MCQ 11 Mark
The surface area of a cube of side 27 cm is
- A$729 cm^2$
- B$2916 cm^2$
- ✓$4374 cm^2$
- D$19683 cm^2$
Answer
View full question & answer→Correct option: C.
$4374 cm^2$
C
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36 questions · timed · auto-graded
MCQ 21 Mark
The number of bricks, each measuring $25 cm \times 12.5 cm \times 7.5 cm$ required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies $5 \%$ of the volume of the wall, is
- A3040
- B5740
- ✓6080
- D8120
Answer
View full question & answer→Correct option: C.
6080
C
MCQ 31 Mark
A wooden box of dimensions $8 m \times 7 m \times 6 m$ is to carry rectangular boxes of dimensions $8 cm \times 7 cm \times 6 cm$. The maximum number of boxes that can be carried in the wooden box, is
- ✓1000000
- B1200000
- C7500000
- D9800000
Answer
View full question & answer→Correct option: A.
1000000
A
MCQ 41 Mark
How many bricks, each measuring $25 cm \times 12.5 cm \times 7.5 cm$ will be needed to construct a wall 15 m long, 1.8 m high and 37.5 cm thick?
- ✓4320
- B4400
- C4575
- D4660
Answer
View full question & answer→Correct option: A.
4320
A
MCQ 51 Mark
The length of the longest rod that can be placed in a room 30 m long, 24 m broad and 18 m high, is
- A30 m
- B$15 \sqrt{2} m$
- ✓$30 \sqrt{2} m$
- D60 m
Answer
View full question & answer→Correct option: C.
$30 \sqrt{2} m$
C
MCQ 61 Mark
A beam 9 m long, 40 cm wide and 20 cm deep is made up of iron which weighs 50 kg per cubic metre. The weight of the beam is
- A27 kg
- ✓36 kg
- C48 kg
- D56 kg
Answer
View full question & answer→Correct option: B.
36 kg
B
MCQ 71 Mark
A rectangular sand box is 5 m wide and 2 m long. How many cubic metres of sand is needed to fill the box upto a depth of 10 cm?
- ✓1
- B10
- C100
- D1000
Answer
View full question & answer→Correct option: A.
1
A
MCQ 81 Mark
The number of coins 1.5 cm in diameter and 0.2 cm thick to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm, is
- A380
- ✓450
- C472
- D540
Answer
View full question & answer→Correct option: B.
450
B
MCQ 91 Mark
The ratio between the radius of the base and the height of a cylinder is $2: 3$. If its volume is $1617 cm^3$, the total surface area of the cylinder is
- A$308 cm^2$
- B$462 cm^2$
- C$540 cm^2$
- ✓$707 cm^2$
Answer
View full question & answer→Correct option: D.
$707 cm^2$
D
MCQ 101 Mark
The ratio of total surface area to the lateral surface area of a cylinder with base radius 80 cm and height 20 cm, is
- A$2: 1$
- B$3: 1$
- C$4: 1$
- ✓$5: 1$
Answer
View full question & answer→Correct option: D.
$5: 1$
D
MCQ 111 Mark
The height of a cylinder is 14 cm and its curved surface are is 264 sq. cm. The volume of the cylinder is
- A$308 cm^3$
- ✓$396 cm^3$
- C$1232 cm^3$
- D$1848 cm^3$
Answer
View full question & answer→Correct option: B.
$396 cm^3$
B
MCQ 121 Mark
If the curved surface area of a cylinder is $1760 sq . cm$ and its base radius is 14 cm, then its height is
- A10 cm
- B15 cm
- ✓20 cm
- D40 cm
Answer
View full question & answer→Correct option: C.
20 cm
C
MCQ 131 Mark
If the diameter of a cylinder is 28 cm and its height is 20 cm, then total surface area (in $cm ^2$) is
- A2229
- B2292
- ✓2992
- D2993
Answer
View full question & answer→Correct option: C.
2992
C
MCQ 141 Mark
The volume of the cylinder whose height is 14 cm and diameter of base is 4 cm, is
- ✓$176 cm^3$
- B$196 cm^3$
- C$276 cm^3$
- D$352 cm^3$
Answer
View full question & answer→Correct option: A.
$176 cm^3$
A
MCQ 151 Mark
Two cubes have their volumes in the ratio 1 : 27. The ratio of their surface areas is
- A$1: 3$
- B$1: 8$
- ✓$1: 9$
- D$1: 18$
Answer
View full question & answer→Correct option: C.
$1: 9$
C
MCQ 161 Mark
If each side of a cube is doubled, its volume
- Ais doubled
- Bbecomes 4 times
- Cbecomes 6 times
- ✓becomes 8 times
Answer
View full question & answer→Correct option: D.
becomes 8 times
D
MCQ 171 Mark
If the length, breadth and height of a cuboid are in the ratio $6: 5: 4$ and the total surface area of the cuboid is $33300 cm^2$, then the breadth of the cuboid is
- A85 cm
- ✓75 cm
- C65 cm
- Dcannot be determined
Answer
View full question & answer→Correct option: B.
75 cm
B
MCQ 181 Mark
A 4 cm cube is cut into 1 cm cubes. The total surface area of all the small cubes is
- A$24 cm^2$
- B$96 cm^2$
- C$256 cm^2$
- ✓$384 cm^2$
Answer
View full question & answer→Correct option: D.
$384 cm^2$
D
MCQ 191 Mark
A cube of side 6 cm is cut into a number of cubes each of side 2 cm. The number of cubes formed will be
- A6
- B9
- C12
- ✓27
Answer
View full question & answer→Correct option: D.
27
D
MCQ 201 Mark
If three cubes of metal whose edges are 6 cm, 8 cm and 10 cm are melted and made into a single cube, then the edge of the new cube so formed will be
- A6 cm
- B8 cm
- ✓12 cm
- D24 cm
Answer
View full question & answer→Correct option: C.
12 cm
C
MCQ 211 Mark
Two cubes each with 8 cm edge are joined end to end. The surface area of the resulting cuboid is
- A$560 cm^2$
- ✓$640 cm^2$
- C$830 cm^2$
- D$1440 cm^2$
Answer
View full question & answer→Correct option: B.
$640 cm^2$
B
MCQ 221 Mark
The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is $12.8 m^3$. The breadth of the wall is
- A22.5 cm
- B25 cm
- C30 cm
- ✓40 cm
Answer
View full question & answer→Correct option: D.
40 cm
D
MCQ 231 Mark
The length of longest pole that can be placed on the floor of a room is 10 m and the length of longest pole that can be placed in the room is $10 \sqrt{2} m$. The height of the room is
- A6 cm
- B7.5 cm
- C8 cm
- ✓10 cm
Answer
View full question & answer→Correct option: D.
10 cm
D
MCQ 241 Mark
If the length of diagonal of a cube is $4 \sqrt{3} cm$, then the length of its edge is
- A2 cm
- ✓4 cm
- C6 cm
- D8 cm
Answer
View full question & answer→Correct option: B.
4 cm
B
MCQ 251 Mark
The volume of a cube is 2744 cu.cm. Its surface area is
- A$196 cm^2$
- B$588 cm^2$
- C$784 cm^2$
- ✓$1176 cm^2$
Answer
View full question & answer→Correct option: D.
$1176 cm^2$
D
MCQ 261 Mark
The volume of a cube with surface area 384 sq. cm, is
- A$216 cm^3$
- B$256 cm^3$
- C$484 cm^3$
- ✓$512 cm^3$
Answer
View full question & answer→Correct option: D.
$512 cm^3$
D
MCQ 271 Mark
The perimeter of one face of a cube is 40 cm. The volume of the cube (in $cm ^3$) is
- A160
- B800
- ✓1000
- D1600
Answer
View full question & answer→Correct option: C.
1000
C
MCQ 281 Mark
If the length, breadth and height of a cuboid are 2 m, 2 m, and 1 m, respectively, then its surface area (in $m ^2$) is
- A8
- B12
- ✓16
- D24
Answer
View full question & answer→Correct option: C.
16
C
MCQ 291 Mark
A cuboid is shown in the figure. The area of the rectangle ABCD is given as x square units. The surface area of the cuboid in terms of x is:
- A$4 x$
- B$2 x$
- C$\frac{5}{2} x$
- ✓Data not sufficient
Answer
View full question & answer→Correct option: D.
Data not sufficient
D
MCQ 301 Mark
A cube of side length $a$ is cut into equal halves as shown. What will be the total surface area of each half when compared with the original cube?
- ✓Surface area of each cut part will be half of the original cube
- BSurface area of each part will be less than half of the original cube
- CSurface area of each part will be more than half of the original cube
- DNone of these
Answer
View full question & answer→Correct option: A.
Surface area of each cut part will be half of the original cube
A
MCQ 311 Mark
A sheet of paper of dimensions $l \times b$ is folded along its length to get a hollow cylinder. Lateral surface area of the cylinder so formed is:
- A$2 \pi l b$
- B$\pi b l$
- ✓$l b$
- D$\pi(l+b) \times b$
Answer
View full question & answer→Correct option: C.
$l b$
C
MCQ 321 Mark
From the pipe of inner radius 0.75 cm, water flows at the rate of 7 m per second. The volume of water delivered by the pipe in 1 hour is:
- A4000 litres
- B4250 litres
- C4350 litres
- ✓4455 litres
Answer
View full question & answer→Correct option: D.
4455 litres
D
MCQ 331 Mark
A swimming pool is 200 m by 50 m and has an average depth of 2 m. By the end of a summer day, the water level drops by 2 cm. Volume of water used on that day is:
- ✓$200 m^3$
- B$180 m^3$
- C$175 m^3$
- D$160 m^3$
Answer
View full question & answer→Correct option: A.
$200 m^3$
A
MCQ 341 Mark
Two friends Kabir and Manjeet were solving a problem on cylinder. Kabir calculated its volume and Manjeet calculated its curved surface area. Interestingly, their answers were numerically same. It is possible:
- Afor any radius and any length of the cylinder.
- ✓for any height of the cylinder, but its radius should be 2 units.
- Cfor any radius of the cylinder, but its height should be 2 units.
- Donly when radius of the cylinder as well as its height is equal to 2 units.
Answer
View full question & answer→Correct option: B.
for any height of the cylinder, but its radius should be 2 units.
B
MCQ 351 Mark
The radius of a wire is decreased to one-third. If volume remains the same, length will increase:
- A2 times
- B3 times
- C6 times
- ✓9 times
Answer
View full question & answer→Correct option: D.
9 times
D
MCQ 361 Mark
The sum of length, breadth and depth of a cuboid is 19 cm and its diagonal is $5 \sqrt{5} cm$. Surface area of the cuboid is:
- A$200 cm^2$
- ✓$236 cm^2$
- C$252 cm^2$
- D$274 cm^2$
Answer
View full question & answer→Correct option: B.
$236 cm^2$
B