# 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
Solution:

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
Solution:

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

3 cm
3√3 cm
6 cm
6√3 cm
Solution:

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
Solution:

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
Solution:

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
Solution:

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
Solution:

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
Solution:

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
Solution:

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
Solution:

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
Solution:

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
Solution:

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
Solution:

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
Solution:

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
Solution:

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