Question # 1

An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is

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3 / 10

5 / 10

7 / 10

9 / 10

A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

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If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is

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0

±1

±5

±7

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none of these

The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

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

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0

1

The sum of all odd numbers between 100 and 200 is

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6200

7500

6500

3750

Which one is a pair of allied angles

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(180° -θ)

(180° -θ,180° +θ)

(180° +θ)

None of these

The sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is

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32

16

18

8

∀x, y ∈ R, either x = y or x > y or x < y is

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Transitive property

Reflexive property

Trichotomy property

None of these

Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0

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(1,0)

(0,4)

(3,0)

(8,0)

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The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

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The graph of a linear function is

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a circle

triangle

a straight line

none of these

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3 x 1

1 x 3

3 x 3

1 x 1

The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

The number of permutation that can be formed from the letters of the word OBJECT is

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700

600

720

620

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is

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2 / 13

4 / 13

5 / 13

8 / 13

∫ x cos dx is equal to :

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x cos x + sin x

cos x + x sin x

x cos x + x sin x

x sin x + cos x

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

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40

30

50

20

If Z = (1,2), then Z^-1 =?

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(0.2, 0.4)

(-0.2 ,0.4)

(0.2,-0.4)

(-0.2,-0.4)

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y²= 4x, then

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a = 2b

2a = b

a²= 2b

2a = b²

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are real no

both are not real

are imaginary no

both are imaginary

The set {1, -1, 1, -1}, form a group under

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Addition

Multiplication

Subtraction

None

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