Question # 1

Given the following data, which can form two triangles ?

i. ∠C = 30o, c = 8, b = 12

ii. ∠B = 45o, a = 12√2, b = 15√2

iii. ∠C = 60^o , b = 12, c = 5√3

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only 1

only 2

only 3

only 1 and 2

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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(a + b + c) = 180^o

2a = 2b = c

a + b = 180^o - c

a + b = c

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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360

540

720

900

1080

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21

38

42

69

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3

4.5

6

7.5

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80^o

90^o

100^o

None of these

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

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

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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45^o

60^o

75^o

90^o

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95^o

70^o

35^o

85^o

What is the area of a circle whose circumference is π/2 ?

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π/16

π/4

π/2

π

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1.5

1.75

3

2√2

3√2

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2/3

1/1

3/2

2/1

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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98

100

102

104

106

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12

24

36

48

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1 + √2

2 + √2

4

2 + 2 √2

6

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CSS General Abilities Chapter 3 Online Entry Test MCQs With Answers

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