Q1.The principal which gives Rs. 1 interest per day at a rate of 5% simple interest per annum is:

(a) Rs. 3650

(b) Rs. 7300

(c) Rs. 500

(d) Rs. 36500


Q2.When principle = Rs. S, rate of interest = 2r % p.a. then a person will get after 3 years at compound interest?

(a) Rs. S(1+r/100)3

(b) Rs. 6Sr/100

(c) Rs. S(1+ r/50)3

(d) RS. 3S(1+ r/100)3


Q3.The sum of money which becomes Rs. 2420 at 10% rate of compound interest after two years is:

(a) Rs. 2000

(b) Rs. 1500

(c) Rs. 1000

(d) Rs. 250


Q4.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) 48π

(b) 24π

(c) 15π

(d) 63π


Q5.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) 5π/3

(b) 4π/3

(c) 3π

(d) π/3


Q6.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) 56

(c) 300

(d) 50


Q7.One of the angles of a right-angled triangle is 15°, and the hypotenuse is 1 meter. The area of the triangle (in square cm.) is:

(a) 1215

(b) 1200

(c) 1250

(d) 1220


Q8.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) 2

(c) 4

(d) 1


Q9.If the height of a cylinder is 4 times its circumference, the volume of the cylinder in terms of its circumference cv is:

(a) 4πc3

(b) 2π c3

(c) c3/π

(d) 2 c3/π


Q10.If the ratio of the angles of a quadrilateral is 2:7:2:7. Then it is a:       

(a) square

(b) parallelogram

(c) trapezium

(d) rhombus


Q11.If for an isosceles triangle the length of each equal side is ‘a’ units and then its area will be _______.

(a) a/4 √4b2-a2 square units

(b) a/2 √2a2-b2 square units

(c) b/4 √4a2-b2 square units

(d) b/2√a2-2b2 square units


Q12.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   


Q13.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) 225 cm


Q14.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%


Q15.The area of the parallelogram whose length is 30cm, width is 20 cm and one diagonal is 40 cm is ___________.

(a) 200 √15 cm2  

(b) 100 √15 cm2

(c) 300 √15 cm2

(d) 150 √15 cm2


Q16.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


Q17.The area of a circle is 324 π square cm. The length of its longest chord (in cm.) is __________.

(a) 36   

(b) 28

(c) 38

(d) 32


Q18.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) 16 cm

(c) 48 cm

(d) 24 cm


Q19.if m =  √5+√5 + √5+ …….. and n = √5 – √5 – √5 –  …..  , 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


Q20.if (3-5x)/2x + (3 – 5y)/2y + (3 – 5z)/2z = 0, the value of 2/x + 2/y + 2/z is _____.

(a) 20

(b) 5

(c) 10

(d) 5