Question : Which of the set of three sides can't form a triangle?
Option 1: 5 cm, 6 cm, and 7 cm
Option 2: 5 cm, 8 cm, and 15 cm
Option 3: 8 cm, 15 cm, and 18 cm
Option 4: 6 cm, 7 cm, and 11 cm
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Correct Answer: 5 cm, 8 cm, and 15 cm
Solution : In a triangle, the sum of two sides is always greater than the third side. Here, sides 5 cm, 8 cm, and 15 cm can't make a triangle. Because $5 + 8 < 15$ Hence, the correct answer is '5 cm, 8 cm, and 15 cm'.
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Question : Possible lengths of the three sides of a triangle are:
Option 1: 2 cm, 3 cm, and 6 cm
Option 2: 3 cm, 4 cm, and 5 cm
Option 3: 2.5 cm, 3.5 cm, and 6 cm
Option 4: 4 cm, 4 cm, and 9 cm
Question : The lengths of three line segments are given. Is the construction of a triangle possible with the segments in the given cases?
Option 1: 8 cm, 7 cm, 18 cm
Option 2: 8 cm, 15 cm, 17 cm
Option 3: 10 cm, 6 cm, 4 cm
Option 4: 8 cm, 10 cm, 20 cm
Question : Directions: The information given below represents the number codes for the given letters. Select the combination of numbers so that the letters arranged accordingly will form a meaningful word. R = 1, E = 2, A = 3, C = 4, T = 5, I = 6, V = 7, E = 8
Option 1: 4, 1, 2, 3, 5, 8, 7, 6
Option 2: 4, 1, 2, 3, 5, 6, 7, 8
Option 3: 7, 2, 1, 3, 8, 4, 5, 6
Option 4: 4, 3, 1, 5, 6, 7, 8, 2
Question : The three sides of a triangle are 5 cm, 9 cm, and x cm. The minimum integral value of x is:
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 5
Question : ' O ' is a point in the interior of an equilateral triangle. The perpendicular distance from ' O ' to the sides are $\sqrt{3}~cm, 2 \sqrt{3}~cm, 5 \sqrt{3}~cm$. The perimeter of the triangle is:
Option 1: 48 cm
Option 2: 32 cm
Option 3: 24 cm
Option 4: 64 cm
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