Advanced Quant Quiz for SSC Exam

1. If the circumference of a circles increases from 4a to 8a, hat change occurs in its area?

(a) it doubles 

(b) It quadruped

(c) It triples

(d) It is halved

2. S1, S2, S3 are three rectangular sheets of identical areas with their lengths in the ratio 1 : 2 : 3. If each is converted into a right circular cylinder open at both ends by joining its shorter parallel sides, what is the ratio of the volumes of the three cylinders, S1, S2 and S3, respectively, so formed?

(a) 1 : 1 : 1

(b) 4 : 2 : 3

(c) 1 : 2 : 3

(d) 6 : 3 : 2

3. ABCD is a square, P, Q, R and S are points on the sides AB, BC, CD and DA respectively such that AP=BQ=CR=DS. What is ∠SPQ equal to?

(a) 30°

(b) 45°

(c) 60°

(d) 90°

4. ABC is a triangle in which AB=AC. Let BC be produced to D. From a point E on the line AC let EF be a straight line such that EF is parallel to AB. Consider the quadrilateral ECDF thus formed. If ∠ABC=65° and ∠EFD=80°, then what is ∠FDC  equal to?

(a) 43°

(b) 41°

(c) 37°

(d) 35°

5. AB is a straight line. C is a point whose perpendicular distance from AB is 3 cm. What are the number of points which are at a perpendicular distance of 1 cm from AB and at a distance 4 cm and from C?

(a) 1

(b) 2

(c) 3

(d) 4

6. Let D, E be the points on sides AB and AC respectively of a ∆ABC  such that DE is parallel to BC. Let AD=2 cm, DB=1 cm, AE=3 cm and area of ∆ADE=3 cm^2. What is EC equal to?

(a) 1.5 cm

(b) 1.6 cm

(c) 1.8 cm

(d) 2.1 cm

7. ∆PQR is right angled at Q, PR=5 cm and QR=4 cm. If the lengths of sides of another ∆ ABC  are 3 cm, 4 cm and 5 cm, then which one of the following is correct?

(a) Area of ∆PQR is double that of ∆ ABC

(b) Area of ∆ABC is double that of ∆ PQR

(c) ∠B=∠Q/2

(d) Both triangles are congruent 

8. The hypotenuse of a right triangle is 3√10 unit. If the smaller side is tripled and the longer side is doubled, new hypotenuse becomes 9√5 unit. What are the lengths of the smaller and longer sides of the right triangle respectively?

(a) 5 units and 9 units

(b) 5 units and 6 units

(c) 3 units and 9 units

(d) 3 units and 6 units

 9. A cone is inscribed in a hemisphere such that their bases are common. If C is the volume of the cone and H that of the hemisphere, then what is the value of C : H?

(a) 1 : 2

(b) 2 : 3

(c) 3 : 4

(d) 4 : 5

10. A wax cube of edge 6 cm is melted and formed into three smaller cubes. If the edges of two smaller cubes are 3 cm and 4 cm, what is the edge of the third smaller cube?

(a) 5 cm 

(b) 4.5 cm

(c)  4 cm

(d) 3.5 cm 

Answer Keys:

1.(b)

2.(c)

3.(d)

4.(d)

5.(c)

6.(a)

7.(d)

8.(c)

9.(a)

10.(a)