Question # 1

What is the area of a circle whose radius is the diagonal of a square whose area is 4 ?

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2π

2π√2

4π

8π

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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30^o

40^o

50^o

None of these

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100^o

80^o

60^o

70^o

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5√2

10

11

13

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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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20

30

40

50

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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80^o

90^o

100^o

None of these

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9

18

27

36

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95^o

70^o

35^o

85^o

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45^o

60^o

75^o

90^o

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4√6 cm

√24 cm

8√3 cm

4√3 cm

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

In Δ ABC, ∠ A = 30^o , a = 6, and c = 8. Which of the following must be true ?

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0^o < ∠C < 90^o

90^o < ∠C < 180^o

45^o < ∠C < 135^o

0^o < ∠C < 45^o or 130^o < ∠C < 180^o

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3

4.5

6

7.5

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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18

27

36

45

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6

11

22

30

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

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Supplementary

Complementary

Equal

Unequal

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