} is

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1

4

8

12

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