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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. |
L000IietresViRajdhani Express runs at 98 km/hr. How much distance does it cover from 9.15 a.m.to 2.13p.m.? |
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| 2. |
spring constant |
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Answer» kis thespring constant, in Newtons per meter (N/m), and x is the displacement of thespring from its equilibrium position. Thespring constant,k, is representative of how stiff thespringis. Stiffer (more difficult to stretch) springs have higherspringconstants. |
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| 3. |
A takes 5 days more time than taken by B tocomplete a work and working together theyfinish it in 6 days. Find the number of days inwhich A will complete the work individually. |
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Answer» Let B takes x no. Of daysThen A takes x+5 days By rule of inverse variation 1*x = 2*6x = 12 No. Of days tKen by A = (x +5) = 17 wrong answer |
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| 4. |
ue to a delay caused by fog, the Rajdhani Expresseaves Dhanbad at 8.30 a.m. for Kolkata, 270 kmway. If it has to reach Kolkata at 10.30 a.m. sharp,t what uniform speed must it cover the rest of thejourney? |
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Answer» 10:30-8;30=2hrshence it has to cover 270km in 2hrshence speed=distance/timespeed =270/2=135km/hr thanks alot |
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| 5. |
7. Due to a delay caused by fog, the Rajdhani Expressleaves Dhanbad at 8.30 a.m. for Kolkata, 270 kmaway. If it has to reach Kolkata at 10.30 a.m. sharp,at what uniform speed must it cover the rest of thejourney? |
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Answer» Time= 10:30-8:30 = 2 hoursDistance= 270kmSpeed = distance/ time= 270/2= 135 km/hrTherefore, the speed should be 135km/hr. |
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| 6. |
3. The length of the minute hand of a clock is 14 cm. Find the area swept by the minehand in 5 minutes. |
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| 7. |
he area swept by the3. The length of the minute hand of a clock is 14 cm. Find thand in 5 minutes |
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Answer» thanks |
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| 8. |
ăšrWhat is the excess of 375 15 over 297 575?i0 10.2 |
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Answer» The excess of 375.15 over 297.575 is = 375.15-297.575=77.575the excess is 77.575 |
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| 9. |
3. The length of the minute hand of a clock is 14 cm. Find the area swept by the minute |
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| 10. |
The length of the minute hand of a clock is 14 cm. Find the area swept byhand in 5 minutes. |
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| 11. |
3. The length of the minute hand of a clock is 14 cm. Find the area swept bhand in 5 minutes. |
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| 12. |
9The hour hand of a clock is 6 cm long. Find the area swept by it between11.20 am and 11:55 am.S.sC |
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| 13. |
ute hand of a clock is 21 cm long. Find the area described by the minute hande face of the clock between 7.00 AM and 7.05 AM. |
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| 14. |
.NESGESERdepyRADOTAPREPARESERen8601486013AatsB16X2022X26T7 Ett min (1-1) 441mERUO865 |
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Answer» 62m2is answer but I see this is wrong answer sorry but answer(l-m)2 |
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| 15. |
The length of minute hand of a clook is 35em find area swept by minute hand in30min. |
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Answer» In 30 minutes, Minutes hand would cover 180° of angle! So it's sweeps half of area of circle! So! Area swept = (0.5) (π) (35)² After full calculation you would get answer as 1925 cm². Hope, your doubt is cleared! 1925 cm^2 |
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| 16. |
3. The length of a rectangle is 16 m less than two"times its breadth. If the perimeter of the rectangleis 112 m, find the length and the breadth. |
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Answer» suppose length=land breadth=bso l=2b-16now perimeter is 112so 2(l+b)=112so l+b=562b-16+b=563b=72so b=24so l=32 |
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| 17. |
Q13:The volume of a cuboid is 1536 m3. Its length is16 m, and its breadth and height are in the ratio3:2. Find the breadth and height of the cuboid. |
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Answer» the volume of cuboid is 1536m³. let the breadth be 3x and height be 2x , length = 16m.Also volume = L*B*H so, 16*3x*2x = 1536 => 96x² = 1536 or x² = 1536/96 = 16. Therefore x = 4m now breadth = 3x = 12m and height = 2x = 8m. |
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| 18. |
Example 6: Sanya has a piece of land which is in the shape of a rhombus(see Fig. 12.13). She wants her one daughter and one son to work on the land andproduce different crops. She divided the land in two equal parts. If the perimeter ofthe land is 400 m and one of the diagonals is 160 m, how much area each of them willget for their crops?100 m |
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Answer» Let ABCD be the field. Given perimeter = 400 m So, each side = 400/4 = 100 m Diagonal BD = 160 m Let a = 100 m, b = 100 m, c = 160 m ∴s = (a + b + c)/2 = (100 + 100 + 160)/2 = 180 m. Therefore, Area of△ABD = root under (√s(s - a)(s - b)(s - c)) =root under (√180(180 - 100)(180 - 100)(180 - 160)) =root under (√180 x 80 x 80 x 20) = 4800 m2 |
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| 19. |
the length of the minute hand clock is 14 cm. find the Area swept by the minute hand in 5 minutes |
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Answer» Please do not post the same question twice.Your question will be answered as soon as possible. |
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| 20. |
The length of the minute hand of a clock is 3.5 cm. Find the area swept by minute handin 30 minutes. |
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| 21. |
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 in. |
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Answer» 1 |
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| 22. |
Ten passengers were sitting along with theboatman in a boat. The average weight of the 11people was 61 kg. If the boatman is replaced byanother boatman weighing 52 kg, the averageweight of the 11 people would dip by 2 kg.What is the weight of the former boatman?(A) 59 kg(B) 61 kg(C) 68 kg(D) 74 kg |
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Answer» Let the weight of former boatman be x kgs. Now total weight of 11 passengers with former boatman =61 x 11=671 kgs. Again total weight of 11 passengers with second boatman (excluding former boatman)=(61-2) x 11=649 kgs. Now according to the sum 671-x = 649-52. Solving this we get x=74 kgs. Weight of former boatman is 74 kgs ffHf Drghjrvb ghgghh vhggh |
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| 23. |
The length of the minute hand of a clock is 14 cm. find the area swept by the minute hand is 5 minutes. |
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Answer» Angle made by hand of clock in 60min=360°So, in5min..... 360°*5/60=30°AREA OF SECTOR =22/7*14*14*30°/360°=51.333333333333 |
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| 24. |
(3h In ech o the loins dioes a cis dledsocu a cis cleainand insesibe the se givea(A) RectongeăŽtapezum |
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| 25. |
The length of the minute hand of a clock is 14 cm. Find the area swept bythe minute hand in 5 minutes.2. |
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| 26. |
VERY SHORT ANSWER TYPE QUESTIONS-1,2If A, B, C are the angles of a triangle and x = cis A, y = cis B, z = cis C; find the valueof xyz[May 16AP, 15TS, March 18AP, 15AP, April 98 & 94) |
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Answer» Since ABC are angle of triangleA+B+C=180°......(1) Given x=cis A, y=cis B,z=cis C Thus xyz=cis A×cis B×cis C=cis (A+B+C)=cis (180°) from (1)=cos 180°+ i sin 180°=-1+i (0)=-1 Therefore xyz=-1 |
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| 27. |
the cis teince |
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| 28. |
pardthe cis |
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| 29. |
what is the value of sin / cis |
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| 30. |
If A: B = 3 : 4 and B: C = 5:6, then A: Cis- |
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Answer» the ratio of A and C is 5:8 A:B means A/ A/B=5/8from this we get B=4A/3. ........(1) B/C=5/6use previous value of B in this4A/3C=5/6after solving A/C=5/8 A/B×B/C= 3/4×5/6 A/C= 15/24= 5/8A: C= 5: 8other mathod A/B= 3/4×5/5= 15/20B/C= 5/6×4/4= 20/24A:B:C= 15:20:24A:C= 15 : 24 = 3 : 8 |
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| 31. |
If South-East becomes North, North-East becomes West and so on, what will West become? |
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| 32. |
A rope of length 10 m has been divided into 8 pieces of the same length What is the length of each piece |
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Answer» = 1.25 m = 1 m 25 cm [∵ 1 m = 100 cm] |
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| 33. |
cach piecemhas been cut into 20 JULI13. The area of a room is 65m " If its breadth 1 3 16If its breadth is 5metres, what is its length?u find the atte324. Thedthe other |
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| 34. |
Example 6 3 Sanya has a piece of land which is in the shape of a rhombus(see Fig. 12.13), She wants her one daughter and one son to work on the land andprduce different crops. She divided the land in two equal parts. If the perimeter ofthe land is 400 m and one of the diagonals is 160 m, how much area cach of them willget for their erops?100 m |
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| 35. |
TRY THESE6)1. Two angles of a triangle are 3 and RU. Find the third ano2 One of the angles of a angle is " and the otherww a piece ofaniglepaver cnt omeasure of cach of the equal angles.read in Chapter 14).Ycalled equal sides, Y3. The three angles of atiangle are in the ratio 122:1. Find alClassify the triangle in twodifferent ways.re also equaln an isosceles triangetwo sides have same |
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Answer» in the triangle sum of two angle is 90 which is the measure of the third angle also the difference of these 2 angle is 10 find the measure of these two unknown angles |
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| 36. |
how to get answer 1000 by using 8.8times by any calculation. + - × ÷ |
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Answer» 888 + 88 + 8 + 8 + 8 = 1000. it's correct |
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| 37. |
(c) The third term of a GP is 4. Find the product of its first five terms. |
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Answer» Let the common ratio be r.Let the terms be a, ar, a(r^2) , a(r^3) , a(r^4) and so on.Therefore, a(r^2)=4 (According to the question, the third term of the GP is 4).Product of the first five terms = a * ar * a(r^2) * a(r^3) * a(r^4)= (a^5) * (r^10)= [a(r^2)]^5= 4^5.= 1024. |
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| 38. |
I=F(9)2 xdi(x+D(x+ 2)Using purtial fraction, we getx dsSo |
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| 39. |
30. A rope of length 10 m has been divided into 8 pieces of the same length. What is the length ofeach piece? |
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Answer» Length of each piece will be = 10/8, = 1.25 m, = 1m,25 cm. [ Since 1m = 100cm ]. length of the one piece will be 1.25 m Length f the rope divided into 8equal piece=10mLength of one piece=10m÷8 =1.25m=1m=25cm 1.25metre is the ans. |
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| 40. |
such packet?0. A rope of length 10 m has been divided into 8 pieces of the same length. What is the length ofeach piece? |
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| 41. |
TheowsExample 3 Let the sequence an be defined as folla, = 1, an = an-, l + 2 for n22.FirFind first five terms and write corresponding series, |
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| 42. |
we have to get 24 using these four numbers 12,8,8,9 |
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Answer» To get 24 12 × 8 - 8 × 996 - 7224 |
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| 43. |
A rope of length 10 m has been divided into pieces of the same length. What is the length ofcach piece? |
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| 44. |
Arope of length 10 m has been divided into 8 pieces of the same length. What is the length ofeach piece? |
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| 45. |
006. By what number shouldbe multiplied to get 24?15d+be |
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Answer» -45 is the answer of the following right answer is -45 of this Ques |
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| 46. |
If a box of sweets is divided among 24 children, they will get 5 sweets each. Howmany would each get, if the number of the children is reduced by 4? |
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| 47. |
) 24 hananas were distributed between Shubbam &Anil in the ratio 3:5, then how many banana's didboth get? |
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Answer» Let Shubham get bananas = 3xLet Anil get bananas = 5x Then,3x + 5x = 248x = 24x = 24/8 = 3 Therefore,Shubham get bananas = 3x = 9Anil get bananas = 5x = 15 |
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| 48. |
EXERCISE 161. Round each of the following numbers to the nearest tenfb) 173(c) 38691537 |
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| 49. |
2. Convert the units in following questions(i) 120 centimeter |
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Answer» 1m=100cm1cm=0.01m120cm=120×0.01=1.2m 120centimeter = 1.2 meter 120 centimeter = 1.2 meter i have also done the same☺ |
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| 50. |
IF the area of a rhombus is 96 sq.cm and one of its diagonal is16 centimeter, find its perimeter. |
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Answer» Let construct a rhombus with diagonal of 16 cm and d2 Area = 1/2 × d1 × d2 96 cm^2 = 1/2 × 16 cm × d2 96 cm^2 = 8 cm × d2 96 cm^2 / 8 cm = d2 12 cm = d2 Now half the diagonals to make a small triangle AOB 16/2 = 8 cm12/2 = 6 cm h^2 = b^2 +p^2h2 = 8^2+6^2h2=100h= root 100h =10 cm |
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