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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 251. |
The length of three medians of a triangle are 9 cm, 12 cm and 15 cm. The area (in sq. cm) of thetriangle is1). 242). 723). 484). 144 |
| Answer» OPTION 2 : 72 is CORRECT | |
| 252. |
The area of a circle is increased by 22 cm its radius is increased by 1 cm. The original radius of the circle is1). 6 cm2). 3.2 cm3). 3 cm4). 3.5 cm |
| Answer» | |
| 253. |
If each edge of a square be doubled. then the increase percentage in its area is1). 200%2). 250%3). 280%4). 300% |
| Answer» RIGHT ANSWER for this QUESTION is OPTION 4 | |
| 254. |
A tank 40 m long, 30 m broad and 12 m deep is dug in a field 1000 m long and 30 m wide. By how much will the level of the field rise if the earth dug out of the tank is evenly spread over the field1). 2 metre2). 1.2 metre3). 0.5 metre4). 5 metre |
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Answer» This QUESTION was ASKED some where in PREVIOUS year papers of SSC, and correct answer was option 3 |
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| 255. |
A copper sphere of diameter 18 cm is drawn into a wire of diameter 4 mm.The length of the wire, in metre, is :1). 2.432). 2433). 24304). 24.3 |
| Answer» OPTION 2 : 243 is CORRECT | |
| 256. |
A circular swimming pool is surrounded by a coocrete wall 4m wide. If the area of the concrete wall surrounding the pool is $\frac{11}{25}$ that of the pool, then the radius (in m) of the pool is :1). 82). 163). 304). 20 |
| Answer» OPTION 4 is the ANSWER | |
| 257. |
A cylindrical can whose base is horizontal and is of internal radius 3.5cm contains sufficient water so that when a solid sphere is placed inside, water Just covers the sphere. The sphere fits In the can exactly. The depth of water in the can before the sphere was put, is1). $\frac{35}{3}$ cm2). $\frac{17}{3}$ cm3). $\frac{7}{3}$ cm4). $\frac{14}{3}$ cm |
| Answer» OPTION 3 is the CORRECT answer as PER the answer key | |
| 258. |
The external fencing of a circular path around a circular plot of land is 33 m more than its interior fencing. The width of the path around the plot is1). 5.52 m2). 5.25 m3). 2.55 m4). 2.25 m |
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Answer» In-radius of CIRCULAR plot = R metre (let) ∴ Ex radius = (r + x) metre According to the question 2π (r + x) – 2πr = 33 ⇒ 2πr + 2πx – 2πr = 33 ⇒ 2πx = 33
= 2 × 22 / 7 × x = 33
⇒ x = 33 × 7 / 2 × 22 = 21/7 metre = 5.25 metre |
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| 259. |
Length of the perpendiculars from a point in the interior of an equilateral triangle on its sides are 3 cm, 4 cm and 5cm. Area of the triangle is1). $48\sqrt{3}$ sq.m.2). $54\sqrt{3}$ sq.m.3). $72\sqrt{3}$ sq.m.4). $80\sqrt{3}$ sq.m. |
| Answer» OPTION 1 : - $48\sqrt{3}$ sq.m. | |
| 260. |
A horse is tied to a post by a rope . If the horse moves along a circular path always keeping the rope stretched and describes 88 metres when it has traced out $72^{0}$ at the centre, the length of the rope is(Take $\pi$ = $\frac{22}{7}$)1). 70 m2). 75 m3). 80 m4). 65 m |
| Answer» OPTION 1 : - 70 m | |
| 261. |
A solid metallic sphere of radius 8 cmis melted to form 64 equal small solid spheres. The ratio of the surface area of this sphere to that of a small sphere is1). 4:12). 1:163). 16:14). 1:4 |
| Answer» | |
| 262. |
The lateral surfacearea of a cylinder is 1056 sq.cm. and its height is 16 cm. Find its volume.1). 4545 cu.cm.2). 4455 cu.cm.3). 5445 cu.cm.4). 5544 cu.cm. |
| Answer» | |
| 263. |
The perimeter ( in metres) of a semicircle is numerically equal to its area (in square metres). The length of its diameter is (Take $\pi$ = $\frac{22}{7}$)1). $3\frac{6}{11}$ metres2). $5\frac{6}{11}$ meters3). $6\frac{6}{11}$ meters4). $6\frac{2}{11}$ meters |
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Answer» Given: The perimeter (in metres) of a SEMICIRCLE is NUMERICALLY equal to its area (in square meters). Formula Used: perimeter of a semicircle $\large = \pir + 2r Area of a semicircle = $ \large \FRAC{1}{2} π r^2$ Calculation: Let radius of semi CIRCLE = metres According to ques, Perimeter = Area ⇒ πr + 2r = $ \large \frac{1}{2} π r^2$ ⇒ π + 2 = $ \large \frac{1}{2} π r$ ⇒ r = $ \large \frac{2\pi + 4}{\pi}$ ⇒ r = 2 + 4 × $ \large \frac{7}{22}$ ⇒ r = 2 + $ \large \frac{14}{11} = \frac{36}{11}$ Diameter = 2 × $ \large \frac{36}{11} = 6\frac{6}{11} $ meters ∴ The diameter is $ \large 6\frac{6}{11} $ m |
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| 264. |
If the radius of a cylinder is decreased by 50% and the height is increased by 50% to form a new cylinder, the volume will be decreased by1). 0 %2). 25%3). 62.5%4). 75% |
| Answer» | |
| 265. |
The percentage increase in the area of a rectangle, if each of Its sides Is increased by 20% Is equal to1). 32%2). 34%3). 42%4). 44% |
| Answer» OPTION 4 is the RIGHT ANSWER | |
| 266. |
If the ratio of the altitudes of two triangles be 3:4 and the ratio of their corresponding areas be 4: 3, then the ratio of their corresponding lengths of bases is1). 1:12). 16:93). 1:24). 2:1 |
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Answer» This QUESTION was asked some where in previous YEAR papers of ssc, and CORRECT answer was option 2 |
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| 267. |
The area of a sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is :1). 8.5 sq.cm.2). 8.75 sq.cm.3). 7.75 sq.cm.4). 7.50 sq.cm. |
| Answer» HELLO, 8.75 sq.cm. is CORRECT | |
| 268. |
The radius of the incircle of a triangle is 2 cm. If the area of the triangle is 6 sq.cm., then its perimeter is1). 2 cm2). 3 cm3). 6 cm4). 9 cm |
| Answer» CORRECT ANSWER is: OPTION 3 | |
| 269. |
A square of side 3 cm is cut off from each comer of a rectangular sheet of length 24cm and breadth 18 cm and the remaining sheet is folded to form an open rectangular box.The surface area of the box is1). 4682). 3963). 6124). 423 |
| Answer» OPTION 2 is the RIGHT ANSWER | |
| 270. |
If each edge of a cube is increased by 40%, the percentage increase in its surface area is1). 40%2). 60%3). 80%4). 96% |
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Answer» 0.96 |
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| 271. |
A solid metallic spherical ball of diameter 6 cm is melted and recasted into a cone with diameter of the base as 12 cm. The height of the cone is1). 6 cm2). 2 cm3). 4 cm4). 3 cm |
| Answer» OPTION 4 : - 3 CM | |
| 272. |
The base of a prism is a right angled triangle with two sides 5cm and 12 cm. The height of the prism is 10 cm. The total surface area of the prism is1). 360 sq cm2). 300 sq cm3). 330 sq cm4). 325 sq cm |
| Answer» 300 + 2×30 = 360 | |
| 273. |
A cylinder has 'r' as the radius of the base and 'h' as the height. The radius of base of another cylinder, having double the volume but the same height as that of the first cylinder must be equal to1). $\frac{r}{\sqrt{2}}$2). 2r3). $r\sqrt{2}$4). $\sqrt{2r}$ |
| Answer» OPTION 3 is the RIGHT ONE | |
| 274. |
The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 cm and the breadth is less by 3 cm. Find the perimeter of the rectangle.1). 17 cm2). 26 cm3). 30 cm4). 34 cm |
| Answer» OPTION 4 is the CORRECT ANSWER as per the answer KEY | |
| 275. |
If the length and the perimeter of a rectangle are in the ratio 5:16,then its length and breadth will be in the ratio1). 5:112). 5:83). 5:44). 5:3 |
| Answer» HELLO, 5:3 is CORRECT | |
| 276. |
The sides of a triangle are in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$. If the perimeter of the triangle is 52 cm,the length of the smallest side is :1). 24 cm2). 10 cm3). 12 cm4). 9 cm |
| Answer» 10 CM is the ANSWER | |
| 277. |
In an equilateral triangle ABC of side 10cm, the side BC Is trisected at D. Then the length (in cm) of AD is1). $3\sqrt{7}$2). $7\sqrt{3}$3). $\frac{10\sqrt{7}}{3}$4). $\frac{7\sqrt{10}}{3}$ |
| Answer» OPTION 3 : - $7\sqrt{3}$ | |
| 278. |
The radius of a cylinder is 10 cm and height is 4 cm. The number of centimetres that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is1). 5 cm2). 4 cm3). 25 cm4). 16 cm |
| Answer» | |
| 279. |
The area of an isosceles trapezium is 176 sq.cm. and the height is $\frac{2}{11}$ th of the sum of its parallel sides.If the ratio of the length of the parallel sides is 4:7,then the length of a diagonal (in cm)is1). 282). $\sqrt{137}$3). $2\sqrt{137}$4). 24 |
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Answer» right answer is $\SQRT{137}$ AREA =$ \LARGE \frac{1}{2} $(sum of parallel sides)$\times$ DISTANCE between them $ \Large \frac{1}{2}(7x+4x) \times 2x=176 $ $ \Large 11x^{2}=176\Rightarrow x^{2}16 $ $ \Large \Rightarrow x=4 $ $ \Large AB=7 \times 4=28cm $ $ \Large CD=4 \times 4=16cm $ $ \Large CM=2 \times 4=8cm $ $ \Large AM=AN+NM $ $ \Large \Rightarrow AN+16 $ $ \Large \Rightarrow 6+16=22 $ $ \Large (AN=BM=\frac{12}{2}=6) $ $ \Large AC^{2}=CM^{2}+AM^{2} $ $ \Large AC^{2}=8^{2}+22^{2} $ $ \Large AC=\sqrt{64+484}\Rightarrow \sqrt{548}\Rightarrow 2\sqrt{137} $ |
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| 280. |
If one diagonal of a rhombus of side 13 cm is 10 cm. then the other diagonal is1). 24 cm2). 20 cm3). 16 cm4). 28 cm |
| Answer» | |
| 281. |
Two circular cylinders of equal volume have their heights in the ratio 1 : 2. Ratio of their radii is (Take $\pi$ = $\frac{22}{7}$)1). 1:42). $1:\sqrt{2}$3). $\sqrt{2}:1$4). 1:2 |
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Answer» This question was asked some where in PREVIOUS YEAR PAPERS of ssc, and correct answer was option 3 |
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| 282. |
The perimeters of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively. Which of the following statement is true 1). C = S = T2). C > S > T3). C < S < T4). S < C < T |
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Answer» C > S > T : option 2 is the correct answer |
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| 283. |
One acute angle of a right angled triangle is double the other. If the length of its hypotenuse to 10cm, then its area to1). $\frac{25}{2}\sqrt{3}$ sq.cm2). 25 sq.cm3). $25\sqrt{3}$ sq.cm4). $\frac{75}{2}$ sq.cm |
| Answer» | |
| 284. |
If the radii of the circular ends of a truncated conical bucket which is 45cm high be 28cm and 7 cm. then the capacity of the bucket in cubic centimetre is (use $\pi$ = $\frac{22}{7}$)1). 485102). 458103). 481504). 48051 |
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Answer» 48510 |
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| 285. |
If the length of a rectangle is increased by 20% and its breadth is decreased by 20%, then its area1). increases by 4%2). decreases by 4%3). decreases by 1%4). remains unchanged |
| Answer» CORRECT ANSWER is: OPTION 2 | |
| 286. |
Let A be the area of a square whose each side is 10 cm. Let B be the area of a square whose diagonals are 14 cm each. Then (A - B) is equal to1). 02). 13). 24). 4 |
| Answer» CORRECT ANSWER is: 1 | |
| 287. |
If D and E are the mid- points of the side AB and AC respectively of the $\triangle ABC$ in the figure given here, the shaded region of the triangle is what per cent of the whole triangular region1). 50%2). 25%3). 75%4). 60% |
| Answer» 25% is the ANSWER | |
| 288. |
The volume of a sphere and a right circular cylinder having the same radius are equal .The ratio of the diameter of the sphere to the height of the cylinder is1). 3:22). 2:33). 1:24). 2:1 |
| Answer» OPTION 1 is the ANSWER | |
| 289. |
The length of a rectangle is increased by 10% and breadth decreased by 10%. The area of the new rectangle is1). neither increased nor decreased2). increased by 1%3). decreased by 2%4). decreased by 1% |
| Answer» | |
| 290. |
The diagonal of a square A is (a+b). The diagonal of a square whose area is twice the area of square A, is1). 2(a+b)cm2). $2(a+b)^{2}$ cm3). $\sqrt{2}(a+b)$ cm4). $\sqrt{2}(a-b)$ cm |
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Answer» This question was asked some where in previous YEAR PAPERS of ssc, and correct answer was $2(a+b)^{2}$ CM |
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| 291. |
The total surface area of a metallic hemisphere is 1848 sq.cm.. The hemisphere is melted to form a solid right circular cone. If the radius of the base of the cone is the same as the radius of the hemisphere, its height is1). 42 cm2). 26 cm3). 28 cm4). 30 cm |
| Answer» | |
| 292. |
Some solid metallic right circular cones, each with radius of the base 3 cm and height 4 cm, are melted to form a solid sphere of radius 6 cm. The number of right circular cones is :1). 122). 243). 484). 6 |
| Answer» | |
| 293. |
The area of the curved surface and the area of the base of a right circular cylinder are a square cm and b square cm respectively. The height of the cylinder is1). $\frac{2a}{\sqrt{\pi b}}$ cm2). $\frac{a\sqrt{b}}{2\sqrt{\pi}}$ cm3). $\frac{a}{2\sqrt{\pi b}}$ cm4). $\frac{a\sqrt{\pi}}{2\sqrt{b}}$ cm |
| Answer» | |
| 294. |
The radius of cross-section of a solid cylindrical rod of iron is 50cm. The cylinder is melted down and formed into 6 solid spherical balls of the same radius as that of the cylinder. The length of the rod (in metres) is1). 0.82). 23). 34). 4 |
| Answer» OPTION 4 is the RIGHT ANSWER | |
| 295. |
If the four equal circles of radius 3 cm touch each other externally, then the area of the region bounded by the four circles is1). $4(9-\pi)$ sq. cm.2). $9(4-\pi)$ sq. cm.3). $5(6-\pi)$ sq. cm.4). $6(5-\pi)$ sq. cm. |
| Answer» CORRECT ANSWER is: OPTION 2 | |
| 296. |
Two equal maximum sized circular plates are cut off from a clrcular paper sheet of circumfercnee 352 cm. Then the circumference of each circular plate is1). 176 cm2). 150 cm3). 165 cm4). 180 cm |
| Answer» | |
| 297. |
The time required for a boy to travel along the external and internal boundaries of a circular path are in the ratio 20:19. If the width of the path be 5 metres, the internal diameter is :1). 195 metres2). 192 metres3). 180 metres4). 190 metres |
| Answer» RIGHT ANSWER for this QUESTION is OPTION 4 | |
| 298. |
A bicycle wheel has a diameter (including the tyre) of 56 cm. The number of times the wheel will rotate to cover a distance of 2.2 km is (Assume $\pi$ = $\frac{22}{7}$)1). 6252). 12503). 18754). 2500 |
| Answer» 1250 | |
| 299. |
If the side of a square is $\frac{1}{2}(x+1)$ units and its diagonal is $\frac{3-x}{\sqrt{2}}$ units,then the length of the side of the square would be1). $\frac{4}{3}$ units2). $\frac{1}{2}$ unit3). 1 unit4). 2 units |
| Answer» | |
| 300. |
The ratio of length of each equal side and the third side of an isosceles triangle is 3:4. If the area of the triangle is $18\sqrt{5}$ square units, the third side is1). 16 units2). $5\sqrt{10}$ units3). $8\sqrt{2}$ units4). 12 units |
| Answer» | |