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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A conical vessel whose internal radius is 12 cm and height 50 cm is full of liquid.The contents are emptied into a cylindrical vessel with radius (internal) 10cm. The height to which the liquid rises in the cylindrical vessel is :1). 25 cm2). 20 cm3). 24 cm4). 22 cm |
| Answer» 20 CM | |
| 2. |
Two solid right cones of equal height and of radii $r_{1}$ and $r_{1}$ are melted and made to form a solid sphere of radius R. Then the height of the cone is1). $\frac{4R^{2}}{r_{1}^{2}+r_{2}^{2}}$2). $\frac{4R}{r_{1}+r_{2}}$3). $\frac{4R^{3}}{r_{1}^{2}+r_{2}^{2}}$4). $\frac{R^{2}}{r_{1}^{2}+r_{2}^{2}}$ |
| Answer» | |
| 3. |
The ratio of the volume of a cube and of a solid sphere is 363: 49. The ratio of an edge of the cube and the radius of the sphere is (taking Take $\pi$ = $\frac{22}{7}$)1). 7:112). 22:73). 11:74). 7:22 |
| Answer» RIGHT ANSWER for this QUESTION is 22:7 | |
| 4. |
If the radius of the base of a cone be 7 cm and its curved surface area be 550 sq. cm, then the volume of the cone is1). 1232 cu. cm2). 1024 cu.cm3). 1132 cu.cm4). 1324 cu.cm |
| Answer» OPTION 1 is the CORRECT ANSWER as per the answer key | |
| 5. |
The perimeter of a rectangular plot is 48 m and area is 108 sq.m. . The dimensions of the plot are1). 36 m and 3 m2). 12 m and 9 m3). 27 m and 4 m4). 18 m and 6 m |
| Answer» 18 m and 6 m is the BEST SUITED | |
| 6. |
If the radius of a sphere be doubled, the area of its surface will become1). Double2). Three times3). Four times4). None of the mentioned |
| Answer» ANSWER for this QUESTION is THREE TIMES | |
| 7. |
From a point in the interior of an equilateral triangle , the perpendicular distance of the sides are $\sqrt{3}$cm, $2\sqrt{3}$cm and $5\sqrt{3}$ cm. The perimeter ( in cm) of the triangle is1). 642). 323). 484). 24 |
| Answer» | |
| 8. |
If the volume of two cubes are in the ratio 27:64, then the ratio of their tota surface area is :1). 27:642). 3:43). 9:164). 3:8 |
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Answer» it from PREVIOUS YEAR SSC papers, OPTION 3 is the right answer |
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| 9. |
Apiece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is1). 152 cm2). 132 cm3). 168 cm4). 225 cm |
| Answer» | |
| 10. |
The diameter of the iron ball used for the shot-put game is 14cm. It is melted and then a solid cylinder of height $2\frac{1}{3}$ cm is made. What will be the diameter of the base of the cylinder1). 14 cm2). 28 cm3). $\frac{14}{3}$ cm4). $\frac{28}{3}$ cm |
| Answer» CORRECT ANSWER is: OPTION 2 | |
| 11. |
The base of a right pyramid is a square of side 40 cm long. If the volume of the pyramid is 8000 cu.cm., then its height is :1). 5 cm2). 10 cm3). 15 cm4). 20 cm |
| Answer» CORRECT ANSWER is: OPTION 3 | |
| 12. |
2 cm of rain has fallen on a square km land. Assumingthat 50% of the raindrops could have been collected and contained in a pool having a 100 m x 10 m base, by what level would the water level in the pool have increased1). 1 km2). 10 m3). 10 cm4). 1 m |
| Answer» RIGHT ANSWER for this QUESTION is 10 m | |
| 13. |
The area of circle whose radius is 6 cm is trisected by two con- centric circles.The radius of the smallest circle is1). $2\sqrt{3}$ cm.2). $2\sqrt{6}$ cm.3). 2 cm4). 3 cm |
| Answer» | |
| 14. |
Each of the radius of the base and the height of a right circular cylinder is increased by 10%. The volume of the cylinder is increased by1). 3.31%2). 14.5%3). 33.1%4). 19.5% |
| Answer» | |
| 15. |
A right circular cylinder Just encloses a sphere of radius r. The ratio of the surface area of the sphere and the curved surface area of the cylinder is1). 2:12). 1:23). 1:34). 1:1 |
| Answer» | |
| 16. |
if each side of a rectangle is increased by 50%, its area will be increased by1). 50%2). 125%3). 100%4). 250% |
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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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| 17. |
The curved surface area of a cylindrical pillar is 264 sq.m. and its volume is 924 cu.m.. (Taking $\pi$ = $\frac{22}{7}$).Find the ratio of its diameter to its height.1). 7:62). 6:73). 3:74). 7:3 |
| Answer» | |
| 18. |
A solid cylinder has total surface area of 462 sq.cm. Its curved surface area is $\frac{1}{3}$ rd of the total surface area.Then the radius of the cylinder is1). 7 cm2). 3.5 cm3). 9 cm4). 11 cm |
| Answer» OPTION 1 : 7 CM is CORRECT | |
| 19. |
The height of the cone is 30 cm.A small cone is cut off at the top by a plane parallel to its base. If its volume is $\frac{1}{27}$ of the volume of the cone,at what height,above the base, is the section made1). 6 cm2). 8 cm3). 10 cm4). 20 cm |
| Answer» | |
| 20. |
A prism has as the base a righangled triangle whose sides adjacent to the right angles are 10 cm and 12 cm long. The heigh of the prism is 20 cm. The density of the material of the prism is 6 gm/cubic cm. The weight of the prism is1). 6.4 kg2). 7.2 kg3). 3.4 kg4). 4.8 kg |
| Answer» | |
| 21. |
If the circumference of a circle increases from$4\pi$ to $8\pi$, what change occurs in its area1). It doubles2). It triples3). IT quadruples4). It is halved |
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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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| 22. |
A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water (in litres) will fall into the sea in a minutes1). 4,00,0002). 40,00,0003). 40,0004). 4,000 |
| Answer» OPTION 2 : SEEMS CORRECT | |
| 23. |
If the radius of a right circular cylinder is decreased by 50% and its height is incresed by 60%,its volume will be decreased by1). 10%2). 60%3). 40%4). 20% |
| Answer» HELLO, 60% is CORRECT | |
| 24. |
A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone, then :1). H = 2R2). H = $\frac{2}{3}R$3). H = $\sqrt{3R}$4). B = 3R |
| Answer» H = 2R : - is correct HENCE OPTION 1 | |
| 25. |
A sphere is placed inside a right circular cylinder so as to touch the top, base and the lateral surface of the cylinder. If the radius of the sphere is R, the volume of the cylinder is1). $2\pi R^{3}$2). $4\pi R^{3}$3). $8\pi R^{3}$4). $\frac{8}{3}\pi R^{3}$ |
| Answer» | |
| 26. |
A cuboldal block of 6 cm x 9 cm x 12cm is cut up into exact number of equal cubes.The least possible number of cubes will be1). 62). 93). 244). 30 |
| Answer» OPTION 3 : SEEMS CORRECT | |
| 27. |
The ratio of the area of an equilateral triangle and that of its circumcircle is1). $2\sqrt{3}:2\pi$2). $4:\pi$3). $3\sqrt{3}:4\pi$4). $7\sqrt{2}:2\pi$ |
| Answer» | |
| 28. |
The diameter of two cylinders, whose volumes are equal, are in the ratio 3:2. Their heights will be in the ratio .1). 4:92). 5:63). 5:84). 8:9 |
| Answer» | |
| 29. |
Surface areas of three adjacent faces of a cuboid are p, Q, r. Its volume is1). $\sqrt{pq^{2}+qr^{2}+rp^{2}}$2). $(\sqrt{pq}+\sqrt{qr}+\sqrt{rp})(p^{2}+q^{2}+r^{2})$3). $\sqrt{(p^{2}+q^{2}+r^{2})(p+q+r)}$4). $\sqrt{pqr}$ |
| Answer» | |
| 30. |
The radius of the base of a Conical tent is 12 m. The tent is 9 m high. Find the cost of canvas required to make the tent, if one square metre of canvas costs Rs. 120 (Take $\pi$ = 3.14)1). Rs.67,8302). Rs.67,8003). Rs.67,8204). Rs.67,824 |
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Answer» This question was ASKED some where in previous YEAR papers of ssc, and CORRECT ANSWER was OPTION 4 |
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| 31. |
Two circles touch each other externally. The sum of their areas is $130\pi$ sq cm and the distance between their centres is 14 cm. The radius of the smaller circle is1). 2 cm2). 4 cm3). 5 cm4). 3 cm |
| Answer» 3 CM is the correct answer as PER the ssc answer KEY | |
| 32. |
The measures (in cm) of sides of a right angled triangle are given by consecutive integers. Its area ( in sq.cm.) is1). 92). 83). 54). 6 |
| Answer» 6 : SEEMS CORRECT | |
| 33. |
Two circles with centres A and B and radius 2 units touch each other externally at 'C'. A third circle with centre 'C' and radius '2’ units meets other two at D and E. Then the area of the quadrilateral ABDE is1). $2\sqrt{2}$ sq.units2). $3\sqrt{3}$ sq.units3). $3\sqrt{2}$ sq.units4). $2\sqrt{3}$ sq.units |
| Answer» CORRECT ANSWER is: $3\sqrt{3}$ sq.units | |
| 34. |
A right prism stands on a base 6 on equilateral triangle and its volume is $81\sqrt{3}$ cu.cm.. The height (in cm) of the prism Is1). 92). 103). 124). 15 |
| Answer» CORRECT ANSWER is: OPTION 1 | |
| 35. |
The length and breadth of a rectangle are increased by 12% and 15% respectively. Its area will be increased by :1). $27\frac{1}{5}$%2). $28\frac{4}{5}$%3). 27%4). 28% |
| Answer» OPTION 2 : SEEMS CORRECT | |
| 36. |
a and b are two sides adjacent to the right angle of a right-angled triangle and p is the perpendicular drawn to the hypotenuse from the opposite vertex. Then $p^{2}$ is equal to1). $a^{2}+b^{2}$2). $\frac{1}{a^{2}}+\frac{1}{b^{2}}$3). $\frac{a^{2}b^{2}}{a^{2}+b^{2}}$4). $a^{2}-b^{2}$ |
| Answer» RIGHT ANSWER for this question is $\frac{1}{a^{2}}+\frac{1}{b^{2}}$ | |
| 37. |
If the sum of the length, breadth and height of a rectangular parallelopiped is 24 cm and the length of its diagonal is 15 cm. then its total surface area is1). 256 sq.cm.2). 256 sq.cm.3). 315 sq.cm.4). 351 sq.cm. |
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Answer» $ \Large \SQRT{l^{2}+b^{2}+H^{2}}=15 $ |
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| 38. |
The sides of a triangle are in the ratio 3:4:5. The measure of the largest angle of the triangle is1). $60^{0}$2). $90^{0}$3). $120^{0}$4). $150^{0}$ |
| Answer» | |
| 39. |
If the area of a circle is A, radius of the circle is r and circumference of it is C, then1). $\frac{A}{r}= c$2). rC = 2A3). $\frac{C}{A}=\frac{r}{2}$4). $AC =\frac{r^{2}{4}$ |
| Answer» RC = 2A | |
| 40. |
The volume of a right circular cylinder whose height is 40cm, and circumference of its base is 66 cm,is1). 55440 cu.cm.2). 3465 cu.cm.3). 7720 cu.cm.4). 13860 cu.cm. |
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Answer» it from previous year ssc papers, OPTION 4 is the right ANSWER |
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| 41. |
The height of a cylinder and that of a cone are in the ratio 2:3and the radii of their bases in the ratio3: 4.The ratio of their volume will be1). 1:92). 2:93). 9:84). 3:8 |
| Answer» OPTION 3 is the correct ANSWER as per the answer KEY | |
| 42. |
If the area of a rectangle be $(x^{2}+7x+10)$ sq. cm, then one of the possible perimeter of it is1). (4x+14)cm2). (2x+14)cm3). (x+14)cm4). (2x+7)cm |
| Answer» OPTION 1 is the RIGHT ANSWER | |
| 43. |
The diameter of two circles are the side of a square and the diagonal of the square.The ratio of the area of the smaller circle and the larger circle is1). 1:22). 1:43). $\sqrt{2}:\sqrt{3}$4). $1:\sqrt{2}$ |
| Answer» | |
| 44. |
The area of the ring between two concentric circles, whose circumference are 88 cm and 132 cm, is :1). 780 sq.cm.2). 770 sq.cm.3). 715 sq.cm.4). 660 sq.cm. |
| Answer» HELLO, 770 sq.cm. is CORRECT | |
| 45. |
The slant height of a conical mountain is 2.5km and the area of its base is 1.54 ksq.m.. Taking $\pi$ = $\frac{22}{7}$ ,the height of the mountain is :1). 2.2 km2). 2.4 km3). 3 km4). 3.11 km |
| Answer» RIGHT ANSWER for this QUESTION is OPTION 2 | |
| 46. |
The diagonal of a quadrilateral shaped field is 24m and the perpendlculars dropped on it from the remaining opposite vertices are 8m and 13m. The area of the field is1). 252 sq.m.2). 156 sq.m.3). 96 sq.m.4). 1152 sq.m. |
| Answer» | |
| 47. |
The height of the right pyramid whose area of the base is 30 sq.m. and volume is 500 cu.m., is1). 50 m2). 60 m3). 40 m4). 20 m |
| Answer» 50 m | |
| 48. |
Three solid metallic balls of radii 3 cm, 4 cm and 5 cm are melted and moulded into a single solid ball. The radius of the new ball is :1). 2 cm2). 3 cm3). 4 cm4). 6 cm |
| Answer» OPTION 4 is the ANSWER | |
| 49. |
Diagonal of a cube is $6\sqrt{3}$ cm. Ratio of its total surface area and volume (numerically) is1). 2:12). 1:63). 1:14). 1:2 |
| Answer» | |