Quiz-1

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Question 1

Time: 00:00:00
What is the ratio measures of the in-radius, circum-radius and one of the ex-radius of an equilateral triangle?

1 : 2 : 5

1 : 2 : 5

1:2:3

1:2:3

1:2:7

1:2:7

None of these

None of these

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Question 2

Time: 00:00:00
If in a triangle ABC, cosA/acosB/b = cosC/c,then what can be said about the triangle?


Equilateral triangle

Equilateral triangle

Rightangled triangle

Rightangled triangle

Isosceles triangle

Isosceles triangle

None of these

None of these

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Question 3

Time: 00:00:00
If the largest angle in a triangle is 70o, what is least possible value of the smallest angle of the triangle?

69

69

40

40

1

1

23

23

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Question 4

Time: 00:00:00
Which of the following is incorrect?

An incentre is a point where the angle bisectors meet.

An incentre is a point where the angle bisectors meet.

The median of any side of a triangle bisects the side at right angle.

The median of any side of a triangle bisects the side at right angle.

The point at which the three altitudes of a triangle meet is the orthocentre

The point at which the three altitudes of a triangle meet is the orthocentre

The point at which the three perpendicular bisectors meet is the centre of the circumcircle.

The point at which the three perpendicular bisectors meet is the centre of the circumcircle.

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Question 5

Time: 00:00:00
A circle of maximum possible size is cut from a square sheet. Subsequently, a square of maximum possible size is cut from the resultant circle. What will be area of the final square ?

75% of the of the original square

75% of the of the original square

50% of the size of the original square.

50% of the size of the original square.

75% of the size of the circle

75% of the size of the circle

25% of the size of the original square

25% of the size of the original square

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Question 6

Time: 00:00:00
Each interior angle of a regular polygon is 120 degrees greater than each exterior angle. How many sides are there in the polygon?

6

6

8

8

12

12

13

13

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Question 7

Time: 00:00:00
What is the measure of the circum radius of a triangle whose sides are 9, 40 and 41?

6

6

4

4

24.5

24.5

20.5

20.5

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Question 8

Time: 00:00:00
In the diagram below, CD = BF = 10 units and ∠CED = ∠BAF = 30o. What would be the area of triangle AED? (Note: Diagram below may not be drawn to scale.)
XAT 2015 geometry triangles

100 x (2–√ + 3)

100 x (2–√ + 3)

100(3+4√)

100(3+4√)

50(3+4√)

50(3+4√)

50 x (3–√ + 4)

50 x (3–√ + 4)

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Question 9

Time: 00:00:00
If ABC is a right angle triangle with angle A = 900 and 2s = a + b + c, where a > b > c where notations have their usual meanings, then which one of the following is correct?

(s – b) (s – c) > s (s – a)

(s – b) (s – c) > s (s – a)

(s – a) (s – c) > s (s – b)

(s – a) (s – c) > s (s – b)

(s – a) (s – b) < s (s – c)

(s – a) (s – b) < s (s – c)

4s (s – a) (s – b) (s – c) = bc

4s (s – a) (s – b) (s – c) = bc

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Question 10

Time: 00:00:00
Find the number of triangles in an octagon.

56

56

120

120

32

32

60

60

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["0","40","60","80","100"]
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