310 + Interview Questions in MENSURATION in Mathematics Page 1 InterviewSolution

1.	The height of a triangle is Increased by 10%. To retain the original area of the triangle , its corresponding base must be decreased by1). 10%2). $9\frac{1}{7}$%3). 4). $9\frac{1}{11}$%
Answer» This question was asked some where in previous YEAR PAPERS of ssc, and correct answer was option 4

Discussion

2.	The radius of circle A is twice that of circle B and the radius of circle B is twice that of circle C. Their area will be in the ratio1). 16:4:12). 4:2:13). 1:2:44). 1:4:16
Answer» i THINK OPTION 1 is CORRECT

Discussion

3.	A child reshapes a cone made up of clay of height 24cm and radius 6cm into a sphere.The radius (in cm) of the sphere is1). 62). 123). 244). 48
Answer» 6 is the ANSWER

Discussion

4.	The area of an isosceles triangle is 4 square unit. If the length of the third aide is 2 unit, the length of each equal side is1). 4 units2). $2\sqrt{3}$ units3). $\sqrt{17}$ units4). $3\sqrt{2}$ units
Answer» $4 = \frac{1}{2} \times 4 \times h$ $h = 4 $ SIDE = $\sqrt{4^2 + 1^2}$ $= \sqrt{17}$

4.

The area of an isosceles triangle is 4 square unit. If the length of the third aide is 2 unit, the length of each equal side is1). 4 units2). $2\sqrt{3}$ units3). $\sqrt{17}$ units4). $3\sqrt{2}$ units

Answer»

$4 = \frac{1}{2} \times 4 \times h$

$h = 4 $

SIDE = $\sqrt{4^2 + 1^2}$

$= \sqrt{17}$

Discussion

5.	One side of a square is increased by 30%. To maintain the same area, the other side will have to be decreased by1). $23\frac{1}{13}$%2). $76\frac{12}{13}$%3). 30%4). 15%
Answer» OPTION 1 is the CORRECT ANSWER as per the answer KEY

Discussion

6.	Water flows into a tank which is 200 m long and 150m wide , through a pipe of cross-section 0.3m x 0.2m at 20 km / hour. Then the time (in hours) for the water level in the tank to reach 8m is1). 502). 1203). 1504). 200
Answer» 200 is the ANSWER

Discussion

7.	If the measure of one side and one diagonal of a rhombus are 10 cm and 16 cm respectively, then its area (in sq.cm.) is :1). 602). 643). 964). 100
Answer» OPTION 3 : SEEMS CORRECT

Discussion

8.	The area of a circle is proportional to the square of its radius. A small circle of radius 3 cm is drawn within a larger circle of radius 5 cm. Find the ratio of the area of the annular zone to the area of the larger circle. (Area of the annular zone is the difference between the area of the larger circle and that of the smaller circle).1). 9:162). 9:253). 16:254). 16:27
Answer» OPTION option 3 is the CORRECT ANSWER

Discussion

9.	Area of the incircle of an equilanteral triangle with side 6 cm is1). $\frac{\pi}{2}$ sq.m.2). $\sqrt{3}\pi$ sq.cm.3). $6\pi$ sq.m.4). $3\pi$ sq.m.
Answer» CORRECT ANSWER is: $3\pi$ sq.m.

Discussion

10.	The breadth of a rectangular hall is three-fourth of its length. If the areaof the floor is768 sq. m.,then the difference between the length and breadth of the hall is:1). 8 metres2). 12 metres3). 24 metres4). 32 metres
Answer» 8 METRES

Discussion

11.	In an equilateral triangle of side 24 cm, acircle is inscribed touching its sides. The area of the remaining portion of the triangle is ($\sqrt{3}$= 1.732)1). 98.55 sq. cm2). 100 sq. cm3). 101 sq. cm4). 95 sq. cm
Answer» I THINK 98.55 SQ. CM is RIGHT

Discussion

12.	A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made 1). 252). 753). 504). 125
Answer» 125 : - OPTION 4

Discussion

13.	There is a rectangular tank of length 180 m and breadth 120m in a circular field. If the area of the land portion of the field is 40000 sq.m. , what is the radius of the field(Take $\pi$ = $\frac{22}{7}$)1). 130 m2). 135 m3). 140 m4). 145 m
Answer» option 3 is the correct ANSWER as PER the answer KEY

Discussion

14.	In $\triangle ABC$ , O is the centroid and AD, BE, CF are three medians and the area of $\triangle AOE$ = 15 sq.cm., then area of quadrilateral BDOFis1). 20 sq.cm.2). 30 sq.cm.3). 40 sq.cm.4). 25 sq.cm.
Answer» OPTION 2 : SEEMS CORRECT

Discussion

15.	A sphere is cut into two hemispheres. One of them is used as bowl. It takes 8 bowlfuls of this to fill a conical vessel of height 12 cm and radius 6 cm . The radius of the sphere (in centimetre ) will be1). 32). 23). 44). 6
Answer» 3 : SEEMS CORRECT

Discussion

16.	The perimeter of an Isosceles triangle is 544 cm and each of the equal sides is $\frac{5}{6}$ times the base. What is the area ( in sq.cm.) of the triangle1). 381722). 183723). 318724). 13872
Answer» ANS is 13872. Ratio of sides is 5:6 Perimeter will be 16X = 544 Then, x = 34 Sides will be 170 , 170 and 204 Area by HERON's formula = 13872.

16.

The perimeter of an Isosceles triangle is 544 cm and each of the equal sides is $\frac{5}{6}$ times the base. What is the area ( in sq.cm.) of the triangle1). 381722). 183723). 318724). 13872

Answer»

ANS is 13872.

Ratio of sides is 5:6 Perimeter will be 16X = 544

Then, x = 34

Sides will be 170 , 170 and 204

Area by HERON's formula = 13872.

Discussion

17.	The perimeter of the base of a right circular cone is 8 cm. If the height of the cone is 21 cm. then its volume is:1). $108\pi$ cu.cm.2). $\frac{112}{\pi}$ cu.cm.3). $112\pi$ cu.cm.4). $\frac{108}{\pi}$ cu.cm.
Answer» I have read it SOMEWHERE $\FRAC{112}{\pi}$ cu.cm. is CORRECT

Discussion

18.	If the length of a rectangular plot of land is increased by 5% and the breadth is decreased by 10%,how much will its area increase or decrease 1). 6.5% increase2). 5.5% decrease3). 5.5% increase4). 6.5% decrease
Answer» 5.5% DECREASE is the ANSWER

Discussion

19.	If a hemisphere is melted and four spheres of equal volume are made, the radius of each sphere will be equal to1). $\frac{1}{4}$ th of the radius of the hemisphere2). radius of the hemisphere3). $\frac{1}{2}$ of the radius of the hemisphere4). $\frac{1}{6}$ th of the radius of the hemisphere
Answer» RADIUS of the HEMISPHERE is the BEST SUITED

Discussion

20.	From a solid cylinder whose height is 12 cm and diameter 10cm, a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is approximately ( $\pi$ = $\frac{22}{7}$)1). 942.86 cu.cm.2). 314.29 cu.cm.3). 628.57 cu.cm.4). 450.76 cu.cm.
Answer» 314.29 cu.cm. is the ANSWER

Discussion

21.	If the base of a right pyramid is triangle of sides 5 cm,12 cm,13 cm and its volume is 330 cu.cm., then its height (in cm) will be1). 332). 323). 114). 22
Answer» OPTION 1 is the RIGHT ANSWER

Discussion

22.	The difference of perimeter and diameter of a circle is X unit. The diameter of the circle is1). $\frac{X}{n-1}$ unit2). $\frac{X}{n+1}$ unit3). $\frac{X}{n}$ unit4). $(\frac{X}{n}-1)$ unit
Answer» Its TOUGH but OPTION 1 SEEMS CORRECT

Discussion

23.	A circle and a square have equal areas. The ratio of a aide of the square and the radius of the circle is1). $1:\sqrt{\pi}$2). $\sqrt{\pi}:1$3). $1:\pi$4). $\pi:1$
Answer» $\SQRT{\PI}:1$ : SEEMS CORRECT

Discussion

24.	The a«a Of a right-angled isose celes triangle having hypotenuse $16\sqrt{2}$ cm is1). 144 sq.cm.2). 128 sq.cm.3). 112 sq.cm.4). 110 sq.cm.
Answer» RIGHT ANSWER is 128 sq.cm.

Discussion

25.	The radius of the base and height of a right circular cone are in fee redo 5 : 12. If the volume of the cone is $314\frac{2}{7}$ cu.cm.,the slant height (in cm) of the cone will be1). 122). 133). 154). 17
Answer» I THINK OPTION 2 is the RIGHT ANSWER

Discussion

26.	The height of an equilateral triangle is $4\sqrt{3}$ cm. The ratio of the area of its circumcircle to that of its in-circle is1). 2:12). 4:13). 4:34). 3:2
Answer» 4:1 is the ANSWER

Discussion

27.	A copper rod of 1 cm diameter and 8 cm length is drawn into a wire of uniform diameter and 18 m length. The radius (in cm) of the wire is1). $\frac{1}{15}$2). $\frac{1}{30}$3). $\frac{2}{15}$4). 15
Answer» I THINK $\FRAC{1}{30}$ is RIGHT

Discussion

28.	The length (in metres) of the longest rod that can be put in a room of dimensions 10 m x 10 m x 5 m is1). $15\sqrt{3}$2). 153). $10\sqrt{2}$4). $5\sqrt{3}$
Answer» OPTION 2 is the RIGHT ANSWER

Discussion

29.	Area of the floor of a cubical room is 48 sq.m. The length of the longest rod that can be kept in that room is1). 9 metre2). 12 metre3). 18 metre4). 6 metre
Answer» Its TOUGH but OPTION 2 SEEMS CORRECT

Discussion

30.	The radius of a circle is increased by 1%. How much does the area of the circle increase 1). 1%2). 1.1%3). 2%4). 2.01%
Answer» is OPTION 4 is the CORRECT ANSWER am i RIGHT

Discussion

31.	What is the area of a triangle having perimeter 32cm, one side 1lcm and difference of other two sides 5cm1). $8\sqrt{30}$ sq.cm2). $5\sqrt{35}$ sq.cm3). $6\sqrt{30}$ sq.cm4). $8\sqrt{2}$ sq.cm
Answer» OPTION 1 is the CORRECT ANSWER as per the answer key

Discussion

32.	The length of a rectangular garden is 12 metres and its breadth is 5 metres. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden :1). $2\sqrt{30}$ m2). $\sqrt{13}$ m3). 13 m4). $8\sqrt{15}$ m
Answer» Its TOUGH but OPTION 1 SEEMS CORRECT

Discussion

33.	The perimeter of a rectangle and a square are 160 m each. The area of the rectangle is less than that of the square by 100 sq m. The length of the rectangle is1). 30 m2). 60 m3). 40 m4). 50 m
Answer» This question was asked some where in previous year papers of SSC, and CORRECT ANSWER was 50 m

Discussion

34.	If the circumference of a circle is reduced by 50%. its area will be reduced by1). 12.5%2). 25%3). 50%4). 75%
Answer» OPTION 4 is the RIGHT ANSWER

Discussion

35.	The length of rectangle is increased by 60%. By what percent would the breadth to be decreased to maintain the same area1). $37\frac{1}{2}$%2). 60%3). 75%4). 120%
Answer» HELLO, $37\frac{1}{2}$% is CORRECT

Discussion

36.	The area of the parallelogram whose length is 30 cm, width is 20 cm and one diagonal is 40 cm is1). $200\sqrt{15}$ sq.cm.2). $100\sqrt{15}$ sq.cm.3). $300\sqrt{15}$ sq.cm.4). $150\sqrt{15}$ sq.cm.
Answer» $150\sqrt{15}$ sq.cm. : - OPTION 4

Discussion

37.	If the surface areas of two spheres are in the ratio 9 : 16. the ratio of their volumes is1). 16:92). 27:643). 64:274). 9:16
Answer» I THINK OPTION 2 is the RIGHT ANSWER

Discussion

38.	The whole surface of a cube is 150 sq.cm. Then the volume of the cube is1). 125 cu.cm.2). 216 cu.cm.3). 343 cu.cm.4). 512 cu.cm.
Answer» Its very SIMPLE QUESTION 125 cu.cm. is the CORRECT ANSWER.

Discussion

39.	The ratio of the radii of two wheels is 3:4. The ratio of their circumference is1). 4:32). 3:43). 2:34). 3:2
Answer» This question was asked some where in PREVIOUS year papers of SSC, and CORRECT ANSWER was option 2

Discussion

40.	The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be $\frac{1}{27}$th of the volume of the given cone,at what height above the base is the section made 1). 19 cm2). 20 cm3). 12 cm4). 15 cm
Answer» RIGHT ANSWER for this QUESTION is 20 CM

Discussion

41.	The volume (in cu.m.) of rain water that can be collected from 1.5 hectares of ground in a rainfall of 5 cm is1). 752). 7503). 75004). 75000
Answer» 750 : SEEMS CORRECT

Discussion

42.	The base of a right prism is an equilateral triangle of side 8 cm and height of the prism is 10 cm. Then the volume of the prism is1). $320\sqrt{3}$ cu.cm.2). $160\sqrt{3}$ cu.cm.3). $150\sqrt{3}$ cu.cm.4). $300\sqrt{3}$ cu.cm.
Answer» OPTION 2 is the RIGHT ANSWER

Discussion

43.	If the radius of the base of a cone be doubled and height is left unchanged,then ratio of the volume of new cone to that of the original cone will be:1). 1:42). 2:13). 1:24). 4:1
Answer» ANSWER for this QUESTION is OPTION 4

Discussion

44.	A wire is bent into the form of a circle, whose area is 154 sq.cm.. If the same wire is bent Into the form of an equilateral triangle, the approximate area of the equilateral triangle is1). 93.14 sq.cm.2). 90.14 sq.cm.3). 83.14 sq.cm.4). 39.14 sq.cm.
Answer» 93.14 sq.cm. is the CORRECT ANSWER as PER the SSC answer KEY

Discussion

45.	The perimeter of a rhombus is 40 cm and the measure of an angle is $60^{0}$, then the area of it is :1). $100\sqrt{3}$ sq.cm.2). $50\sqrt{3}$ sq.cm.3). $160\sqrt{3}$ sq.cm.4). 100 sq.cm.
Answer» $50\sqrt{3}$ sq.cm. : - is CORRECT HENCE OPTION 2

Discussion

46.	A conical flask is full of water.The flask has base radius r and height h. This water is poured into a cylindrical flask of base radius m. The height of water in the cylindrical flask is1). $\frac{m}{2h}$2). $\frac{h}{2}m^{2}$3). $\frac{2h}{m}$4). $\frac{h}{3m^{2}}$
Answer» OPTION 4 is the RIGHT ONE

Discussion

47.	A copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere (in cm) is1). 2.52). 33). 3.54). 4
Answer» RIGHT ANSWER is 3

Discussion

48.	PQRS is a square with side 10 cm. A, B, C and D are mid- points of PQ, QR, RS and SP respeclively. Then the perimeter of the square ABCD so formed is1). $10\sqrt{2}$ cm2). $20\sqrt{2}$ cm3). $25\sqrt{2}$ cm4). $15\sqrt{2}$ cm
Answer» $20\SQRT{2}$ cm : OPTION 2 is the correct answer One side of the sequare formed by JOINING the mid points is $ = \sqrt{5^2 + 5^2} = 5 \sqrt{2} $ PERIMETER $ = 4 \times 5 \sqrt{2} $ $ = 20 \sqrt{2} $

48.

PQRS is a square with side 10 cm. A, B, C and D are mid- points of PQ, QR, RS and SP respeclively. Then the perimeter of the square ABCD so formed is1). $10\sqrt{2}$ cm2). $20\sqrt{2}$ cm3). $25\sqrt{2}$ cm4). $15\sqrt{2}$ cm

Answer»

$20\SQRT{2}$ cm : OPTION 2 is the correct answer

One side of the sequare formed by JOINING the mid points is $ = \sqrt{5^2 + 5^2} = 5 \sqrt{2} $

PERIMETER $ = 4 \times 5 \sqrt{2} $

$ = 20 \sqrt{2} $

Discussion

49.	In a right angled triangle $\triangle PQR$, PR is the hypotenuse of length 20 cm, $\angle PRQ$ = $30^{0}$, the area of the triangle is1). $50\sqrt{3}$ sq.cm.2). $100\sqrt{3}$ sq.cm.3). $25\sqrt{3}$ sq.cm.4). $\frac{100}{\sqrt{3}}$
Answer» Its TOUGH but OPTION 1 SEEMS CORRECT

Discussion

50.	ABCD is a parallelogram. BC is produced to Q such that BC = CQ. Then1). area ($\triangle BCP$) = area ($\triangle DPQ$)2). area ($\triangle BCP$) > area ($\triangle DPQ$)3). area ($\triangle BCP$) < area ($\triangle DPQ$)4). area ($\triangle BCP$) + area ($\triangle DPQ$) = area ($\triangle BCD$)
Answer» I am not SURE, may be area ($\triangle BCP$) = area ($\triangle DPQ$) is correct

Discussion

Explore topic-wise InterviewSolutions in .

The height of a triangle is Increased by 10%. To retain the original area of the triangle , its corresponding base must be decreased by1). 10%2). $9\frac{1}{7}$%3). 4). $9\frac{1}{11}$%

The radius of circle A is twice that of circle B and the radius of circle B is twice that of circle C. Their area will be in the ratio1). 16:4:12). 4:2:13). 1:2:44). 1:4:16

A child reshapes a cone made up of clay of height 24cm and radius 6cm into a sphere.The radius (in cm) of the sphere is1). 62). 123). 244). 48

The area of an isosceles triangle is 4 square unit. If the length of the third aide is 2 unit, the length of each equal side is1). 4 units2). $2\sqrt{3}$ units3). $\sqrt{17}$ units4). $3\sqrt{2}$ units

One side of a square is increased by 30%. To maintain the same area, the other side will have to be decreased by1). $23\frac{1}{13}$%2). $76\frac{12}{13}$%3). 30%4). 15%

Water flows into a tank which is 200 m long and 150m wide , through a pipe of cross-section 0.3m x 0.2m at 20 km / hour. Then the time (in hours) for the water level in the tank to reach 8m is1). 502). 1203). 1504). 200

If the measure of one side and one diagonal of a rhombus are 10 cm and 16 cm respectively, then its area (in sq.cm.) is :1). 602). 643). 964). 100

Area of the incircle of an equilanteral triangle with side 6 cm is1). $\frac{\pi}{2}$ sq.m.2). $\sqrt{3}\pi$ sq.cm.3). $6\pi$ sq.m.4). $3\pi$ sq.m.

The breadth of a rectangular hall is three-fourth of its length. If the areaof the floor is768 sq. m.,then the difference between the length and breadth of the hall is:1). 8 metres2). 12 metres3). 24 metres4). 32 metres

In an equilateral triangle of side 24 cm, acircle is inscribed touching its sides. The area of the remaining portion of the triangle is ($\sqrt{3}$= 1.732)1). 98.55 sq. cm2). 100 sq. cm3). 101 sq. cm4). 95 sq. cm

A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made 1). 252). 753). 504). 125

There is a rectangular tank of length 180 m and breadth 120m in a circular field. If the area of the land portion of the field is 40000 sq.m. , what is the radius of the field(Take $\pi$ = $\frac{22}{7}$)1). 130 m2). 135 m3). 140 m4). 145 m

In $\triangle ABC$ , O is the centroid and AD, BE, CF are three medians and the area of $\triangle AOE$ = 15 sq.cm., then area of quadrilateral BDOFis1). 20 sq.cm.2). 30 sq.cm.3). 40 sq.cm.4). 25 sq.cm.

A sphere is cut into two hemispheres. One of them is used as bowl. It takes 8 bowlfuls of this to fill a conical vessel of height 12 cm and radius 6 cm . The radius of the sphere (in centimetre ) will be1). 32). 23). 44). 6

The perimeter of an Isosceles triangle is 544 cm and each of the equal sides is $\frac{5}{6}$ times the base. What is the area ( in sq.cm.) of the triangle1). 381722). 183723). 318724). 13872

The perimeter of the base of a right circular cone is 8 cm. If the height of the cone is 21 cm. then its volume is:1). $108\pi$ cu.cm.2). $\frac{112}{\pi}$ cu.cm.3). $112\pi$ cu.cm.4). $\frac{108}{\pi}$ cu.cm.

If the length of a rectangular plot of land is increased by 5% and the breadth is decreased by 10%,how much will its area increase or decrease 1). 6.5% increase2). 5.5% decrease3). 5.5% increase4). 6.5% decrease

If a hemisphere is melted and four spheres of equal volume are made, the radius of each sphere will be equal to1). $\frac{1}{4}$ th of the radius of the hemisphere2). radius of the hemisphere3). $\frac{1}{2}$ of the radius of the hemisphere4). $\frac{1}{6}$ th of the radius of the hemisphere

From a solid cylinder whose height is 12 cm and diameter 10cm, a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is approximately ( $\pi$ = $\frac{22}{7}$)1). 942.86 cu.cm.2). 314.29 cu.cm.3). 628.57 cu.cm.4). 450.76 cu.cm.

If the base of a right pyramid is triangle of sides 5 cm,12 cm,13 cm and its volume is 330 cu.cm., then its height (in cm) will be1). 332). 323). 114). 22

The difference of perimeter and diameter of a circle is X unit. The diameter of the circle is1). $\frac{X}{n-1}$ unit2). $\frac{X}{n+1}$ unit3). $\frac{X}{n}$ unit4). $(\frac{X}{n}-1)$ unit

A circle and a square have equal areas. The ratio of a aide of the square and the radius of the circle is1). $1:\sqrt{\pi}$2). $\sqrt{\pi}:1$3). $1:\pi$4). $\pi:1$

The a«a Of a right-angled isose celes triangle having hypotenuse $16\sqrt{2}$ cm is1). 144 sq.cm.2). 128 sq.cm.3). 112 sq.cm.4). 110 sq.cm.

The radius of the base and height of a right circular cone are in fee redo 5 : 12. If the volume of the cone is $314\frac{2}{7}$ cu.cm.,the slant height (in cm) of the cone will be1). 122). 133). 154). 17

The height of an equilateral triangle is $4\sqrt{3}$ cm. The ratio of the area of its circumcircle to that of its in-circle is1). 2:12). 4:13). 4:34). 3:2

A copper rod of 1 cm diameter and 8 cm length is drawn into a wire of uniform diameter and 18 m length. The radius (in cm) of the wire is1). $\frac{1}{15}$2). $\frac{1}{30}$3). $\frac{2}{15}$4). 15

The length (in metres) of the longest rod that can be put in a room of dimensions 10 m x 10 m x 5 m is1). $15\sqrt{3}$2). 153). $10\sqrt{2}$4). $5\sqrt{3}$

Area of the floor of a cubical room is 48 sq.m. The length of the longest rod that can be kept in that room is1). 9 metre2). 12 metre3). 18 metre4). 6 metre

The radius of a circle is increased by 1%. How much does the area of the circle increase 1). 1%2). 1.1%3). 2%4). 2.01%

What is the area of a triangle having perimeter 32cm, one side 1lcm and difference of other two sides 5cm1). $8\sqrt{30}$ sq.cm2). $5\sqrt{35}$ sq.cm3). $6\sqrt{30}$ sq.cm4). $8\sqrt{2}$ sq.cm

The length of a rectangular garden is 12 metres and its breadth is 5 metres. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden :1). $2\sqrt{30}$ m2). $\sqrt{13}$ m3). 13 m4). $8\sqrt{15}$ m

The perimeter of a rectangle and a square are 160 m each. The area of the rectangle is less than that of the square by 100 sq m. The length of the rectangle is1). 30 m2). 60 m3). 40 m4). 50 m

If the circumference of a circle is reduced by 50%. its area will be reduced by1). 12.5%2). 25%3). 50%4). 75%

The length of rectangle is increased by 60%. By what percent would the breadth to be decreased to maintain the same area1). $37\frac{1}{2}$%2). 60%3). 75%4). 120%

The area of the parallelogram whose length is 30 cm, width is 20 cm and one diagonal is 40 cm is1). $200\sqrt{15}$ sq.cm.2). $100\sqrt{15}$ sq.cm.3). $300\sqrt{15}$ sq.cm.4). $150\sqrt{15}$ sq.cm.

If the surface areas of two spheres are in the ratio 9 : 16. the ratio of their volumes is1). 16:92). 27:643). 64:274). 9:16

The whole surface of a cube is 150 sq.cm. Then the volume of the cube is1). 125 cu.cm.2). 216 cu.cm.3). 343 cu.cm.4). 512 cu.cm.

The ratio of the radii of two wheels is 3:4. The ratio of their circumference is1). 4:32). 3:43). 2:34). 3:2

The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be $\frac{1}{27}$th of the volume of the given cone,at what height above the base is the section made 1). 19 cm2). 20 cm3). 12 cm4). 15 cm

The volume (in cu.m.) of rain water that can be collected from 1.5 hectares of ground in a rainfall of 5 cm is1). 752). 7503). 75004). 75000

The base of a right prism is an equilateral triangle of side 8 cm and height of the prism is 10 cm. Then the volume of the prism is1). $320\sqrt{3}$ cu.cm.2). $160\sqrt{3}$ cu.cm.3). $150\sqrt{3}$ cu.cm.4). $300\sqrt{3}$ cu.cm.

If the radius of the base of a cone be doubled and height is left unchanged,then ratio of the volume of new cone to that of the original cone will be:1). 1:42). 2:13). 1:24). 4:1

A wire is bent into the form of a circle, whose area is 154 sq.cm.. If the same wire is bent Into the form of an equilateral triangle, the approximate area of the equilateral triangle is1). 93.14 sq.cm.2). 90.14 sq.cm.3). 83.14 sq.cm.4). 39.14 sq.cm.

The perimeter of a rhombus is 40 cm and the measure of an angle is $60^{0}$, then the area of it is :1). $100\sqrt{3}$ sq.cm.2). $50\sqrt{3}$ sq.cm.3). $160\sqrt{3}$ sq.cm.4). 100 sq.cm.

A conical flask is full of water.The flask has base radius r and height h. This water is poured into a cylindrical flask of base radius m. The height of water in the cylindrical flask is1). $\frac{m}{2h}$2). $\frac{h}{2}m^{2}$3). $\frac{2h}{m}$4). $\frac{h}{3m^{2}}$

A copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere (in cm) is1). 2.52). 33). 3.54). 4

PQRS is a square with side 10 cm. A, B, C and D are mid- points of PQ, QR, RS and SP respeclively. Then the perimeter of the square ABCD so formed is1). $10\sqrt{2}$ cm2). $20\sqrt{2}$ cm3). $25\sqrt{2}$ cm4). $15\sqrt{2}$ cm

In a right angled triangle $\triangle PQR$, PR is the hypotenuse of length 20 cm, $\angle PRQ$ = $30^{0}$, the area of the triangle is1). $50\sqrt{3}$ sq.cm.2). $100\sqrt{3}$ sq.cm.3). $25\sqrt{3}$ sq.cm.4). $\frac{100}{\sqrt{3}}$

ABCD is a parallelogram. BC is produced to Q such that BC = CQ. Then1). area ($\triangle BCP$) = area ($\triangle DPQ$)2). area ($\triangle BCP$) > area ($\triangle DPQ$)3). area ($\triangle BCP$) < area ($\triangle DPQ$)4). area ($\triangle BCP$) + area ($\triangle DPQ$) = area ($\triangle BCD$)