MCQOPTIONS
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MCQOPTIONS
This section includes 804 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.
| 101. |
A swimming bath is 24 m long and 15 m broad. When a number of men dive into the bath, the height of the water rises by 1 cm. If the average amount of water displaced by one of the men be 0.1 cu.m, how many men are there in the bath ? |
| A. | 2 |
| B. | 6 |
| C. | 2 |
| D. | 6 |
| Answer» C. 2 | |
| 102. |
A rectangular water tank is open at the top. Its capacity is 24 m3. Its length and breadth are 4 m and 3 m respectively. Ignoring the thickness of the material used for building the tank, the total cost of painting the inner and outer surface of the tank at the rate of Rs. 10 per m2 is : |
| A. | s. 400 |
| B. | s. 500 |
| C. | s. 600 |
| D. | s. 800 |
| Answer» E. | |
| 103. |
A school room is be built to accommodate 70 children so as to allow 2.2 m2 of floor and 11 m3 of space for each child. If the room be 14 metres long, what must be its breadth and height ? |
| A. | 1 m, 4 m |
| B. | 1 m, 5 m |
| C. | 2 m, 5.5 m |
| D. | 3 m, 6 m |
| Answer» C. 2 m, 5.5 m | |
| 104. |
A rectangular paper of 44 cm long and 6 cm wide is rolled to form a cylinder of height equal to width of the paper. The radius of the base of the cylinder so rolled is : |
| A. | .5 cm |
| B. | cm |
| C. | cm |
| D. | 4 cm |
| Answer» D. 4 cm | |
| 105. |
The radius of base and curved surface area of a right cylinder is 'r' units and 4πrh square units respectively. The height of the cylinder is : |
| A. | $\frac{{\text{h}}}{2}$$ units |
| B. | h units |
| C. | h units |
| D. | h units |
| Answer» D. h units | |
| 106. |
A solid body is made up of a cylinder of radius r and height r, a cone of base radius r and height r fixed to the cylinder's one base and a hemisphere of radius r to its other base. The total volume of the body (given r = 2) is : |
| A. | π |
| B. | 6π |
| C. | 2π |
| D. | 4π |
| Answer» C. 2π | |
| 107. |
A cone of height 15 cm and base diameter 30 cm is carved out of a wooden sphere of radius 15 cm. The percentage of wood wasted is : |
| A. | 5% |
| B. | 0% |
| C. | 0% |
| D. | 5% |
| Answer» E. | |
| 108. |
A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21 cm. The metal everywhere is 0.4 cm thick. The volume of the metal is : |
| A. | 80.52 cm3 |
| B. | 06.24 cm3 |
| C. | 10 cm3 |
| D. | 16 cm3 |
| Answer» C. 10 cm3 | |
| 109. |
The ratio of the volume of a cube to that of a sphere which will fit inside the cube is : |
| A. | : 3π |
| B. | : π |
| C. | : π |
| D. | : π |
| Answer» D. : π | |
| 110. |
If the radii of two spheres are in the ratio 1 : 4, then their surface areas are in the ratio : |
| A. | : 2 |
| B. | : 4 |
| C. | : 8 |
| D. | : 16 |
| Answer» E. | |
| 111. |
If the diameter of a sphere is 6 m, its hemisphere will have a volume of : |
| A. | $18\pi $$ m3 |
| B. | $36\pi $$ m3 |
| C. | $72\pi $$ m3 |
| D. | one of these |
| Answer» B. $36\pi $$ m3 | |
| 112. |
The volume of a right circular cone which is obtained from a wooden cube of edge 4.2 dm wasting minimum amount of wood is : |
| A. | 9404 dm3 |
| B. | 94.04 dm3 |
| C. | 9.404 dm3 |
| D. | 940.4 dm3 |
| Answer» D. 940.4 dm3 | |
| 113. |
The ratio of the volume of a hemisphere and a cylinder circumscribing this hemisphere and having a common base is : |
| A. | : 2 |
| B. | : 3 |
| C. | : 4 |
| D. | : 5 |
| Answer» C. : 4 | |
| 114. |
If a hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cylinder of base diameter 8 cm, then the height of the cylinder is : |
| A. | cm |
| B. | $\frac{13}{3}$$ cm |
| C. | $\frac{14}{3}$$ cm |
| D. | cm |
| Answer» D. cm | |
| 115. |
A hollow spherical metallic ball has an external diameter 6 cm and is $$\frac{1}{2}$$ cm thick. The volume of metal used in the ball is : |
| A. | $37\frac{2}{3}{\text{ c}}{{\text{m}}^3}$$ |
| B. | $40\frac{2}{3}{\text{ c}}{{\text{m}}^3}$$ |
| C. | $41\frac{2}{3}{\text{ c}}{{\text{m}}^3}$$ |
| D. | $47\frac{2}{3}{\text{ c}}{{\text{m}}^3}$$ |
| Answer» E. | |
| 116. |
If three equal cubes are placed adjacently in a row, then the ratio of the total surface area of the new cuboid to the sum of the surface areas of the three cubes will be ? |
| A. | : 3 |
| B. | : 3 |
| C. | : 9 |
| D. | : 9 |
| Answer» E. | |
| 117. |
The surface area of a cube is 150 cm2. Its volume is : |
| A. | 4 $${\text{c}}{{\text{m}}^3}$$ |
| B. | 25 $${\text{c}}{{\text{m}}^3}$$ |
| C. | 50 $${\text{c}}{{\text{m}}^3}$$ |
| D. | 16 $${\text{c}}{{\text{m}}^3}$$ |
| Answer» C. 50 $${\text{c}}{{\text{m}}^3}$$ | |
| 118. |
The sum of perimeters of the six faces of a cuboid is 72 cm and the total surface area of the cuboid is 16 cm2. Find the longest possible length that can be kept inside the cuboid : |
| A. | .2 cm |
| B. | .8 cm |
| C. | .05 cm |
| D. | .36 cm |
| Answer» D. .36 cm | |
| 119. |
When a ball bounces, it rises to $$\frac{2}{3}$$ of the height from which it fell. If the ball is dropped from a height of 36 m, how high will it rise at the third bounce ? |
| A. | $10\frac{1}{3}$$ m |
| B. | $10\frac{2}{3}$$ m |
| C. | $12\frac{1}{3}$$ m |
| D. | $12\frac{2}{3}$$ m |
| Answer» C. $12\frac{1}{3}$$ m | |
| 120. |
A swimming pool 9 m wide and 12 m long and 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is : |
| A. | 60 m3 |
| B. | 70 m3 |
| C. | 20 m3 |
| D. | one of these |
| Answer» C. 20 m3 | |
| 121. |
A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surface will be : |
| A. | $\sqrt 2 :1$$ |
| B. | $1:\sqrt 2 $$ |
| C. | : 1 |
| D. | : 2 |
| Answer» B. $1:\sqrt 2 $$ | |
| 122. |
A pyramid has an equilateral triangle as its base of which each side is 1 m. Its slant edge is 3 m. The whole surface are of the pyramid is equal to : |
| A. | $\frac{{\sqrt 3+ 2\sqrt {13} }}{4}sq.m$$ |
| B. | $\frac{{\sqrt 3+ 3\sqrt {13} }}{4}sq.m$$ |
| C. | $\frac{{\sqrt 3+ 3\sqrt {35} }}{4}sq.m$$ |
| D. | $\frac{{\sqrt 3+ 2\sqrt {35} }}{4}sq.m$$ |
| Answer» D. $\frac{{\sqrt 3+ 2\sqrt {35} }}{4}sq.m$$ | |
| 123. |
The external and internal diameters of a hemispherical bowl are 10 cm and 8 cm respectively. What is the total surface area of the bowl ? |
| A. | 57 cm2 |
| B. | 86 cm2 |
| C. | 92 cm2 |
| D. | 02 cm2 |
| Answer» C. 92 cm2 | |
| 124. |
The diameter of a spare is 8 cm. It is melted and drawn into a wire of diameter 3 mm. The length of the wire is : |
| A. | 6.9 m |
| B. | 7.9 m |
| C. | 8.9 m |
| D. | 9.9 m |
| Answer» C. 8.9 m | |
| 125. |
If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to from a single sphere, the diameter of the new sphere will be : |
| A. | 2 cm |
| B. | 4 cm |
| C. | 0 cm |
| D. | 6 cm |
| Answer» C. 0 cm | |
| 126. |
Consider the volumes of the following1. A parallelepiped of length 5 cm, breadth 3 cm and height 4 cm2. A cube of each side 4 cm3. A cylinder of radius 3 cm and length 3 cm4. A sphere of radius 3 cmThe volumes of these in the decreasing order is : |
| A. | , 2, 3, 4 |
| B. | , 3, 2, 4 |
| C. | , 2, 3, 1 |
| D. | , 3, 2, 1 |
| Answer» E. | |
| 127. |
If the heights of two cones are in the ratio 7 : 3 and their diameters are in the ratio 6 : 7, what is the ratio of their volumes ? |
| A. | : 7 |
| B. | : 7 |
| C. | : 7 |
| D. | 2 : 7 |
| Answer» E. | |
| 128. |
Which one of the following figures will generate a cone when rotated about one of its straight edges ? |
| A. | n equilateral triangle |
| B. | sector of a circle |
| C. | segment of a circle |
| D. | right-angled triangle |
| Answer» E. | |
| 129. |
It is required to fix a pipe such that water flowing through it at a speedof 7 metres per minute fills a tank of capacity 440 cubic metres in 10 minutes. The inner radius of the pipe should be : |
| A. | $\sqrt 2 \,m$$ |
| B. | $ 2 \,m$$ |
| C. | $\frac{1}{{2 }}\,m$$ |
| D. | $\frac{1}{{\sqrt 2 }}\,m$$ |
| Answer» B. $ 2 \,m$$ | |
| 130. |
Each side of a cube is decreased by 25%. Find the ratio of the volume of the original cube and the resulting cube = ? |
| A. | 4 : 1 |
| B. | 7 : 64 |
| C. | 4 : 27 |
| D. | : 1 |
| Answer» D. : 1 | |
| 131. |
The base of a pyramid is an equilateral triangle of side 1 m. If the height of the pyramid is 4 metres, then the volume is : |
| A. | .550 m3 |
| B. | .577 m3 |
| C. | .678 m3 |
| D. | .750 m3 |
| Answer» C. .678 m3 | |
| 132. |
The capacities of two hemispherical vessels are 6.4 litres and 21.6 litres. The areas of inner curved surfaces of the vessels will be in the ratio of : |
| A. | $\sqrt 2 $$ : $$\sqrt 3 $$ |
| B. | : 3 |
| C. | : 9 |
| D. | 6 : 81 |
| Answer» D. 6 : 81 | |
| 133. |
A copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere (in cm) is : |
| A. | .5 cm |
| B. | cm |
| C. | .5 cm |
| D. | cm |
| Answer» C. .5 cm | |
| 134. |
If the volume and surface area of a sphere are numerically the same, then its radius is : |
| A. | unit |
| B. | units |
| C. | units |
| D. | units |
| Answer» D. units | |
| 135. |
A bucket is in the from of a frustum of a cone and holds 28.490 litres of water. The radii of the top and bottom are 28 cm and 21 cm respectively. Find the height of the bucket. |
| A. | 5 cm |
| B. | 0 cm |
| C. | 5 cm |
| D. | 0 cm |
| Answer» B. 0 cm | |
| 136. |
If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone : |
| A. | emains unaltered |
| B. | ecreases by 25% |
| C. | ncreases by 25% |
| D. | ncreases by 50% |
| Answer» C. ncreases by 25% | |
| 137. |
What length of solid cylinder 2 cm in diameter must be taken to cast into a hollow cylinder of external diameter 12 cm, 0.25 cm thick and 15 cm long ? |
| A. | 2.3215 cm |
| B. | 4.0123 cm |
| C. | 4.0625 cm |
| D. | 4.6023 cm |
| Answer» D. 4.6023 cm | |
| 138. |
The radius of a cylindrical cistern is 10 metres and its height is 15 metres. Initially the cistern is empty. We start filling the cistern with water through a pipe whose diameter is 50 cm. Water is coming out of the pipe with a velocity of 5 m/sec. How many minutes will it take in filling the cistern with water ? |
| A. | 0 min |
| B. | 0 min |
| C. | 0 min |
| D. | 0 min |
| Answer» E. | |
| 139. |
The diameter of the base of a cylindrical drum is 35 dm and the height is 24 dm. It is full of kerosene. How many tins each of size 25 cm × 22 cm × 35 cm can be filled with kerosene from the drum ? |
| A. | 20 |
| B. | 00 |
| C. | 020 |
| D. | 200 |
| Answer» E. | |
| 140. |
The curved surface area of a cylindrical pillar is 264 m2 and its volume is924 m3. Find the ratio of its diameter to its height. |
| A. | : 7 |
| B. | : 3 |
| C. | : 7 |
| D. | : 6 |
| Answer» C. : 7 | |
| 141. |
The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface. |
| A. | 0π m2 |
| B. | 0π m2 |
| C. | 0π m2 |
| D. | 0π m2 |
| Answer» D. 0π m2 | |
| 142. |
A larger cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. The ratio of the total surface areas of the smaller cubes and the larger cube is : |
| A. | : 1 |
| B. | : 2 |
| C. | 5 : 18 |
| D. | 7 : 20 |
| Answer» D. 7 : 20 | |
| 143. |
Total surface area of a cube whose side is 0.5 cm is : |
| A. | $\frac{1}{4}{\text{ c}}{{\text{m}}^2}$$ |
| B. | $\frac{1}{8}{\text{ c}}{{\text{m}}^2}$$ |
| C. | $\frac{3}{4}{\text{ c}}{{\text{m}}^2}$$ |
| D. | $\frac{3}{2}{\text{ c}}{{\text{m}}^2}$$ |
| Answer» E. | |
| 144. |
A rectangular water tank is 8 m high, 6 m long and 2.5 m wide. How many litres of water can it hold ? |
| A. | 20 litres |
| B. | 200 litres |
| C. | 2000 litres |
| D. | 20000 litres |
| Answer» E. | |
| 145. |
Rita and Meeta both are having lunch boxes of a cuboid shape. Length and breadth of Rita's lunch box are 10% more than that of Meeta's lunch box, but the depth of Rita's lunch box is 20% less than that of Meeta's lunch box. The ratio of the capacity of Rita's lunch box to that of Meeta's lunch box is : |
| A. | 1 : 15 |
| B. | 5 : 11 |
| C. | 21 : 125 |
| D. | 25 : 121 |
| Answer» D. 25 : 121 | |
| 146. |
The dimensions of a cuboid are 7 cm, 11 cm and 13 cm. The total surface area is : |
| A. | 11 $${\text{ c}}{{\text{m}}^2}$$ |
| B. | 22 $${\text{ c}}{{\text{m}}^2}$$ |
| C. | 001 $${\text{ c}}{{\text{m}}^2}$$ |
| D. | 002 $${\text{ c}}{{\text{m}}^2}$$ |
| Answer» C. 001 $${\text{ c}}{{\text{m}}^2}$$ | |
| 147. |
The curved surface area of a sphere is 5544 sq.cm. Its volume is : |
| A. | 2176 cm3 |
| B. | 3951 cm3 |
| C. | 8808 cm3 |
| D. | 2304 cm3 |
| Answer» D. 2304 cm3 | |
| 148. |
A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and the height are in the ratio 5 : 12, then the ratio of the total surface area of the cylinder to that of the cone is : |
| A. | : 1 |
| B. | 3 : 9 |
| C. | 7 : 9 |
| D. | 4 : 9 |
| Answer» D. 4 : 9 | |
| 149. |
The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is : |
| A. | 0π cm2 |
| B. | 8π cm2 |
| C. | 20π cm2 |
| D. | 36π cm2 |
| Answer» E. | |
| 150. |
Water is poured into an empty cylindrical tank at a constant rate for 5 minutes. After the water has been poured into the tank. the depth of the water is 7 feet. The radius of the tank is 100 feet. Which of the following is the best approximation for the rate at which the water was poured into the tank ? |
| A. | 40 cubic feet/sec |
| B. | 40 cubic feet/sec |
| C. | 00 cubic feet/sec |
| D. | 200 cubic feet/sec |
| Answer» D. 200 cubic feet/sec | |