Question # 1

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60

90

105

120

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45^o

60^o

75^o

90^o

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120^o

52^o

78^o

130^o

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3

2 + 3√2

3 + 2√2

5

8

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1 + √2

2 + √2

4

2 + 2 √2

6

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47

74

90

106

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75

90

100

105

The complement of 30^o 20' is

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69^o 40'

59^o 40'

35^o 80'

159^o 40'

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

Two sides of a right triangle are 15 and 17. Which of the following could be the length of the third side ?

i. 8

ii. 19

iii. √514

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1 only

2 only

1 and 2

1 and 3

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5√2

10

11

13

Find the length of the longer diagonal of a parallelogram if the sides are 6 inches and 8 inches and the smaller angle is 60^o.

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8

11

12

7

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18

27

36

45

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

The complement of an angle exceeds the angle by 60^o. Then the angle is equal to

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25^o

30^o

15^o

35^o

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108

54+72√2

54+72√3

198

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7

17

9

14

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18^o

36^o

45^o

72^o

What is the area of a circle that is inscribed in a square of area ?

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π/4

π/2

π

π√2

In quadrilateral WXYZ, the measure of angle Z is 1 more than twice the average of the measures of the three angles. What is the measure of angle Z ?

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100

105

120

135

150

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20^o

30^o

45^o

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CSS General Abilities Chapter 3 Online Entry Test MCQs With Answers

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