Question # 1

What is the greater of two numbers whose product is 900, if the sum of the two numbers exceeds their difference by 30 ?

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15

60

75

90

100

In an examination, a student attempted 15 questions correctly and secured 40 marks. If there were two types of questions (2 marks and 4 marks questions), how many questions of 2 marks did he attempt correctly ?

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5

10

20

40

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

If p² - 18p + 77 = 0 and 3q² - 25q + 28 = 0, then:

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p ≥ q

p ≤ q

p > q

p < q

A train 100 metres long passes a bridge at the rate of 72 km/hr in 25 seconds. What is the length of the bridge ?

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400 m

170 m

600 m

None of these

Solution set of |2x| = 6 is :

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{3, -3}

{3}

{0, 3}

{-3, 0}

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

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

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x < 12

x > 12

x ≤ 12

x ≥ 12

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

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y < 5

y = 5

y ≥ 0

y > 5

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

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

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x = 2

x = -2

x = ±2

None of these

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

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0

2

1

None of these

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

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

Resolve into factors: (a + b)² - 14c(a + b) + 49c².

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(a - b - 9c)³

(a + b -7c)²

(a + b +9c)²

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

One root of the quadratic equation x² - 5x+6=0 is 3. Find the other root.

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2

-2

1

-1

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