 # Quant Quiz on “GEOMETRY” for SSC CGL Exam 2016

1. Find the area of a triangle whose sides measure 8 cm, 10 cm and 12 cm.

8√63 sq cm
5√63 sq cm
6√53 sq cm
7√93 sq cm

2. The area of a right angled triangle is 40 sq cm. If its base is equal to 28 cm, find its height.

a
b
c
d

3. The altitude of an equilateral triangle is √3 cm. What is its perimeter?

3 cm
3√3 cm
6 cm
6√3 cm

4. The area of a right angled triangle is 10 sq cm. If its perpendicular is equal to 20 cm, find its base.

1 cm
4 cm
3 cm
2 cm

5. The base of a triangular wall is 7 times its height. If the cost of painting the wall at Rs. 350 per 100 sq m is Rs. 1225, then what is the base length?

50 cm
70 cm
75 cm
100 cm

6. A triangle with three equal sides has its area equal to 3√3 sq cm. Find its perimeter.

6√3 cm
2√3cm
5√3 cm
7√3 cm

7. The sides of a triangle area in the ratio of1/3 ∶ 1/4 ∶ 1/5and it’s perimeter is 94 cm. Find the length of the smallest side of the triangle.

18 cm
22.5 cm
24 cm
27 cm

8. The area of an equilateral triangle is 4√3 sq cm. Find the length of each side of the triangle

3 cm
2√2 cm
2√3 cm
4 cm

9. The perimeter of an equilateral triangle is 90 cm. Find its area.

225√3 sq cm
250√3 sq cm
135√3 sq cm
151√3 sq cm

10. The sides of a right angled triangle are equal to three consecutive numbers expressed in centimeters. What can be the area of such a triangle ?

6 cm2
8 cm2
10 cm2
12 cm2

11. If the area of an equilateral triangle is x and its perimeter is y, then which one of the following is correct?

y4=432x2
y4=216x2
y2=432x2
None of these

12. The area of a right angled triangle is 24 cm2 and one of the sides containing the right angle is 6 cm. The altitude on the hypotenuse is

3.6 cm
4.8 cm
5.2 cm
12 cm

13. The area of an equilateral triangle is √(243)/4 sq cm. Find the length of its side.

3 cm
3√3 cm
9 cm
√3 cm

14. The ratio of length of each equal side and the third side of an isosceles triangle is 3 : 4. If the area of the triangle is 18√5 sq units, the third side is

8√2 units
12 units
16 units
5√10 units

15. Two isosceles triangle have equal vertical angles and their corresponding sides are in the ratio of 3 : 7. What is the ratio of their areas?

9 : 7
2 : 1
9 : 49
7 : 9

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