Q.1

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QTis 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?

  • 5√10
  • 4√10
  • 8√5
  • 16√2
Q.2

Find the height of a cuboid whose volume is 330 cm2and base area is 15cm2 .

 

  • 21 cm
  • 24 cm
  • 22 cm
  • 19 cm
Q.3

A rectangular red carpet of size 6 ft ×12 ft has a dark red border 6 inches wide. What is the area of the dark red border?

 

  • 9 square feet
  • 15 square feet
  • 17 square feet
  • 18 square feet
Q.4

In the given figure,PQ = PS = SR and QPS = 40 deg, then what is the value of QPR (in deg) ?

  • 45
  • 60
  • 75
  • 50
Q.5

Find the surface area (in sq.cm) of a sphere of diameter 14 cm.

 

  • 616
  • 4699
  • 8628
  • 6922
Q.6

A cuboid has dimensions 8 cm x 10 cm x 12 cm. It is cut into small cubes of side 2 cm. What is the percentage increase in the total surface area?

  • 286.2
  • 314.32
  • 250.64
  • 386.5
Q.7

A hemisphere is kept on top of a cube. Its front view is shown in the given figure. The total weight of the figure is 21 cm. The ratio of curved surface area of hemisphere and total surface area of cube is 11 :What is the total volume (in cub.cm) of figure?

  • 3318.33
  • 3462.67
  • 3154.67
  • 3248.33
Q.8

Find the surface area (in cm2) of a sphere of diameter 28 cm.

 

  • 3422
  • 3852
  • 2464
  • 3550
Q.9

What is the simplified form of 64288 ?

 

  • 23
  • 1/2
  • 23
  • 33
Q.10

Which of the following statement is CORRECT about the tangents?

 

  • The tangents drawn at the end of diameter of a circle are parallel to each other.
  • The line segment which joins the point of contact of two parallel tangents to the circle is the diameter of the circle.
  • Tangents drawn from the external points subtends equal angle at the center.
  • All option are correct.
Q.11

In the given figure, PQ = 30, RS = 24 and OM = 12, then what is the value of ON?

  • 9
  • 12
  • 15
  • 18
Q.12

In the given figure, ABC is a right angled triangle. ABC = 90 deg and ACB = 60 deg. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?

  • 4
  • 6
  • 4.5
  • 7.5
Q.13

Find the volume (in cm3) of a hemisphere of diameter 7 cm.

 

  • 77
  • 63
  • 89.83
  • 54.13
Q.14

In the given figure, MNOP is a square of side 6 cm. What is the value ( in cm ) of radius of circle?

  • 4.25
  • 3.75
  • 3.5
  • 4.55
Q.15

ABCD is a rectangle. P is a point on the side AB as shown in the given figure. If Dp = 13, CP = 10

  • √105
  • √133
  • 12
  • 10
Q.16

In the given figure, in triangle STU, ST = 8 cm,TU = 9 cm and SU = 12 cm. QU = 24 cm, SR = 32 cm and PT = 27 cm. What is the ratio of the area of triangle PQU and area of triangle PTR?

  • 1 : 1
  • 1 : 4
  • 2 : 3
  • Unknown
Q.17

Find the total surface area (in cm2) of a hemisphere of diameter 21 cm.

 

  • 1039.5
  • 844.5
  • 637
  • 472
Q.18

Solve the triangle b=36 a=38 c=18 for perimeter of the triangle?

  • 74 units
  • 92 units
  • 56 units
  • 54 units
Q.19

Three circle C1, C2 and C3 with radii r1, r2 and r3 (where r1<r2<r3) are placed as shown in the given figure. What is the value of r2?

  • √( r1r3)
  • ( r1 + r3)/2
  • (2 r1r2)/( r1 + r2)
  • √( r1 + r3)
Q.20

A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately?

  • 20
  • 19
  • 17
  • 22
Q.21

The ratio between the length and the breadth of a rectangular park is 3 :If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

  • 15360
  • 153600
  • .30720
  • 307200
Q.22

A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:

  • Rs. 456
  • Rs. 458
  • Rs. 558
  • Rs. 568
Q.23

Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ?

  • 6000
  • 5400
  • 3800
  • 4700
Q.24

A town has a population of 4000 requires 140 liters of water per head. It has a tank measuring 18m x 12m x 8m. The water of this tank will suffice for ____ days?

  • 3
  • 4
  • 5
  • 2
Q.25

The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

  • 40
  • 120
  • 50
  • None of these
Q.26

The diagonal of the floor of a rectangular closet is 712 feet. The shorter side of the closet is 412 feet. What is the area of the closet in square feet?

  • 5 .5
  • 13.5
  • 27
  • 37
Q.27

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

  • 1520 sq.m
  • 2420 sq.m
  • 2480 sq.m
  • 2520 sq.m
Q.28

What part of the volume of a cube is the pyramid whose base is the base of then cube and whose vertex is the center of the cube?

  • 4:1
  • 5:1
  • 6:1
  • 7:1
Q.29

Two cylindrical buckets have their diameters in the ratio 3:1 and their heights are as 1:Find the ratio of their volumes.

  • 2:1
  • 3:1
  • 4:1
  • 5:1
Q.30

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

  • 2.91 m
  • 3 m
  • 5.82 m
  • None of these
Q.31

The volume of a hemisphere is 718.67 cm2. Find its diameter (in cm).

 

  • 7
  • 28
  • 14
  • 21
Q.32

Consider the following two triangles as shown in the figure below.


Choose the correct statement for the above situation.

  • 1
  • 2
  • 3
  • 4
Q.33

How many litres of water can be stored in a tank of 1m length, 1/2m breadth, and 1/2 m tall?

 

  • 25,000
  • 250
  • 25
  • 2,500
Q.34

If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume

  • 33.5%
  • 33.1%
  • 32.1%
  • 53.1%
Q.35

A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

  • 34
  • 40
  • 68
  • 88
Q.36

Consider the following statements:

1) An isosceles trapezium is always cyclic.

2) Any cyclic parallelogram is a rectangle.

Which of the above statements is/are correct?

  • 1 only
  • 2 only
  • Both 1 and 2
  • Neither 1 nor 2
Q.37

∆DEF is right angled at E. If m∠F = 45°, then find the value of (tanD - √3/2).

 

  • -√3/2
  • -1/2√3
  • (2-√3)/2
  • (3√3-1)/3
Q.38

A right triangular prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is 20√3 cm. What is the volume (in cm3) of the prism?

  • 1125
  • 6750
  • 4500
  • 3375
Q.39

66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

  • 84
  • 90
  • 168
  • 336
Q.40

Find the volume (in cm3) of a sphere of diameter 7 cm.

 

  • 140.25
  • 179.67
  • 337.16
  • 213.74
Q.41

Find the volume (in cm³) of a cube of side 4.5 cm.

 

  • 55.467
  • 14.445
  • 91.125
  • 26.465
Q.42

G and AD are respectively the centroid and median of the triangle ΔABC.The ratio AG:AD is

  • 3:2
  • 2:3
  • 3:1
  • 1:2
Q.43

A store owner is packing books into larger boxes that measure 25 by 42 by 60 inches. If the measurement of each book is 7 by 6 by 5 inches, then how many books can be placed in the box ?

  • 175
  • 345
  • 265
  • 300
Q.44

88 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be ?

  • 112 mts
  • 84 mts
  • 96 mts
  • 108 mts
Q.45

How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 4 ft wide ?

  • 9216
  • 10246
  • 12345
  • 7527
Q.46

A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod. Find the number of balls.

  • 3
  • 4
  • 5
  • 6
Q.47

The circumference of a circular base of Cylinder is 44 cm and its hight is 15 cm. Then the volume of the cylinder is?

  • 2759 cub. cm
  • 2247 cub. cm
  • 2614 cub. cm
  • 2311 cub. cm
Q.48

A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

  • 12
  • 60
  • 72
  • 90
Q.49

Which of the following option is CORRECT for SAS similarly criterion for the triangle ABC and DEF?

 

 

  • All options are correct
Q.50

How many iron rods, each of length 7 mts and diameter 2 cms can be made out of 0.88 cubic metre of iron ?

  • 500
  • 600
  • 400
  • 300
0 h : 0 m : 1 s