Question 11 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The volume and surface Area of a sphere are related to each other by radius.
Reason: Relation between Surface Area S and Volume V is $\text{S}^{(3)}=36\text{ p}_\text{i}\text{v}^{(2)}$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
AnswerBoth Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 21 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the outer and inner diameter of a circular path is 10m and 6m respectively, then area of the path is $16\pi\text{m}^2.$
Reason: If R and r be the radius of outer and inner circular path respectively, then area of circular path $=\pi(\text{R}2-\text{r}2).$
- Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
- Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
- Assertion (A) is true but reason (R) is false.
- Assertion (A) is false but reason (R) is true.
Answer
- Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
View full question & answer→Question 31 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A cone is solid figure.
Reason: A cone is generated when rectangular sheet is rotated about its axis.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Assertion is correct but reason is false.
View full question & answer→MCQ 41 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If a ball shape of a sphere has surface area $221.76\ cm^2$ then it’s diameter is $8.4\ cm$
Reason: If the radius of sphere be r then the surface area, $\text{S}=4\pi\text{r}^\text{2}$
- ✓
Both Assertion and reason are correct and reason is correct explanation for Assertion.
- B
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- C
Assertion is correct but reason is false.
- D
Both Assertions and reason are false.
AnswerCorrect option: A. Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 51 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The curved surface area of a cone base radius 3cm and height 4cm is $15\pi\text{cm}^2$
Reason: Curved surface area of a cone $=\pi\text{cm}^2\text{h}$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Assertion is correct but reason is false.
View full question & answer→Question 61 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Volume of sphere $=\frac{4}{3}\pi\text{r}^3$ and it’s surface area $4\pi\text{r}^2$
Reason: If the volumes of two spheres are in the ratio 27 : 8 then their surface area are in ratio 9 : 4
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 71 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The radius of hemispherical balloon increase from 6cm to 12cm as air is being pumped into it the ratio of the surfaces areas of balloon in two cases is 1 : 4.
Reason: Total surface area of hemisphere $=3\pi\text{r}^2$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct but reason is not correct explanation for Assertion
View full question & answer→MCQ 81 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $220\ cm^2$ the curved surface area of a right circular cone whose slant height is $10\ cm$ and base radius is $7\ cm.$
Reason: Curved surface area $=\pi\text{r}\text{l}$
- ✓
Both Assertion and reason are correct and reason is correct explanation for Assertion.
- B
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- C
Assertion is correct but reason is false.
- D
Both Assertions and reason are false.
AnswerCorrect option: A. Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 91 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Two circular cylinder of equal volumes have their height in the ratio 1 : 2 then ratio of their radii is $\sqrt{2:1}$
Reason: Releation between the height and radius of volume is inversely proportional.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 101 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Number of spherical balls that can be made out of a solid cube lead whose edge 44cm each ball being 4cm in diameter is 2541.
Reason: Number of balls $= \frac{\text{volume of one ball}}{\text{volume of lead}}$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Assertion is correct but reason is false.
View full question & answer→Question 111 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The total surface area of a cone whose radius is$\frac{\text{r}}{2}$and slant height 2l is $(\pi)\text{r}(\text{l}+\frac{\text{r}}{4}).$
Reason: Total surface area of cone is $\pi\text{r}\text{(l+r)}$ where r is radius and l is the slant height of the cone.
- Both assertion and reason are true and reason is the correct explanation of assertion.
- Both assertion and reason are true but reason is not the correct explanation of assertion.
- Assertion is true but reason is false.
- Assertion is false but reason is true
Answer
- Both assertion and reason are true and reason is the correct explanation of assertion.
View full question & answer→MCQ 121 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Into a circular drum of radius $4.2\ m$ and height $3.5\ m,$ the number of full bags of wheat can be emptied, if the space required for wheat in each bag is $2.1\ cu.m,$ is $92$ bags nearly.
Reason: Volume of circular drum is $\frac{1}{3}\pi\text{r}^\text{h}$ where $r$ is radius and $h$ is height of drum.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- ✓
If assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: C. If assertion is true but reason is false.
Radius of circular drum, $r = 4.2\ m$
Height of circular drum, $h = 3.5\ m$
Volume of circular drum
$=\pi\text{r}^\text{h}$
$=\frac{22}{7}\times4.2\times4.2\times3.5\text{ cm}^3$
Space occupied by $1$ wheat bag $= 2.1\ m^3$
Number of wheat bags
$=\frac{\text{Volume of drum}}{\text{Space occupied by 1 bag}}$
$=\frac{\frac{22}{7}\times4.2\times4.2\times3.5}{2.1}$
$= 92.4 $
$= 92$ nearly
View full question & answer→Question 131 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In a circle of radius 6cm, the angle of a sector is 60°. Then the area of the sector is $\frac{132}{7}\text{cm}^2.$
Reason: Area of the circle with radius r is $\pi\text{r}^2.$
- Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
- Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
- Assertion (A) is true but reason (R) is false.
- Assertion (A) is false but reason (R) is true.
Answer
- Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
View full question & answer→Question 141 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Sphere has constant mean curvature.
Reason: Sphere has constant width and circumference.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
View full question & answer→Question 151 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The slant height of the frustum of a cone is 5cm and the difference between the radii of its two circular ends is 4cm than the height of the frustum is 3cm.
Reason: Slant height of frustum of cone is given by $\text{I}=\sqrt{(\text{R}-\text{r})}^2+\text{h}^2$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 161 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Solid figures are three dimensional figures.
Reason: Solid figures possess volume and surface area.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
View full question & answer→Question 171 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: 5 number of solid sphere each of diameter 6cm that could be moulded to form a solid metallic cylinder of height 45cm and diameter 4cm.
Reason: Number of solid sphere $=\frac{\text{volume of cylinder}}{\text{volume of sphere}}$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→MCQ 181 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A shot put is a metallic sphere of radius $4\ cm$. If the density of the metal is $10\ g$ per $\ cm^3$. then the mass of the shot put is $2\ kg.$
Reason: Volume of sphere of radius $r$ is $\frac{4}{3}\pi\text{r}^3$
- ✓
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct explanation of assertion.
Volume of metallic sphere $=\frac{4}{3}\pi(4)^3\text{ cm}^3$
Density of metal $=\frac{10\text{g}}{\text{ cm}^3}$
Mass of shot put $=$ Density $\times$ Volume
$=10\times\frac{4}{3}\pi(4)^3$
$= 2681.90 \text{ g}$
$= 2.68\ \text{kg}\neq2\ \text{kg}$
View full question & answer→Question 191 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The surface area of cuboid shaped box having length 80cm, breadth 40cm, height 20cm is 11200.
Reason: Surface are of box = 2(ll + bb + hh)
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Assertion is correct but reason is false.
View full question & answer→MCQ 201 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A closed cylindrical tank of radius $7\ m$ and height $3\ m$ is made from metal $440\ m^{2 }$ sheet of metal is required.
Reason: Surface area of cylinder $=2\pi\text{r}\text{(r+h)}$
- ✓
Both Assertion and reason are correct and reason is correct explanation for Assertion.
- B
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- C
Assertion is correct but reason is false.
- D
Both Assertions and reason are false.
AnswerCorrect option: A. Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 211 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Volumes of cone $=\frac{1}{3}\pi\text{r}^2\text{h}$
Reason: The radii of two cone are in the ratio 2 : 3 and their volumes in the ratio 1 : 3 then the ratio of their height is 3 : 2.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Assertion is correct but reason is false.
View full question & answer→MCQ 221 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The lateral surface area of a cube is $256\ m^2$ the volume of the cube is $512\ m^3$
Reason: Lateral surface area of cube $= 4 \times$ side$^2$
- A
Both Assertion and reason are correct and reason is correct explanation for Assertion.
- ✓
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- C
Assertion is correct but reason is false.
- D
Both Assertions and reason are false.
AnswerCorrect option: B. Both Assertion and reason are correct but reason is not correct explanation for Assertion.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
View full question & answer→MCQ 231 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Total surface area of cylinder having radius of the base $14\ cm$ and height $30\ cm$ is $3872\ cm^2$
Reason: If r be the radius and h be the height of the cylinder then the total surface area $=(2\pi\text{rh}+2\pi\text{r}^2)$
- ✓
Both Assertion and reason are correct and reason is correct explanation for Assertion.
- B
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- C
Assertion is correct but reason is false.
- D
Both Assertions and reason are false.
AnswerCorrect option: A. Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 241 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The volume of a solid is equal to the product of the base area and its height.
Reason: Volume = (Length × Breadth × Height).
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 251 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In a cylinder, if radius is halved and height is doubled, the volume will be halved.
Reason: In a cylinder, radius is doubled and height is halved, curved surface area will be same.
- Both assertion and reason are true and reason is the correct explanation of assertion.
- Both assertion and reason are true but reason is not the correct explanation of assertion.
- Assertion is true but reason is false.
- Assertion is false but reason is true.
Answer
- Both assertion and reason are true but reason is not the correct explanation of assertion.
View full question & answer→MCQ 261 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If a ball is in the shape of a sphere has a surface area of $221.76\ cm^{2 }$ then it’s diameter is $8.4\ cm.$
Reason: If the radius of the sphere be r then the surface area $\text{S}=4\pi\text{r}^2$
- ✓
Both Assertion and reason are correct and reason is correct explanation for Assertion.
- B
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- C
Assertion is correct but reason is false.
- D
Both Assertions and reason are false.
AnswerCorrect option: A. Both Assertion and reason are correct and reason is correct explanation for Assertion.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 271 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The radius of a sphere is 2r then it’s volume will be $\frac{32}{3}\pi\text{r}^3$
Reason: Volume of sphere $\frac{4}{3}\pi\text{r}^3$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 281 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If diameter of a sphere is decreased by 25%, then its curved surface area is decreased by 43.75%.
Reason: Curved surface area is increased when diameter decreases.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Assertion is correct but reason is false.
View full question & answer→Question 291 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The surface area of a sphere is 2464.Then its volume is 11498 $\Big(\frac{2}{3}\Big)\text{cm}^3$
Reason: The volume of a sphere of radius $\frac{4}{3}\pi\text{r}^3$ is, and total surface area is $4\pi\text{r}^2$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
View full question & answer→Question 301 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The external dimensions of a wooden box are 18cm, 10cm and 6cm respectively and thickness of the wood is 15mm, then the internal volume is 765cm 3.
Reason: If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x, then its internal volume is (l - 2x) (b - 2x) (h - 2x)
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 311 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: An edge of a cube measures r cm. If the largest possible right circular cone is cut out of this cube, then the volume of the cone is $\frac{1}{6}\pi\text{r}^3$
Reason: Volume of the cone is given by $\frac{1}{3}\pi\text{r}^2\text{h}$ where r is the radius of the base and h is the height of the cone.
- Both assertion and reason are true and reason is the correct explanation of assertion.
- Both assertion and reason are true but reason is not the correct explanation of assertion.
- Assertion is true but reason is false.
- Assertion is false but reason is true.
Answer
- Assertion is false but reason is true.
View full question & answer→MCQ 321 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Curved surface of cylinder $=2\pi\text{rh}$
Reason: If the curved surface ofright circular cylinder $1760\ cm^2$ and it’s radius is $21\ cm$ then it’s height is $\frac{80}{3}\text{cm}$
- A
Both Assertion and reason are correct and reason is correct explanation for Assertion.
- B
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- ✓
Assertion is correct but reason is false.
- D
Both Assertions and reason are false.
AnswerCorrect option: C. Assertion is correct but reason is false.
Assertion is correct but reason is false.
View full question & answer→Question 331 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The volume of a solid is defined as the space occupied by the solid shape in 3 - dimesional region.
Reason: The amount of water the glass can hold is called volume of glass.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 341 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If diameter of a sphere is decreased by 25%, then its curved surface area is decreased by 43.75%.
Reason: Curved surface area is increased when diameter decreases.
- Both assertion and reason are true and reason is the correct explanation of assertion.
- Both assertion and reason are true but reason is not the correct explanation of assertion.
- Assertion is true but reason is false.
- Assertion is false but reason is true.
Answer
- Assertion is true but reason is false.
Solution:
Decreased diameter $=\Big(2\text{r}-\frac{25}{100}\times2\text{r}\Big)$
$=\text{2r}-\frac{\text{r}}{2}=\frac{3\text{r}}{2}$
New diameter $=\frac{\text{3r}}{2}$
and Radius, $\text{r}=\frac{3\text{r}}{4}$
Curved surface area of sphere
$=4\pi\text{r}^2$
New curved surface area $=4\pi\Big(\frac{3\text{r}}{4}\Big)^2=4\pi=\Big(\frac{9\text{r}^2}{16}\Big)$
Difference $=4\pi\text{r}^2\Big(\frac{9}{16}-1\Big)$
$=4\pi\text{r}^2\Big(\frac{7}{16}\Big)$
$=-4\pi\text{r}^2\Big(\frac{7}{16}\times100\Big)\frac{1}{100}$
$=4\pi\text{r}^2(-43.75)\%$
Curved surface area is decreased by 43.75%. As if diameter is decreased, curved surface area is decreased. View full question & answer→Question 351 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The perpendicular distance between two bases is the height of cylinder.
Reason: The line segment joining the centre of two bases is the axis of cylinder.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
View full question & answer→Question 361 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Volume of cuboid is defined as the amount of space occupied by the walls of cuboid in three dimensional space.
Reason: Volume of cuboid is the product of length, width, height.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
View full question & answer→Question 371 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The number of cins 1.75cm in diameter and 2m.m thick is formed from a melted cuboid 10cm × 5.5cm × 3.5cm is 400.
Reason: Volume of cylinder $=\pi\text{r}^2\text{h}$ cubic units and area of cuboid =( l× b × h) cubic units.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→MCQ 381 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Total surface area of hemisphere is $3\pi\text{r}^2$
Reason: The outer surface of hemisphere of radius $7\ cm$ is to be painted the total cost of painting atv $rs. 5$ per$\ cm^{2 }$ is $rs. 2300.$
- A
Both Assertion and reason are correct and reason is correct explanation for Assertion.
- B
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- ✓
Assertion is correct but reason is false.
- D
Both Assertions and reason are false.
AnswerCorrect option: C. Assertion is correct but reason is false.
Assertion is correct but reason is false.
View full question & answer→Question 391 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The number of coins 1.75cm in diameter 2m.m thick from a melted cuboid ( 10cm × 5.5cm × 3.5cm ) is 500.
Reason: Volume of cylinder base and radius r and height h is given by V $=\pi\text{r}^2\text{h}$ cubic units and volume of cuboid = ( l + b + h ).
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertions and reason are false.
View full question & answer→Question 401 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If r be the radius and h be the slant height of cone then the slant height $=\sqrt{(\text{h}^2+\text{r}^2)}$
Reason: If the height of cone is 24cm and diameter of base is 14cm then the slant height of cone is 15cm.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Assertion is correct but reason is false.
View full question & answer→Question 411 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Volume of sphere = $\frac{4}{3}\pi\text{r}^3$ and surface area of sphere = $4\pi\text{r}^2$
Reason: If the volume of two sphere are in the ratio 27 : 8 then the surface area are in the ratio 3 : 2.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Assertion is correct but reason is false.
View full question & answer→Question 421 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $\sqrt{1400}$ is the maximum length of rod that can be kept in cuboidal box of sides 30cm, 20cm and 10cm.
Reason: Diagonal is the longest length in the cuboid.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 431 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The curved surface area of right circular cylinder is 4.4 sq.cm the radius of base is O.7cm the height of cylinder will be 5cm.
Reason: Curved surface area of cylinder $2(\pi\text{r}+\text{h})$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertions and reason are false.
View full question & answer→Question 441 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The lateral surface area of a right cone is 62.82 if the radius is 4cm and the slant height is 5cm.
Reason: Lateral surface area of cone $=\pi\text{rl}$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 451 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the radius of cylinder is 4cm and height 10cm then the total surface area of cylinder is 352sq.cm.
Reason: Total surface area of cylinder $=2\pi\text{r}\text{(r+h)}$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→Question 461 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A cone is a solid figure.
Reason: A cone is generated when rectangular sheet is rotated about its axis.
- Both assertion and reason are true and reason is the correct explanation of assertion.
- Both assertion and reason are true but reason is not the correct explanation of assertion.
- Assertion is true but reason is false.
- Assertion is false but reason is true.
Answer
- Assertion is true but reason is false.
View full question & answer→MCQ 471 Mark
Directions: In the following questions, the Assertions $(A) $ and Reason$(s) (R) $ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Total surface area of cuboid is $2 (lb + bh + lh).$
Reason: Two identical solid cube of side $5\ cm$ are joined end to end then the total surface area of the resulting cuboid is $300\ cm^2$
- A
Both Assertion and reason are correct and reason is correct explanation for Assertion.
- B
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- ✓
Assertion is correct but reason is false.
- D
Both Assertions and reason are false.
AnswerCorrect option: C. Assertion is correct but reason is false.
Assertion is correct but reason is false.
View full question & answer→Question 481 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The radii of two cones are in the ratio 2 : 3 and their height are in ratio 7 : 3 the ratio of their volumes is 28 : 27
Reason: Volume of cone $=\frac{1}{2}\pi\text{r}^2\text{h}$
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Assertion is correct but reason is false.
View full question & answer→Question 491 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A sphere is a symmetrical object.
Reason: A sphere had an only a curved surface no flat surface no edge and no vertices.
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
- Both Assertion and reason are correct but reason is not correct explanation for Assertion.
- Assertion is correct but reason is false.
- Both Assertions and reason are false.
Answer
- Both Assertion and reason are correct and reason is correct explanation for Assertion.
View full question & answer→MCQ 501 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The external dimensions of a wooden box are $18\ cm, 10\ cm$ and $6\ cm$ respectively and thickness of the wood is $15\ mm$, then the internal volume is $765\ cm^3$
Reason: If external dimensions of a rectangular box be $l, b$ and $h$ and the thickness of its sides be $x,$ then its internal volume is $(l - 2x)(b - 2x)(h - 2x).$
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- ✓
Assertion is false but reason is true.
AnswerCorrect option: D. Assertion is false but reason is true.
Length of box $= 18\ cm$
Width of box $= 10\ cm$
Height of bo $x = 6\ cm$
thickness of box $=5\ \text{mm}=\frac{1}{2}\text{ cm}$
Internal length, width, height of the box is.
$\Big(18-\frac{2\times1}{2}\Big),\Big(10-\frac{2\times1}{2}\Big),\Big(6-\frac{2\times1}{2}\Big),$
Internal volume of box $=17\times9\times5$
$=765\text{ cm}^3$
View full question & answer→