Question # 1

If x/2-2>x/3, then find the value of x ?

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x < 12

x > 12

x ≤ 12

x ≥ 12

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

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

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

The minimum value of x² + 8x + 17 is

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-1

0

1

17

x = 3 is solution of the question 3x² + (k - 1) x + 9 = 0 then k has value

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13

-13

11

-11

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

A number consists of two digits whose sum is 10. If 72 be subtracted from the number, the digits are reversed. Find the number.

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91

93

95

None of these

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

Find the value of k if f(x) = x³ - kx² + 11x-6 and (x-1) is a factor of f(x).

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6

4

8

None of these

When x > 0, y > 0 and x - y > 0, then :

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x < y

x > y

|x/y| = 0

None of these

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

For what values of x is |2x - 3| -4 < 7 ?

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x < 7

0 < x < 3

-4 < x < 7

x < -4 or x>7

The product of two consecutive positive integers is 12 more than 12 times the sum of those two integers. What is the smaller of the two integers ?

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1

23

24

25

Which of the following is a solution of the equation √2x + 5=3 ?

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2

4

16

32

This equation has no solution.

How many seconds longer does it take to drive 1 mile at 40 miles per hour than at 60 miles per hour ?

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15

30

40

60

90

A jar contains only red, white, and blue marbles. The number of red marbles is 4/5 the number of white ones, and the number of white ones is 3/4 the number of blue ones. If there are 470 marbles in all, how many of them are blue ?

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120

135

150

200

220

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