Question # 1

If x⁴- 10x²- 2x + 4 is divided by x + 3, then the reminder is

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1

0

4

None of these

The sum of first 60 natural numbers is

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1830

3660

1640

1770

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2

4

6

8

the curve of the parabola y² = -4ax is symmetric with respect to

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x -axis

y - axis

Botha x and y- axis

None of thes

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IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

How many arrangements of the letter of the word PAKPATTAN can be made

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The number of points of intersection of two curves y = 2 sin x and y = 5x²+ 2x + 3 is

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0

1

2

None of these

The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at

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(acos a,asin a)

(a,0)

(cos a,sin a)

(0,0)

For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

None of these

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Name the property used in a (b-c) = ab - ac

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commutative property of multiplication

distributive property of multiplication

associative property of multiplication

multiplicative inverse

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x = r2, y = 1 are the parametric equation of

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Circle

Hyperbola

Ellipse

Parabola

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R

2R

r

2r

An event having more than one sample point is called

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Certain event

Compound event

Simple event

None

if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

None of these

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If a, b, c, d, e, f are in A.P.,then e-c is equal to

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2(c - a)

2(f - d)

2(d - c)

d - c

Root of the equation 3^x-1+ 3^1-x= is

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2

1

0

-1

If a parabola opens down, then its vertex is at the

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Right of the parabola

Left of parabola

Lowest point on the parabola

Highest point on the parabola

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Less then 1

Equal to 1

Greater than 1 but less then 2

Greater then or equal to 2

The value of the expression 3 cosθ+ 4 sinθθlie between

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-7 and 7

-25 and 25

-1 and 1

-5 and 5

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0

1

2

None of these

Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

The equation of the circle with centre (-h, -k) and radius r is

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(x +h)²+ (y+k)²= r²

(x +h)²+ (y-k)²= r²

(x -h)²+ (y+k)²= r²

(x -h)²+ (y-k)²= r²

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0

-1

1

not defined

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