Advanced Quantitative Quiz For SSC Exams

1. The base of a triangle is increased by 10%. To keep the area unchanged the height of the triangle is to be decreased by 
(a) 9 1/11%
(b) 11 1/9%
(c) 11%
(d) 9%

2. If the sides of an equilateral triangle be increased by 1 m its area is increased by √3 sq m. The length of any of its sides is
(a) 2 m
(b) 5/2 m
(c) 3/2 m
(d) √3 m

3. If G is the centroid of ∆ABC and ∆ABC=48 cm^2, then the area of ∆BGC is 
(a) 8 cm^2
(b) 16 cm^2     
(c) 24 cm^2
(d) 32 cm^2

4. If the length of each median of an equilateral triangle is 6√3 cm, the perimeter of the triangle is 
(a) 24 cm
(b) 32 cm
(c) 36 cm
(d) 42 cm

5. A straight line parallel to the base BC of the triangle ABC intersects AB and AC at the points D and E, respectively. If the area of ∆ABE be 36 cm^2, then the area of the ∆ACD is
(a) 18 sq cm
(b) 36 sq cm
(c) 18 cm
(d) 36 cm

6. The area of an equilateral triangle, inscribed in a circle, is 4√(3 ) cm^2. The area of the circle is terms of π will be
(a) 4√6  π
(b) 5 π
(c) 5 1/3 π
(d) 6 π 

7. One acute angle of a right angled triangle is double the other. If the length of its hypotenuse is 10 cm, then its area is
(a) (25/2) √3  cm^2
(b) 25 cm^2
(c) 25√3  cm^2
(d) 75/2 cm^2

8. If the perimeter of a right angled isosceles triangle is (4√2+4)cm, the length of the hypotenuse is 
(a) 4 cm
(b) 6 cm
(c) 8 cm
(d) 10 cm

9. From a point in the interior of an equilateral triangle the perpendicular distances of the sides are √3  cm,2√3 cm and 5√3  cm. The perimeter (in cm) of the triangle is 
(a) 64
(b) 32
(c) 48 
(d) 24

10. The sides of a triangle are 3 cm, 4 cm and 5 cm. The area (in cm^2) of the triangle formed by joining the mid-points of the triangle is 
(a) 6
(b) 3
(c) 3/2
(d) 3/4

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