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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. |
4. Find the cost of digging a cuboidal pit 8 m long. 6 m broad and 3 m deep at the tatc oV Rs 30 perm |
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Answer» Given cuboid dimensionsLength = 8mBreadth = 6m andHeight = 3mRate per m² = Rs30Total cost = Total surface area× 30⇒2(lb + bh + hl)×30⇒2[(8×6) + (6×3) + (3×8)] ×30⇒2(48+18+ 24)×30⇒2(90)×30⇒180×30∴Rs5400 is the total cost to dig the pit |
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| 2. |
(2) Multiply the given polynomials:2x, x2-2r _ 1. |
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| 3. |
tanglewhoMaths siptest.Fong the breadth of a rectangis 76. and length is 26.Denmeterof a rectang ce field21 Find perimeterwhich is 36m long and 24 m. 100of aand breadthThe Longthfield are 122 5 m andrectangular14.5 m respectively Jingfacing its four sdeg at the va161 Perimeter.Ans usersCOS |
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Answer» pppppppppppppppppppppmeans I can't understand your question's properly... one by one 👉 if length is 26 cm and perimeter is 76cm so perimeter =2(l+b) 76÷2=26 38 -26 =12cm it is your breadth 12 cm is the breadth |
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| 4. |
hape of a garden is rectangular in the middll and semath ends as shown in the diagram. Find the area and the perimethe enT of this garden [Length of rectang7 m 20-(3.5+3.5) metres. |
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| 5. |
12. Prove that a cyclic parallelogram is a rectangle |
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| 6. |
4. Find the area of the triangle whose sides are 13 cm, 20 cm and 21 cm. Also find the athe triangle corresponding to the largest side |
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| 7. |
Two cubes of side 1cm each are joined end to end. Find the volumeof the cuboid formed. |
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Answer» lbh= 2 cm^3 is the answer |
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| 8. |
5.A Im wide path is built along the boundary of a square park of side 36m. Find(1)the area of the path.(ii) the cost of spraying insecticide in the remaining portion of the park at the rate of f i5 per nathe rate ofă15 per18. |
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| 9. |
How many cubes of side 12(Take 1cm 1000mm)c4xmm are contained in a cube of side 36 cm? |
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Answer» Volume of smaller cube = 12³ Number of cubes that fit = (36 * 10)³/(12³) = 27000 cubes |
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| 10. |
resORand AD is a median. If AD 12 cm and the perimeter of Î ABCm ABC AB ACis 48 cm. then find ABC.f tanents from a point in the exterior of the circle whose |
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| 11. |
If 1cm =5m, 6cm square represents - m square |
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Answer» if 1cm = 5cm then 6 cm = 6*5 = 30 cm |
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| 12. |
eisting Im costsRs 20length, breadth and height of a room are S m, 4 m and 3 m respectively Find thet of white washing the walls of the room and the ceiling at the rate of2.cosRs 7.50 per m. |
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| 13. |
A pat 1 m wide is built inside a square park of side 30 m along its sides. Find the areaof the path. Calculate the cost of constructing the path at the rate otro perm |
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Answer» side of square park (A) = 30m width of path = 1m side of inner park (a) = 30-1-1 = 28m cost of construction = 70 per m^2 Area of path = Area of square park - area of park inside the path = A^2 - a^2 = 30^2 - 28^2 = 900 - 784 = 116m^2 Cost of construction of path = 70×116 =8120 |
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| 14. |
L00 permA path I m wide is built along the border and inside a square garden of side 30 m(6) the area of the path(ii) the cost of planting grass in the remaining portion of the garden at the rate fng grass in the remaining portion of the garden at the raeof40 per m |
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Answer» Area of path=Area of big square - area of small square=30²-28²=116m² Cost of planting in 1m²=Rs40Cost of planting in 116m²=Rs40*116=4640Rs |
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| 15. |
12. The area of a circular playground is 22176 m2. Find the cost of fencing this ground athe[NCERT EXEMPLAR]rate of 750 per metre. |
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| 16. |
10) Gauss theorem :- |
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Answer» Gauss's lawinelectrostaticsstates that the total electric flux through a closed surface is equal to the net electric charge enclosed by the surface divided by permittivity. |
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| 17. |
a cylindrical pillar is 50cm in diameter and 3.5m in height find the cost of painting the curved surface of the pillar at the rate of Res 12.50 per m |
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| 18. |
in mindrical pillat is 50cm in diameter and 3.5 min height. Find the cost of paintingA cythe curved surface of the pillar at the rate of t 12,50 per im' |
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| 19. |
if the cost per m is 48. Mohan wants to buy a trapezium shaped field.Its side along the river is parallel to and twicethe side along the road. If the area of this field is10500 m2 and the perpendicular distancebetween the two parallel sides is 100m, find thelength of the side along the river100 mーーーーーーーーーーーRiver |
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| 20. |
6. 9000 and Rs 10500 respectively. After 4 months Jayajoined them by investing Rs 12500 while Surjeetwithdrew Rs 2000. At the end of the year there was aprofit of Rs 4770. Find the share of Jaya.a) Rs 1620b) Rs 1650c)Rs 1500d) Data inadequat |
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| 21. |
isRs4.cost per mMehraj wants to buy a trapezium shaped field. Its sidealong the river is parallel to and twice the side along theroad. If the area of this field is 10500 m2 and theperpendicular distance between the two parallel sides is 100100 mm, find the length of the side along the river0River |
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| 22. |
ryderC. 3.14cmb. 2Ttrhd. 2πr(h + r)11. The formula to find volume of one rupee coin isd. 400πd. 400πt ii 50cm., then find its CSA.3cm12. The volume of a cylinder with diameter 10cm & heightc. 40πa. 100π4cm is3. The diameter of base of oulindb. 20πc. 40π2 |
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| 23. |
16 m4. There is a rectangular pillar (cuboid), 10 m in height. Its base is a square of si50cm. Find the cost of painting its four surfaces at the rate 750 perm |
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Answer» surface area of cuboid:2(lb+bh+hl)2(10x0.50 + 0.50x0.50 + 0.50x10)2 x 10.2520.5 m^2 cost= 20.5 x 50 = 1025 rs |
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| 24. |
The length, breadth and height of a room are 9 m, 5.6 m and 3.5 m respectively. Find the(i) area of four walls of roomi) number of tiles required to cover the floor of the room, if the size of each tile is 90 cm by 50cm. |
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Answer» A) Area of the 4 walls is th lateralSurface area = 2H (L+B)2 *3.5 (5.6+9)7 (14.6)100.2 m squareB) volume of Room / Volume of tile= 3.5*5.6*90/90*50= 0.0392 |
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| 25. |
Length of the fence of a trapezium shaped field ABCDis hBC-48 m, CD 17 m andAD 40 m, find the area ofAB is perpendicular to the parallel sides AD and BC. |
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| 26. |
ABC is an equilateral triangpoint (2,o and point B lieof points Band C.units. If coordinate of饿ex-allis. Find the coordinate |
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| 27. |
book were sullemeel,full. Find2. A drum of petrol is full. When 30 litres of oil are drawn from it,the capacity of the drum. |
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Answer» Let Capacity of Drum = X litres. Initially, Drum was 3X/4 part filled. 30 litres oil drawn then it become, 7X/12 part. Now, according to question, 3X/4 - 7X/12 = 30 (9X - 7X)/12 = 30 2X = 360 X = 180 litres. The capacity of the drum is 180 litres. The capacity of drum is 180 liters okvxsfbxxgbnc |
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| 28. |
4. Mr Sahai and his wife are both school teachers and earn? 16800 andて10500 per monthrespectively. Find the ratio of(1) Mr Sahai's income to his wife's income(i1) Mrs Sahal's income to her husband's income:(ili) Mr Sahai's income to the total income of the two. |
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| 29. |
If A's income is - th of B's income, then B's incomeis more than A's income by |
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Answer» Suppose B earns 100 as incomeso A will earn= 100*5/6= 500/6= 83.3So it is more than by 100-83.316.7 |
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| 30. |
4. Mr Sahal and his wife are both school teachers and earn 16800 and 10500 per monerespectively. Find the ratio of(1) Mr Sahal's income to his wife's income:(i1) Mrs Sahat's income to her husband's income:(ili) Mr Sahal's income to the total income of the two. |
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| 31. |
11. Length of a rectangle is 16 cm less than twice its breadth. If the perimeler Brectangle is 100 cm, find its length and breadth. |
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Answer» Let the breadth of the rectangle be x.length=2x-16 Perimeter of the rectangle= 1002(l+b) =1002(2x-16+x)=100 3x-16=503x=66x=22cm length= 44-16 =28 cm thx bro |
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| 32. |
Calculate the surface area of cylindrical drum of radius 21cm, height 50cm open at the top. |
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Answer» Formulas needed for Surface Area of Cylinder : Lateral Surface Area (LSA or CSA) = 2π r hArea of base = π r2Total Surface Area = TSA = 2 π r ( r + h) |
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| 33. |
(12) Find the cloth required in square metres to cover a cylindrical drum ofradius 70 cm and height 200 cm |
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| 34. |
2. Find the total surface area of a closed cylindrical drum if its diameter is 50 cmand height is 45 cm. (Tt 3.14) |
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Answer» is the answer equal to 10990 cm ^2 18.48sq cm 30.80sq cm |
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| 35. |
& Mohan wants to buy a trapezium shaped ficld.Its side along the river is parallcl to and twicethe side along the road. If the area of this field is100 m10500 m, and the perpendicular distancelength of the side along the riverRiver |
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| 36. |
Mohan wants to buy a trapezium shaped field.Its side along the river is parallel to and twicethe side along the road. If the area of this field is10500 m2 and the perpendicular distance -between the two parallel sides is 100 m, find thelengthof the side along the river.8.二. |
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| 37. |
कराकर e o)W) |- \—[jl\ o _1o- ) e[r[_Te+ (© -2-4 ५०० एव—_——— ——— — H*—.—*“’-m.l |
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Answer» 1)<2)>3)=4)<5)>6)>7)<8)<9)>10)>11)>12)= |
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| 38. |
Mohan wants to buy a trapezium shaped field.Its side along the river is parallel to and twicethe side along the road. If the area of this field is10500 m2 and the perpendicular distancebetween the two parallel sides is 100 m, find thelength of the side along the river.8. |
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| 39. |
8. Mohan wants to buy a trapezium shaped field.Its side along the river is parallel to and twicethe side along the road. If the area of this field is10500 m2 and the perpendicular distancebetween the two parallel sides is 100 m, find thelength of the side along the river.in in the sha |
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| 40. |
The area of the quadrilateral formedby y-2x, y-4x and the coordinateaxes is(A) 8(B) 6(C) 4(D) 12 |
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Answer» The given lines are parallel lines. Let the line y=2-x intersect the x-axis and y-axis in A and B respectively. Hence OA=OB=2 unit. (O is the origin). Let the line y=4-x intersect the x-axis and y-axis in C and D respectively. Hence OC=OD=4 units Required area=Area(OCD)-Area(OAB) Required area=1/2(OC.OD)-1/2(OA.OB) Required area=1/2(4*4)-1/2(2*2) Hence Required Area= 8-2 = 6 sq.units |
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| 41. |
Find the points on the curve y = x3 at which the slope of the tangent is equal to the y-coordinate ofthepoint. |
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| 42. |
2. Length of a rectangle is 16 cm less than twice its breadth. If the perimeter of the rectangle is 100 cm, findits length and breadth. |
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| 43. |
J. Length of a rectangle is 16 cm less than twice its breadth. If the perimeter of therectangle is 100 cm, find its length and breadth.95 |
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Answer» Let breath =xLength =2x-16Perimeter =2(x+2x-16)=6x-32=1006x=100+32X=132/6cm=22cm= breadthLength =2*22-16=44-16=28cm 28cm is the correct answer |
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| 44. |
(iv)Find the neroes of the given polynomials.c) ptx) = 3x(ii) p(x |
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Answer» x=0 is the right answer of the quetn3x=3×0=0 0 is the correct answer of the given question 0 is the right answer chand sun fattly family |
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| 45. |
0 Two parallel sides of a trapezium are 58cm and 42cm. The other two sides are of equallength which is 17cm. Find the area of trapezium |
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| 46. |
From a cylindrical drum containing petrol and kept vertical, the petrol is leaking at the rate of10 ml/sec. Ifthe radius of the drum is 10 cm and height 50 cm. find the rate at which the level ofthe petrol is changing when petrol level is 20 cm from bottom. |
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Answer» dV/dt = 5 cm^3/sec radius(funnel) = 10 cm height(funnel) = 20 cm dh/dt = ? at the point when the water level is dropping 5 cm from the best.volume = π/3(radius)^2(height) 1.) discover the proportion wager. the water and the cone shaped pipe. radius(funnel)/height(funnel) = radius(water)/height(water) give r a chance to be the radius(water) and h be height(water) 10cm/20cm = r/h 1/2(h) = r 2.) the volume of the water is the same as the volume of the conelike pipe. volume = π/3(radius)^2(height) substitute 1/2(h) to the range volume = π/3(1/2*h)^2(height) volume = π/3(1/4*h^2)(h) volume = πh^3/12 3.) separate the new eq'n shaped as for time. give V a chance to be the volume d/dV(V)dV/dt = d/dh(πh^3/12)dh/dt dV/dt = (πh^2/4)dh/dt connect to the water level, w/c is 15cm (since the water level is dropping when it is 5cm from the best) and the rate of the spilling of the water from the cone shaped channel 5 cm^3/sec = (π*(15 cm)^2/4)(dh/dt) 5 cm^3/sec = 176.7145868 cm^2(dh/dt) - 0.028 cm/sec = dh/dt - > last answer (negative implies that the water is spilling) |
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| 47. |
Scro Citssc) doc |
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Answer» this is the answer here |
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| 48. |
man ana boy!26. A grocer wishes to mix spice at Rs 8 a kg with another sortat Rs 5 a kg to make 60 kg to be sold at Rs 6 a kg: what quantityof each must he take? |
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Answer» Let quantity of first spice required be xThen quantity of second spice required be 60-x As per given condition60*6 = 8*x + 5(60-x)360 = 8x + 300 - 5x3x = 60x = 60/3 = 20 Therefore, quantity of first spice required = 20 kgQuantity of second spice required = 60-20 = 40 kg super |
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| 49. |
ghfind the volume of the culender whose base diameteris iucm and height is locm. |
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Answer» 1540 is the correct answer |
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| 50. |
ve The length of a rectangle is 16 cm. If its perimeter is 50 cm, find its breadth. |
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Answer» length=16cmperimeter=50cmlet breadth=xcmATQ,perimeter=502(l+b)=50l+b=50/2=2516+x=25x=25-16=9cmhence breadth of rectangle is 9cm l +b =25b= 25-16b=9Breadth is 9 cm. L+B=50/2 =2516+x=25 x=25-16 x=9cm x=9 cm is the right answer length+ breadth=50/2=2516+x=25x=25-16x=9cm the value of x is 9 right answer x=9 cm it is the correct answer |
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