Question # 1

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 x ε N, then solution set of |2x| = 4 is:

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x = 2

x = -2

x = ±2

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

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

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

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(6xy + 9z)²

(9xy - 7z)²

(9xy + 6z)²

None of these

If 7a - 5 < 6a + 11, then find the value of a ?

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a > 16

a = 16

a < 16

a ≤ 16

If 4-a>5, then

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a > 1

a < 1

a < -1

a > -1

If (x-2) is a factor of the polynomial x³-2ax² + ax - 1, find the value of a.

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5/6

7/6

11/6

None of these

A train travels 225 km in 3.5 hours and 370 km in 5 hours. Find the average speed of train.

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80 km/hr

60 km/hr

70 km/hr

None of these

If 4x + 13=7 -2x, what is the value of x ?

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- 10/3

-3

-1

1

10/3

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

If 5x² - 4x - 1 is divided by x - 1, the remainder is

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0

2

1

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

If r1, and r2 are the two roots of the equations x² - 2x - 1 = 0 and if r₁ > r₂, what is r₁ - r₂ ?

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-2√2

-2

0

2√2

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

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0

4

7

100

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

As a fund-raiser, the school band was selling two types of candy: lollipops for 40 cents each and chocolate bars for 75 cents each. One Monday, they sold 150 candies and raised 74 dollars. How many lollipops did they sell ?

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75

90

96

110

120

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