Question # 1

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x = ∞ + β + γ

x + β = ∞ + γ

x + γ = β + ∞

x + ∞ = β + γ

A square of area 2 is inscribed in a circle. What is the area of the circle ?

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π/4

π/2

π

π√2

The sides of a triangle are in a ratio of 4 : 5 : 6. The smallest angle is

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82^o

69^o

56^o

41^o

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24

32

40

48

60

If the measures of the angels of a triangle are in the ratio of 1 : 2 : 3, what is the ratio of the length of the smallest side of the triangle to the length of the longest side of the triangle?

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1 : 2

1 : 3

1 : 5

2 : 3

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a = 30^o , b = 40^o

a = 73^o , b = 75^o

a = 100^o , b = 0^o

None of these

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100

110

120

130

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15

30

45

60

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1 + √2

2 + √2

4

2 + 2 √2

6

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18

27

30

36

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8

20

8π

40π

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

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10

20

10π

20π

In circle of radius 5 cm, AB and AC are two equal chords such that AB = AC = 6 cm. What is the length of the chord BC ?

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9.6 cm

11 cm

12 cm

9 cm

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180^o

90^o

360^o

270^o

Two sides of a right triangle are 12 and 13, which of the following could be the length of the third side ?

i. 5

ii. 11

iii. √313

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1 only

2 only

1 and 2

1 and 3

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20

30

40

50

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60

90

105

120

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5√2

10

11

13

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360

540

720

900

1080

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25/81

25/16

16/25

16/81

A cyclic quadrilateral whose opposite angles are equal, is a :

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parallelogram but not a rhombus

rhombus

rectangle

square but not a rectangle

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