Question # 1

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2/3

1/1

3/2

2/1

The angles of triangle are in a ratio of 8 : 3 : 1. The ratio of the longest side of the triangle to the next longest side is

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√6:2

8 : 3

√3:1

8 : 5

If the difference between the measures of the two smaller angles of a right triangle is 8^o , what is the measure, in degrees, of the smallest angle ?

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37

41

42

49

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15

30

45

54

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100

110

120

130

In ΔABC, D and E are the mid-points of AB and AC, respectively. Find the ratio of the areas of Δ ADE and Δ ABC.

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1/2

1/4

3/4

1/8

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14.00

14.09

14.21

15.62

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18

72

18√3

36√3

36√2

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12

24

36

48

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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60

90

105

120

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135^o

125^o

115^o

110^o

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80^o

90^o

100^o

None of these

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7

17

9

14

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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3

2 + 3√2

3 + 2√2

5

8

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

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10

20

10π

20π

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∠ A + 180^o

180^o-∠ A

1/2 ∠BAC

∠A + 90^o

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

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4√6 cm

√24 cm

8√3 cm

4√3 cm

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180 cm2

240 cm2

120 cm2

150 cm2

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