Question # 1

(0,1) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 5

x -2y < -5

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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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Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

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a^x

a^xIn a

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(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is

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1/13

2/13

7/52

None of these

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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Parabola

Circle

Hyperbola

Ellipse

The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is

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2

1

-1

-2

20. 19. 18. 17= _______

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Principle of equality of fractions

Rule for product of fraction

Rule for quotient of fraction

Golden rule of fractions

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4

3

2

1

Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)

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xcosθ+ysinθ =5

xcosθ -ysinθ =0

xsinθ -ycosθ =0

None of these

If c = 2i+j+k and d= -1 + 4j +2k, then [c-d]=

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√7

√41

√19

√(2&7)

6 is

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A prime integer

An irrational number

A rational number

An odd integer

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∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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Symmetric property

Cancellation property w.r.t multiplication

Reflexive property

Transitive property

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

The 8th term of (1+2x) ^-1/2is

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

When the angle between the ground and the sun is 30^𝜊,flag pole costss a shadow of 40 mg long. the height of the top of the flag is

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25m

23m

12m

29m

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

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Two sets A and B are said to be disjoint if

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If there is one-one correspondence between A and B, then we write.

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A = B

A⊆ B

A⊇ B

A ∼ B

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Tangent is a periodic function and its period is ______

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2π

3π

π

4π

The minimum value of the quadratic function f(x) = x2 +6x -2, is

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11

6

-11

13

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