Question : The angles of a triangle are in the ratio 2 : 3 : 4. What is the largest angle of the triangle?
Option 1: $80^{\circ}$
Option 2: $100^{\circ}$
Option 3: $90^{\circ}$
Option 4: $120^{\circ}$
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Correct Answer: $80^{\circ}$
Solution : Given: The angles of a triangle are in the ratio 2 : 3 : 4. The sum of angles of the triangle is $180^{\circ}$. The sum of the ratios = 2 + 3 + 4 = 9. Largest angle = $180^{\circ}\times\frac{4}{9}=80^{\circ}$. Hence, the correct answer is $80^{\circ}$.
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Question : The lengths of the three sides of a triangle are in the ratio of 2 : 2 : 3. If the perimeter of the triangle is 42 cm, then what is the length of the largest side?
Option 1: 12 cm
Option 2: 18 cm
Option 3: 20 cm
Option 4: 15 cm
Question : A circle is inscribed in an equilateral triangle and a square is inscribed in that circle. The ratio of the areas of the triangle and the square are:
Option 1: $\sqrt3:4$
Option 2: $\sqrt3:8$
Option 3: $3\sqrt3:2$
Option 4: $3\sqrt3:1$
Question : In a bucket, there are 40 red balls and 120 blue balls. The ratio of red to blue is:
Option 1: 1 : 3
Option 2: 3 : 4
Option 3: 1 : 4
Option 4: 2 : 3
Question : Directions: In the following question, select the missing number of the given series. 0, 20, 40, 60, 80, ?
Option 1: 110
Option 2: 100
Option 3: 120
Option 4: 90
Question : If 80% of A is 13 more than 90% of B, and the ratio of 40% of A to 60% of B is 10 : 9, then what is the value of A – B?
Option 1: 50
Option 2: 80
Option 3: 20
Option 4: 60
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