Quant(Geometry) Quiz For SSC CGL Exam

Q1. Q is a point in the interior of a rectangle ABCD, if QA = 3 cm, QB = 4 cm and QC = 5 cm then the length of QD (in cm) is 
(a) 3√2
(b) 5√2
(c) √34
(d) √41

Q2. The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4, the largest angle is: 
(a) 120°
(b) 134°
(c) 144°
(d) 150°

Q6. Three cubes of sides 6 cm, 8 cm and 1 cm are melted to form a new cube. The surface area of the new cube is 
(a) 486 cm2
(b) 496 cm2
(c) 586 cm2
(d) 658 cm2
Q7. If the area of the base of a cone is 770 cm^2 and the area of its curved surface is 814 cm2, then find its volume. 
(a) 213√5  cm^3
(b) 392√5  cm^3
(c) 550√5  cm^3
(d) 616√5  cm^3

Q10. Two right circular cones of equal height and radii of their respective base 3 cm and 4 cm are melted together and made to a solid sphere of radius 5 cm. The height of a cone is  
(a) 10 cm 
(b) 20 cm 
(c) 30 cm 
(d) 40 cm 
Q11. Each of the radius of the base and the height of a right circular cylinder is increased by 10%. The volume of the cylinder is increased by 
(a) 3.31%
(b) 14.5%
(c) 33.1%
(d) 19.5%
Q12. If each edge of a cube is increased by 50%, the percentage increase in its surface area is 
(a) 150%
(b) 75%
(c) 100%
(d) 125%
Q13. If the length of each side of a regular tetrahedron is 12 cm, then the volume of the tetrahedron is 
(a) 144√2 cu. cm, 
(b) 72√2 cu. cm, 
(c) 8√2 cu. cm, 
(d) 12√2 cu. cm, 
Q14. The base of a right pyramid is a square of side 40 cm long. If the volume of the pyramid is 8000 cm3, then its height is: 
(a) 5 cm 
(b) 10 cm 
(c) 15 cm 
(d) 20 cm 
SOLUTIONS
S2. Ans.(c)
Sol. Angles be x, 2x, 3x, 4x 
∴ x + 2x + 3x + 4x = 360° 
⇒ 10x = 360° ⇒ x = 36° 
∴ largest angle = 4x = 144° 
S3. Ans.(d)
Sol. ∠ACB = ∠DAC = 50° (Alternate interior ∠s) 
∠BOC = 180° – 80° = 100° 
∴ Now in ∆BOC, 
∠DBC = 180° – (100° + 50°) 
= 30° 

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