 # SSC CGL Tier 2 Previous Year Paper (math) with explanation

## SSC CGL Tier 2 Previous Year Paper (math) with explanation

SSC CGL Tier 2 Previous Year Paper (math) with explanation

SSC CGL Tier 2

Math Paper code: 726 (Previous year Paper: Exam conducted by SSC on 12/04/2015)

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No. of Questions: 100                                               Max. Marks: 200

Time: 2 Hours                                                   Negative Marking: 0.5

Each question carries 2 marks

Click for PDF explanation and answer key

1. The principal which gives Rs 1 interest per day at a rate of 5% simple interest per annum is

(a)Rs.5000                           (b) Rs.7300                          (c) Rs.36500                        (d) Rs. 3650

1. When principal = Rs.S, rate of interest = 2r % p.a, then a person will get after 3 years at compound interest

(a) Rs.                              (b) Rs. S                         (c) Rs. S                           (d) Rs. 3S

1. The sum of money which becomes Rs. 2420 at 10 % rate of compound interest after two years is

(a) Rs 2000                          (b) Rs 1000                          (c) Rs 2500                           (d) Rs. 1500

4.From a solid right circular cylinder of length 4 cm and diameter 6 cm, a conical cavity of the same height and base is hollowed out. The whole surface of the remaining solid (in square cm.) is

(a)48                                  (b) 15                                                 (c)63                   (d)24

1. A spherical ball of radius 1 cm is dropped into a conical vessel of radius 3 cm and slant height 6 cm. The volume of water (in cm3), that can just immerse the ball, is

(a)                                    (b)                                      (c) 3                                    (d)

1. The in-radius of a triangle is 6 cm, and the sum of the lengths of its sides is 50 cm. The area of the triangle (in square cm.) is

(a) 150                                  (b) 50                                    (c) 300                        (d) 56

1. One of the angles of a right angled triangle is 15°, and the hypotenuse is 1 metre. The area of the triangle (in square cm.) is

(a) 1220                                (b) 1200                               (c)1250                              (d)1215

1. Assume that a drop of water is spherical and its diameter is one-tenth of a cm, A conical glass has a height equal to the diameter of its rim. If 32000 drops of water fill the glass completely, then the height of the glass (in cm.) is

(a) 3                                       (b) 1                                       (c)4                                        (d) 2

1. If the height of a cylinder is 4 times its circumference, the volume of the cylinder in terms of its circumference c, is

(a)                      (b)4c3                                                (c)                                    (d)2c3

1. If the ratio of the angles of a quadrilateral is 2 : 7 : 2 : 7, then it is a

(a) trapezium               (b) parallelogram             (c) square                            (d) rhombus

11.If for an isosceles triangle the length of each equal side is ‘a’ units and that of the third side is ’b’ units, then its area will be

(a)   square units      (b)   square units    (c)  square units      (d)  square units

1. The outer and inner diameter of a circular path be 728 metre and 700 metre respectively. The breadth of the path is

(a) 7 metre                         (b)28 metre                        (c) 14 metre                       (d) 20 metre

13.A piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is

(a) 152 cm                           (b) 132 cm                           (c) 168 cm           (d) 225cm

1. If radius of a circle is increased by 5%, then the increase in its area is

(a)10.25%                            (b)10%                (c) 5.75 %               (d) 5 %

1. The area of the parallelogram whose length is 30 cm, width is 20 cm and one diagonal is 40 cm is

(a)200  cm2                 (b) 100 cm2                 (c)300  cm2                          (d)150 cm2

1. On increasing each side of a square by 50%,the ratio of the area of new square formed and the given square will be

(a)9 : 5              (b) 9: 3.5                              (c)9: 7              (d) 9: 4

1. The area of a circle is 324 square cm. The length of its longest chord (in cm.) is

(a)36                                      (b)28                                    (c)38                                      (d)32

1. The area of a rhombus is 256 square cm. and one of its diagonals is twice the other in length. Then length of its larger diagonal is

(a)32 cm                               (b) 16cm                              (c) 48cm                 (d) 24 cm

1. If m = and n=then among the following the relation between m and n holds is

(a) m – n + 1 = 0                                (b) m+ n – 1 = 0         (c) m + n + 1 = 0                           (d) m – n – 1 = 0

1. If + +  = 0 , the value of click here

(a)20                                     (b)5                                       (c) 10                                     (d) 15

1. The distance between 2 places R and S is 42 km. Anita starts from R with a uniform speed of 4 km/h towards S and at the same time Romita starts from S towards R also with some uniform speed. They meet each other after 6 hours. The speed of Romita is

(a) 18km/hour                   (b) 3 km/hour                    (c) 20km/hour                   (d) 8 km/hour

1. If the side of a square is (x + 1) units and its diagonal units, then the length of the side of the square would be

(a)  units                            (b)  unit                              (c) 1 unit                             (d) 2 units

1. If 2s = a + b + c, then the value of s(s- c) + (s- a) (s- b) is

(a)ab                                      (b) abc                                 (c)0                        (d)

1. If p + m = 6 and p3 + m3 = 72, then the value of pm is

(a)6                                        (b)12                                     (c)9                        (d)8

1. When xm is multiplied by xn, product is 1. The relation between m and n is

(a) mn = 1                            (b) m = n                              (c) m + n = 1                       (d) m =- n

1. The area (in square units) of the triangle formed by the graphs of the equations x = 4, y = 3 and 3x+ 4y = 12 ; is

(a)24                                      (b)12                                     (c)6                                        (d)3

1. If = , then the value of (p + ) is

(a)7                                        (b)                                      (c) 1                                       (d) 10

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