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51.

A wooden box of dimensions 8 metre x 7 metre x 6 metre is to carry rectangular boxes of dimensions 8 cm x 7 cm x 6 cm. The maximum number of boxes that can be carried in 1 wooden box is1). 75000002). 98000003). 12000004). 1000000

Answer» OPTION 4 is the RIGHT ANSWER
52.

The volume of a right circular cylinder, 14 cm in height, is equal to that of a cube whose edge is 11cm.Taking $\pi$ = $\frac{22}{7}$ the radius of the base of the cylinder is1). 5.2 cm.2). 5.5 cm.3). 11.0 cm.4). 22.0 cm.

Answer» RIGHT ANSWER is 5.5 CM.
53.

Sides of a parallelogram are in the ratio 5:4. Its area is 1000 sc units. Altitude on the greater side is 20 units. Altitude on the smaller side is1). 30 units2). 25 units3). 10 units4). 15 units

Answer»

25 UNITS is the CORRECT ANSWER 

54.

The radius of the base and height of a metallic solid cylinder are r cm and 6 cm respectively. It is melted and recast into a solid cone of the same radius of base, The height of the cone is :1). 54 cm2). 27 cm3). 18 cm4). 9 cm

Answer» OPTION option 3 is the CORRECT ANSWER
55.

In a triangular field having sides 30m, 72m and 78m, the length of the altitude to the side measuring 72m is :1). 25 m2). 28 m3). 30 m4). 35 m

Answer» ANSWER for this QUESTION is 28 m
56.

A path of uniform width surrounds a circular park. The difference of internal and external circumference of this circular path is 132 metres. Its width is :(Take $\pi$ = $\frac{22}{7}$)1). 22 m2). 20 m3). 21 m4). 24 m

Answer» RIGHT ANSWER for this QUESTION is OPTION 3
57.

Water flows through a cylindrical pipe, whose radius is 7 cm, at 5 metre per second. The time, it takes to fill an empty water tank, with height 1.54 metres and area of the base (3 x 5) square metres, is (Take $\pi$ = $\frac{22}{7}$)1). 6 minutes2). 5 minutes3). 10 minutes4). 9 minutes

Answer» 5 MINUTES : - is CORRECT hence OPTION 2
58.

The ratio of the outer and the inner perimeter of a ircu r path is 23:22. If the path is 5 metres wide , the diameter of the inner circle is :1). 110 m2). 55 m3). 220 m4). 230 m

Answer» 55 m is the BEST SUITED
59.

The diameter of the base of a right circular cone is 4 cm and its height $2\sqrt{3}$ cm.The slant height of the cone is1). 5 cm2). 4 cm3). $2\sqrt{3}$ cm4). 3 cm

Answer»

is OPTION 2 is the CORRECT ANSWER am i RIGHT

60.

The area of a circle is 38.5 sq.cm. ITs circumference (in cm) is ( use $\pi$ = $\frac{22}{7}$):1). 222). 243). 264). 32

Answer» 22 : OPTION 1 is the CORRECT ANSWER
61.

The area of an equilateral triangle is $9\sqrt{3}$ sq.m.. The length (in m) of the median is1). $2\sqrt{3}$2). $3\sqrt{3}$3). $3\sqrt{2}$4). $2\sqrt{2}$

Answer» OPTION 2 : SEEMS CORRECT
62.

A circle is inscribed in an equilateral triangle of side 8 cm. The area of the portion between the triangle and the circle is1). 11 sq.cm.2). 10.95 sq.cm.3). 10 sq.cm.4). 10.50 sq.cm.

Answer» OPTION 2 : SEEMS CORRECT
63.

What is the area of the triangle whose sides are 9cm, 10cm and 11cm1). 30 sq.cm.2). 60 sq.cm.3). $30\sqrt{2}$sq.cm.4). $60\sqrt{2}$sq.cm.

Answer»

Its TOUGH but OPTION 3 SEEMS CORRECT

64.

The circumference of a circle is 100 cm. The aide of a square inscribed in the circle is1). $\frac{100\sqrt{2}}{\pi}$ cm2). $\frac{50\sqrt{2}}{\pi}$ cm3). $\frac{100}{\pi}$ cm4). $50\sqrt{2}$ cm

Answer» ANSWER for this QUESTION is OPTION 2
65.

The total surface area of a solid hemisphere is $108\pi$ sq.cm..The volume of the hemisphere is1). $72\pi$ cu.cm.2). $144\pi$ cu.cm.3). $108\sqrt{6}$ cu.cm.4). $54\sqrt{6}$ cu.cm.

Answer»

then total surface area = 3$ \large \pi$ \large r^{2} $

=> 3$ \large \pi$ \large r^{2} $ = 108 $ \large \pi$

=> $ \large r^{2} $ = $ \Large \FRAC{108}{3} $ = 36

=> r = $ \large \sqrt{36} $ = 6 cm

Volume of the hemisphere

= $ \Large \frac{2}{3} $ $ \large \pi$ $ \large r^{3} $

= $ \Large \frac{2}{3} $ $ \large \pi$ x 6 x 6 x 6

= 144 $ \large \pi$ cubic cm

66.

ABCD is a cyclic quadrilateral. Diagonals AC and BD meets at P. If $\angle APB$ = $110^{0}$ and $\angle CBD$ = $30^{0}$. then $\angle ADB$ measures1). $55^{0}$2). $30^{0}$3). $70^{0}$4). $80^{0}$

Answer» CORRECT ANSWER is: $80^{0}$
67.

The size of a rectangular piece of paper is 100 cm x 44 cm. A cylinder is formed by rolling the paper along Its length. The volume of the cylinder is ( Use Take $\pi$ = $\frac{22}{7}$)1). 4400 cu.cm.2). 15400 cu.cm.3). 35000 cu.cm.4). 144 cu.cm.

Answer» RIGHT ANSWER for this QUESTION is OPTION 3
68.

In triangle ABC, $DE\parallel $ where D is a point on AB and E is a point on AC. DE divides the area of $\triangle ABC$ into two equal parts. Then DB:AB is equal to1). $\sqrt{2}:(\sqrt{2}+1)$2). $\sqrt{2}:(\sqrt{2}-1)$3). $(\sqrt{2}-1):\sqrt{2}$4). $(\sqrt{2}+1):\sqrt{2}$

Answer»

$\SQRT{2}:(\sqrt{2}-1)$ is the ANSWER

69.

A paralleloplped whose sides are in ratio 2:4:8 have the same volume as a cube. The ratio of their surface area is :1). 7:52). 4:33). 8:54). 7:6

Answer»

Its TOUGH but OPTION 4 SEEMS CORRECT

70.

The perimeter of two squares are 24 cm and 32 cm.The perimeter (in cm) of a third square equal in area to the sum of the areas of these squares is:1). 452). 403). 324). 48

Answer» OPTION 2 is the RIGHT ANSWER
71.

The circumference of a circle is 11 cm and the angle of a sector of the circle is $60^{0}$. The area of the sector is ( Use $\pi$ = $\frac{22}{7}$)1). $1\frac{29}{48}$ sq.cm.2). $2\frac{29}{48}$ sq.cm.3). $1\frac{27}{48}$ sq.cm.4). $2\frac{27}{48}$ sq.cm.

Answer»

$1\frac{29}{48}$ sq.cm. : - OPTION 1

72.

The length (in cm) of a chord of a circle of radius 13 cm at a distance of 12 cm from its centre is1). 52). 83). 104). 12

Answer» 8 : SEEMS CORRECT
73.

The circumference of the base of a circular cylinder is $6\pi$ cm.The height of the cylinder is equal to the diameter of the base. How many litres of water can it hold1). $54\pi$ cc2). $36\pi$ cc3). $0.054\pi$ cc4). $0.54\pi$ cc

Answer» OPTION 1 : $54\pi$ CC is CORRECT
74.

A conical iron piece having diameter 28 cm and height 30 cm is totally immersed into the water of a cylindrical vessel, resulting in the rise of water level by 6.4 cm. The diameter, in cm, of the vessel is :1). 3.52). $\frac{35}{2}$3). 324). 35

Answer» ANSWER for this QUESTION is 35
75.

The length of the diagonal of a rectangle with sides 4 m and 3 m would be1). 12 m2). 7 m3). 5 m4). 14 m

Answer» 7 m : SEEMS CORRECT
76.

A conical cup Is filled with Icecream. The ice-cream forms a hemispherical shape on Its open top.The height of the hemispherical part is 7 cm. The radius of the hemispherical part equals the height of the cone .Then the volume of the ice - cream is ($\pi$ = $\frac{22}{7}$))1). 1078 cubic cm2). 1708 cubic cm3). 7108 cubic cm4). 7180 cubic cm

Answer»

it from previous year SSC papers, OPTION 1 is the RIGHT ANSWER

77.

The radius of the base and the height of a right circular cone are doubled . The volume of the cone will be1). 8 times of the pervious volume2). three times of the previous volume3). $3\sqrt{2}$ times of the previous volume4). 6 times of the previous volume

Answer»

option 1 : 8 TIMES of the PERVIOUS VOLUME is correct

78.

The sides of a triangle are in the ratio 2:3:4. The perimeter of the triangle is 18 cm. The area ( in sq.cm.) of the triangle is1). 92). 363). $\sqrt{42}$4). $3\sqrt{15}$

Answer»

$3\sqrt{15}$ 

Sides of the TRIANGLE are: 2,6 & 8 respectively.

area $=\sqrt {\FRAC{2+6+8}{2} \TIMES (\frac{2+6+8}{2} - 2) \times (\frac{2+6+8}{2} - 6) \times (\frac{2+6+8}{2} - 8)} $

area = $3\sqrt{15}$ 

79.

How many tiles, each 4 decimetre square, will be required to cover the floor of a room 8 m long and 6 m broad 1). 2002). 2603). 2804). 300

Answer» OPTION 4 : 300 is CORRECT
80.

The volume of a metallic cylindrical pipe is 748 cu.cm.. Its length is 14 cm and external radius is 9 cm. Its thickness is (use $\pi$ = $\frac{22}{7}$)1). 1 cm2). 7 cm3). 17 cm4). 11 cm

Answer»

is 1 CM is the CORRECT ANSWER am i RIGHT

81.

If the total surface area of a cube is 96 cu.cm., its volume is1). 56 cu.cm.2). 16 cu.cm.3). 64 cu.cm.4). 36 cu.cm.

Answer»

is 16 cu.cm. is the CORRECT ANSWER am i RIGHT

82.

The length and breadth of a rectangular field are in the ratio of 3:2. If the perimeter of the field is 80m, its breadth (in metres) is :1). 182). 163). 104). 24

Answer»

Its very SIMPLE QUESTION 16 is the CORRECT ANSWER.

83.

The radius of a right circular cone is 3 cm and its height is 4 cm. The total surface area of the cone is1). 48.4 sq.cm2). 64.4 sq.cm3). 96.4 sq.cm4). 75.4 sq.cm

Answer»

75.4 sq.cm SEEMS CORRECT.

84.

A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be1). 1:22). 2:13). $1:\sqrt{2}$4). $\sqrt{2}:1$

Answer»

Right ANSWER for this QUESTION is $\sqrt{2}:1$

85.

ABC is an isosceles right angled triangle with $\angle B$ = $90^{0}$ . On the sides AC and AB, two equilateral triangles ACD and ABE have been constructed. The ratio of area of $\triangle ABE$ and $\triangle ACD$ is1). 1:32). 2:33). 1:24). $1:\sqrt{2}$

Answer» OPTION 3 is the ANSWER
86.

If the volume of a right circular cylinder is $9\pi h$ cu.m., where h is its height (in metres) then the di ameter of the base of the cylinder is equal to1). 3 m2). 6 m3). 9 m4). 12 m

Answer» 6 m SEEMS CORRECT.
87.

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is1). 2 cm2). 3 cm3). 4 cm4). 6 cm

Answer»

This question was asked some where in previous year papers of SSC, and CORRECT answer was 3 cm

88.

The ratio of the area of twoceles traingles having the same vertical angle ( i.e.angle between equal sides) is 1:4 . The ratio of their heights is1). 1:42). 2:53). 1:24). 3:4

Answer»

is OPTION 3 is the CORRECT ANSWER am i RIGHT

89.

If each side of a square is increased by 10%, its area will be increased by1). 10%2). 21%3). 44%4). 100%

Answer»

it from PREVIOUS year SSC PAPERS, option 2 is the right ANSWER

90.

The volume of a cuboid is twice the volume of a cube. If the dimensions of the cuboid are 9cm, 8 cm and 6 cm, the total surface area of the cube is:1). 722). 2163). 4324). 108

Answer»

I THINK OPTION 2 is the RIGHT ANSWER

91.

On increasing each side of a square by 50%, the ratio of the area of new square formed and the given square will be1). 9:52). 9:3.53). 9:74). 9:4

Answer» CORRECT ANSWER is: 9:4
92.

Three circles of diameter 10 cm each, are bound together by a rubber band, as shown In the figure.The length of the rubber band, (in cm ) if it is stretched as shown, is1). 302). $30+1\pi$3). $10\pi$4). $60+20\pi$

Answer» CORRECT ANSWER is: OPTION 2
93.

An equilateral triangle of side 6 cm has its comers cut off to form a regular hexagon. Area (in sq.cm.) of this regular hexagon will be1). $3\sqrt{3}$2). $3\sqrt{6}$3). $6\sqrt{3}$4). $\frac{5\sqrt{3}}{2}$

Answer» OPTION 3 is the RIGHT ANSWER
94.

The base and altitude of a right angled triangle are 12 cm and 5 cm respectively. The perpendicular distance of its hypotenuse from the opposite vertex is1). $4\frac{4}{13}$ cm2). $4\frac{8}{13}$ cm3). 5 cm4). 7 cm

Answer»

OPTION 2 is the CORRECT ANSWER 

95.

Two iron sheets each of diameter 6 cm are immersed in the water contained in a cylindrical vessel of radius 6 cm. The level of the water in the vessel will be raised by1). 1 cm2). 2 cm3). 3 cm4). 6 cm

Answer» OPTION 2 : 2 CM is CORRECT
96.

The length of diagonal of a square is $15\sqrt{2}$ cm. Its area is1). 112.5 sq.cm.2). 450 sq.cm.3). $\frac{225\sqrt{2}}{2}$ sq.cm.4). 225 sq.cm.

Answer» OPTION 4 is the RIGHT ANSWER
97.

The number of paving stones each measuring 2.5m x 2m required to pave a rectangular courtyard 30m long and 17.5 m wide , is1). 802). 333). 994). 105

Answer»

I THINK 105 is RIGHT

98.

By melting two solid metallic spheres of radii 1 cm and 6 cm, a hollow sphere of thickness 1 cm is made. The external radius of the hollow sphere will be1). 9 cm2). 6 cm3). 7 cm4). 8 cm

Answer» OPTION 1 is the RIGHT ANSWER
99.

A solid spherical copper ball, whose diameter is 14 cm, is melted and converted into a wire having diameter equal to 14 cm. The length of the wire is1). 27 cm2). $\frac{16}{3}$ cm3). 15 cm4). $\frac{28}{3}$ cm

Answer» CORRECT ANSWER is: OPTION 4
100.

Each edge of a regular tetrahedron is 4 cm. Its volume (in cubic cm) is1). $\frac{16\sqrt{3}}{3}$2). $16\sqrt{3}$3). $\frac{16\sqrt{2}}{3}$4). $16\sqrt{2}$

Answer»

i THINK OPTION 3 is CORRECT