Question # 1

The conditions for the polynomial equation ax² + bx + c = 0 to be quadratic is

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a > 0

a < 0

a ≠ 0

a ≠ 0, b ≠ 0

The length of each side of a square is 3 more than the length of each side of a regular pentagon. if the perimeters of the square and pentagon are equal, how long is each side of the pentagon ?

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6

12

10

15

18

Resolve into factors: 4x² + 12xy + 9y² - 8x -12y

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(3x + 2y)(4x + 2y - 3)

(2x + 3y)(2x + 3y - 4)

(2x - 3y)(2x + 3y + 4)

None of these

if 3 < x < 7 and -12<y<-6, what are all possible values of xy ?

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-72 < xy < -21

-84 < xy < -18

-22 < xy < -36

-22 < xy < -42

If x+3/2 + 3x =5(x-3) + x+23/5, what is the value of x ?

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3

5

7

9

11

Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages ?

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8 years

20 years

30 years

35 years

40 years

Resolve into factors: 81x²y² + 108xyz + 36z².

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(6xy + 9z)²

(9xy - 7z)²

(9xy + 6z)²

None of these

The number of integers that satisfy the inequality x² + 48 < 16x is:

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0

4

7

100

What is the value of the following expression ?

(1 + x)(1 + x²)(1 + x⁴)(1 + x⁸)(1 - x)

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1 + x¹⁶

1 - x¹⁶

x¹⁶ - 1

x⁸ + 1

Ali was 40 years old when his son Asim was born. How old was Ali when he was 5 times as old as Asim ?

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40

45

50

60

What is the value of 'y' in 4y - 3 > 2 + 3y ?

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y < 5

y = 5

y ≥ 0

y > 5

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