Question # 1

If the measures of the angles of a triangle are in the ratio of 1:2:3, and if the length of the smallest side of the triangle is 10, what is the length of the longest side ?

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10√2

10√3

15

20

If the difference between the measures of the two acute angles of a right triangle is 20^o, what is the measure, in degrees, of the smaller one ?

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20^o

35^o

45^o

55^o

The length of a rectangle is 5 more than the side of a square, and the width of the rectangle is 5 less than the side of square. If the area of the square is 45, what is the area of the rectangle ?

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20

25

45

50

70

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x = ∞ + β + γ

x + β = ∞ + γ

x + γ = β + ∞

x + ∞ = β + γ

In a Δ ABC, if 2 ∠ A = 3 ∠ B = 6 ∠ C, then ∠ A is equal to

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60^o

30^o

90^o

120^o

If A is the area and C the circumference of a circle, which of the following is an expression for A in terms of C ?

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C²/4π

C²/4π²

2C

2C²√π

What is the circumference of a circle whose area is 100π ?

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10

20

10π

20π

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100

110

120

130

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35^o

45^o

55^o

65^o

The lengths of the sides of triangle are 3, 5, and x. How many possible values of x are there, if x must be an integer ?

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1

5

7

8

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12

24

36

48

How many sides does a polygon have if the measure of each interior angle is 8 times the measure of each exterior angle ?

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8

9

10

12

18

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4 cm, 7 cm and 3 cm

7 cm, 5 cm and 2 cm

5 cm, 4 cm and 3 cm

4 cm, 5 cm and 2 cm

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18

27

36

45

What is the circumference of a circle whose area is 100π ?

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10

20

10π

20π

A 5 × 12 rectangle is inscribed in a circle. What is the radius of the circle ?

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6.5

7

8.5

13

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2/3

1/1

3/2

2/1

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3

4.5

6

7.5

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Supplementary

Complementary

Equal

Unequal

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80^o

90^o

100^o

None of these

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15

30

45

54

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