Mensuration Model Questions Set 2 Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1

The lengths of three line segments (in cm) are given in each of the four cases. Which one of the following cases is not suitable to be the three sides of a triangle?

a) 2, 4, 5

b) 2, 3, 4

c) 2, 3, 5

d) 3, 4, 5

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Question : 2

The areas of two circles are in the ratio 1 : 2. If the two circles are bent in the form of squares, then what is the ratio of their areas?

a) 1 : $√2$

b) 1 : 2

c) 1 : 3

d) 1 : 4

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Question : 3

A hollow right circular cylindrical vessel of volume V whose diameter is equal to its height, is completely filled with water. A heavy sphere of maximum possible volume is then completely immersed in the vessel. What volume of water remains in the vessel ?

a) ${2V}/3$

b) $V/2$

c) $V/3$

d) $V/4$

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Question : 4

In the figure given below, what is ∠BCD equal to?

a) 80°

b) 70°

c) 75°

d) 90°

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Question : 5

Let the incircle to a ΔABC touch BC, AC and AB respectively at the points X, Y and Z.

• Statement I
• If AB > BC, then AB + AZ < BC + XC
• Statement II
• AZ = AY

Which one of the following is correct in respect of the above statements ?

a) Statement I is correct and Statement II is incorrect

b) Statement I and II are correct and Statements II is the correct explanation of Statement I

c) Statement I and II are correct and Statement II is not the correct explanation of Statement I

d) Statement I is incorrect and Statement II is correct

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