Question # 1

The sum of first 60 natural numbers is

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1830

3660

1640

1770

The two parts into which 57 should be divided so that their product is 782 are

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43,14

34,23

33,24

44,13

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A is proper subset of B

A is an improper subset of B

A is equivalent to B

B is subset of A

Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then

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k=0

k=1

k=w

k=w2

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I is not

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Real number

Natural number

Prime Number

Whole Number

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

There are ______ types of rational fraction

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Three

Four

Five

Two

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

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quadratic function

constant function

linear function

exponential function

The distance of the point (1.1) from the origin is

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0

2

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2cos2 a/2 =______;

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1+sina

1-sina

1+cosa

1-cosa

If x³+ 4x³- 2x +5 is divided by x - 1, then the reminder is

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8

6

4

None of these

The tangents drawn from the point P to a circle are real and distinct if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

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a₁+ a₂

a²₁+ a²₂

The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is

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If Z₁ = 1+ i, Z₂ = 2+3i , then |Z₁ -Z₂| =?

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√5

√7

-1-2i

√3

csc(-π/2) = __________;

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0

1

-1

Undefined

The roots of the equation ax²+ bx + x = 0 are real and distinct if

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b²- 4ac <0

b²- 4ac = 0

b²- 4ac > 0

None of these

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

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1

-1

General solution of tan 5θ= cot 2θis

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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

The line y =mx +1 is tangent to the parabola y2 =4x if

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m=1

m=2

m=3

m=4

ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if

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h2 -ab <0

h2 -ab≠ 0

h2 -ab =0

h2 -ab >0

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