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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. |
1. Find the HCF of the given polynomials:(0 14pg, 28p2. Factorise the following(ii) 8abc, 24ab2, 12a2b() 10x2- 18x3 + 14x4() 5x3y 10xyz + 15xy (i) p2x2+2x2-ac2 -app(iv) 15fx+y2-5x-y (v) (ax + by)2+ (ay - bxy? (vi) ax + by cx + bx + cy + ay(vi) 49x2 -70xy +25y2 (vii) 402 + 12ab+ 9b2(ix) 49p2 -36q2(x) 100x3-25xy2(xii) 12r3- 1422- 10x Cxiv) p2 -10p + 21(avi) 6x2-5xy - 6y2(avii) 2+ 2xy - 99y2.(rv) 2x2 - x 63. Divide as directed:(i) 15(y + 3) (y2-16) ÷ 5(y2-y-12)(ii) (3x3-6x2-24x) ÷ (1-4) (x + 2)(iii) (d-81) ÷ (x3 + 3x2 + 9x + 27) |
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Answer» HCFi) 14pq=2*7*P*q 28P^2q^2=2*2*7*p*p*q*qHCF(highest Common Factor)=2*7pq =14pq Crop only the question that you want a solution for. We will not be able to provide solutions to multiple questions. what is the sum of digits of the least multiple of13 which when divided by 6,8 and12 leaves 5,7and11 respectively as remainders |
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| 2. |
10. Kruti took some loan at 6(d) 4.5%whaарриonum simpleinterest during the first year with an0.5% for each year. After 4 yea*3375 as interest. How much waswith an increase ofer 4 years she paid(c)-w much was the loan?(a)(b)12500332509. By :makolls |
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Answer» Let the loan taken be Rs. X , then X × 6/100 × 1 + X × 6.5/100 × 1 + X × 7/100 × 1 + X × 7.5/100 × 1 = 3375 => (6+ 6.5 +7 +7.5) × X/100 = 3375 => X = (3375 × 100/27) = 12500 |
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| 3. |
TULLUIst yo*760.50; find the rate of interest.3. A certain sum amounts to * 5,292 in twoyears and 5.556.60 in three years, interestbeing compounded annually. Find:(i) the rate of interest(ii) the original sum.for 2 ye* 3,560(i) the i(ii) the(iii) theyeandyearlyon |
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Answer» Given amount of 2 years = 5292 RsAmount of 3 years = Rs 5556.6.Let sum = Rs p and rate of interst = r%Amount = sum (1+rate/100)^time5292 = p (1+r/100)²p = 5292/(1+r/100)²→ A Similarly5556.60 = p(1+r/100)³p = 5556.60/(1+r/100)³→ B From A and B5292/(1+r/100)² = 5556.60/(1+r100)³5292 = 5556.60/(1+r/100)5292 = 5556.60/(100+r/100)5292 = 5556.60*100/(100+r)529200 + 5292r = 5556605292r = 555660 - 529200r = 26460/5292 = 5%Rate of interest = 5% p = 5292/(1+5/100)²p = 5292/(21/20)²p = 5292/(441/400)p = 5292*400/441 = Rs 4800Sum = Rs 4800 From where did you get 21/20 |
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| 4. |
2z+1es will Dx +Since the ra4'TI s: ?Isolutio(ix)present age of Rambratioage of Ram be (4x) yeaAfter four years45+6 3(x +2)(x+3) 2(xi) 5 16-2x 15According to7x +1or which the given equation is satisfied.e |
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| 5. |
At what simple interest rate per cent will3000 amount to? 5000 in 6 years and 8months? |
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Answer» 8 months = 8/12 = 2/3 years so, total years = 6+2/3 = 20/3 years now principle is = 3000 and amount is = 5000S.I = A-P = 2000 = P*R*T/100 => 2000 = 3000*(R)*(20/3)/100=> R = 2000*100*3/(3000*20) = 10% |
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| 6. |
38.The temperature of an ice cubewas 0 °C. It was then warmedfor ten minutes at the rate of5 °C per minute and the resultingwater cooled at 6 °C per minutefor 8 minutes. What was itstemperature after cooling?A. 2°C B. 48 °CC. 50 °C D. 98 °C |
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Answer» answers is D. 98.C, |
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| 7. |
The side of a square sheet is increasing at rate of 4 cm per minute. At what rate is thearea increasing when the side is 8 cm long?1.ar、ond you fast is |
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| 8. |
3. Find the Simple Interest on Rs.5000 for 3 years at the rate of 10% per annum. |
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Answer» Simple Interest=(P*R*T)/100=₹(5000*10*3)/100=₹1500 |
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| 9. |
have to pay if he buys itatiioudiitArun bought a pair of skates at a sale where the discount given was20% ,If theamount he pays is1,600, find the marked price. |
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| 10. |
2Lex can paint 5 yards of fencing in one hour. At this rate, how many inches doesshe paint per minute? (Example 2) |
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| 11. |
One candy cost rs.5 . Then how much rs. Will be cost to buy 10 candies. ? |
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| 12. |
Q. 5. Solve any one of the following subquestions:4(1) A wire is bent in the form of a rectangle having length twice thebreadth. The same wire is bent in the form of a circle. It is foundthat the area of the circle is greater than that of the rectangle by104.5 cm2. Find the length of the wire.hohility of |
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Answer» Define x: Let the breadth be x The length = 2x Find the area of the rectangle: Area = Length x Breadth Area = 2x² Find the perimeter of the rectangle: Perimeter = 2(Length + breadth) Perimeter = 2(2x + x) Perimeter = 6x Find the radius of the circle in term of x Circumference = 2πr 2πr = 6x r = 6x ÷2π r = 3x/π Find the area of the circle in term of x: Area = πr² Area = π(3x/π)² = 9x²/π Solve x: The area of the circle is greater than the rectangle by 104.5 cm² 9x²/π - 2x² = 104.5 x² (9/π - 2) = 104.5 19/22 x² = 104.5 x² = 104.5 ÷19/22 x² = 121 x = √121 x = 11 cm Find the length of the wire: Length = 6x = 6(11) = 66 cm |
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| 13. |
867 \text { stite } 255 |
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| 14. |
(a)Green plants are called ............ since theytheir own food. |
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Answer» green plants are called autotroph since cook thier own food green plants are called autotrophs since they prepare their own food. |
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| 15. |
4143.a forg-) 2xy x3y2 + 5x ?y*(8y - 3x)(8x? +20232-2)) Sabe x10,2xl-3abc%) 6265x + 4x (4x - 7y) -10xya?(a - b) + ab? (ab -32-a?b(8-3)(vi) -8abcx 462x3ab2% (-20)3.22 |
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Answer» 1)6xy³+40x²y²-15x³y=xy(6y+40xy-15x²) is the right answer |
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| 16. |
RS 355 have been divided among A, B, Cin such a way that A had Rs 20 morethan B and C had Rs 15 more than A.How much was C's share?A Rs. 100B Rs. 120C Rs. 135D Rs. 150 |
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Answer» option c |
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| 17. |
nd 75 pencils altogether a) Rs. 9 b) RSmis and 75 pencils altogether were purchased for RS. 510. If the average price of a pencil was Rs. 2, watwas the average price of a pen? a) Rs. 9 b) Rs. 10 c) Rs. 11 d) Rs. 12 |
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| 18. |
28.Vater running in a cylindrical pipe of inner diameter 7 cm, is collectedin a container at the rate of 192.5 litres per minute. Find the rate of fowCBSE 2013of water in the pipe in km/hr |
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| 19. |
28. Water running in a cylindrical pipe of inner diameter 7 cm, is collectedin a container at the rate of 192.5 litres per minute. Find the rate of flowCBSE 2013]of water in the pipe in km/hr. |
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| 20. |
7. The inner diameter of a circular well is 4.2 m. It is 12 m deep. Find (i) its inner curved surface area(i) the cost of plastering the inner curved surface at the rate of R 50 per m2.A metal pipe is 77 cm long, the inner diameter of the cross-section is 4 cm and the outer diameter is |
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Answer» If you find this solution helpful, Please give it a 👍 |
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| 21. |
7. A hollow metal pipe is 63 cm long. The inner diameter of cross-section is 4 cm and the outer diameter is4.8 cm. Find the total surface area of the pipe. |
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| 22. |
Varun bought a packet of 100 candies. He gave 4 of the candies to his friends. Howcandies did he give away? How many candies does he have now? |
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Answer» Varun bought a packet of 100 candieshe gave 4 / 5 of the candies to his friendsnumber of candies did Varun give to his friends equals to= (4/5)×100=80number of candies left with Varun equals to=100-80=20 |
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| 23. |
Chris returned cans to the recycling centerand got 5.cents for each can. Chris got!$4.50 in all. How many cans dld Chris return? |
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Answer» We know 1 dollar = 100 centsso 4.50= 4.50*100= 450 centsnumber of cans= 450/5= 90thanks no. of cans is 90 |
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| 24. |
9. The cost price of 12 candles is equal to the selling price of 15 candies, ringpercent. |
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| 25. |
12 5 [ ISR 35व वा 5 ) 36 |
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Answer» LHS:- 13/24 * (-12/5 * 35/36)= - 13/24 * (-7/3)= 91/72 RHS:(-13/24 * - 12/5) * 35/36= 13/10 * 35/36= 13/2 * 7/36= 91/72 Hence proved |
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| 26. |
R ILEIA=IRNC ISR =" O~ ¢ e eB> 2 He 506०. detoen (2,3) / 2:25दल पा पट 2..." A J O S ) |
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| 27. |
1, P. Q R and S are respectively the midpoints of thesides AB, BC, CD and DA of a quadrilateral ABCShow thatG) PQIAC and PQ AC(ü) PQ ISRGi) PQRS is a parallelogram. |
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Answer» thanks for help |
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| 28. |
Shadows formation shows that light:(a Travel in straight lines(c) Exhibits wave nature(b) Can travel in vacuum(d) Carries energy |
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Answer» The answer is Option A. |
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| 29. |
a) volidllarea of square of 1 m length isThea) 1 sq. cmb) 2 sq. ckilometer in terms of metres is) 100b) 1000o figures are congruent, theb) samsame shapegures are having same |
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Answer» area of 1 m square is 1 sq.m 1 km = 1000 m |
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| 30. |
· Cos 10° + cos 110° + cos 130° |
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Answer» cos 10 + cos 110 + cos 130 = (cos 10 + cos 110) + cos 130 = 2 cos (110 + 10)/2 * cos (110 - 10)/2 + cos 130 {using cos C + cos D = 2 cos (C + D)/2 * cos (C - D)/2 } = 2 cos 120/2 * cos 100/2 + cos (180 - 50) ( As 130 = 180 - 50) = 2 cos 60 * cos 50 - cos 50 (Using cos (180 - A) = - cos A) = 2 * 1/2 * cos 50 - cos 50 ( As cos 60 = 1/2) = cos 50 - cos 50 = 0 |
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| 31. |
11, Rama bought 72kg of wheat for324. How many kilograms of wheat could she have bought ifshe had spent only144? |
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Answer» thanks bro |
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| 32. |
12(3x -1)-2(x +1) /11x +4 =4/3 |
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| 33. |
3x +11x -4=0 |
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| 34. |
(i)3x2+11x-4-0 |
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Answer» 3x^2 + 11x - 4 = 03x^2 + 12x - x - 4 = 03x(x +4)-1(x+4)=0(3x-1)(x+4)=0x = 1/3, - 4 |
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| 35. |
3x2+11x-4=0 |
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Answer» Thnxx for the solution but I am of grade 10 not 9 |
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| 36. |
Divide ? 1000 among A, B and C so that their share is in the ratio 2:3:5. |
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Answer» ehate let the ratio be 2x, 3x, 5xATQ, 2x + 3x + 5x =1000=> 10x = 1000 .. . x = 1000/10 = 102x = 2×100 = 2003x = 3×100 = 3005x = 5× 100 = 500 |
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| 37. |
VILNIUS o tall at thcost of 5 kg of wheat is 91.50.a) What will be the cost of 8 kg of wheat?h What quantity of wheat can be purchased in 1832 |
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Answer» cost of 1kg=₹91.50/5=₹18.3cost of 8kg=18.3×8=₹146.4wheat purchased in ₹183=183/18.3=10kg let 5 kg wheat=91.50rs than 1kg =91.50/5=18.3so, cost of 8kg wheat =18.3*8=146.4rsagain quantity of wheat purchased in 183rs =183/18.3=10 A)5 kg=91.501kg=91.5/5=18.38kg=18.3*8=rs 146.4B)1rs =1/18.3kgRs 183=183/18.3=10kg cost of 8kg wheat is 146.4 rs10kg wheat can be purchased in R.s 183 A) 5 kg =91.501kg=91.5/5=18.38kg=18.3*8=rs146.4B) 1rs=1/18.3kgRs 183=183/18.3=10kg |
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| 38. |
7.A corridor of a school is 8 m long and 6 m widc. It is to be covered with canvas sheets.If theavailable canvas sheets have the size 2 m x 1 m, find the cost of canvas sheets required to coverthe corridor at the rate of Rs 8 per sheet |
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| 39. |
4. Cost of 5 kg of wheat isR 91.50.(a)(b)What will be the cost of 8 kg of wheat?What quantity of wheat can be purchased in183?m 20 dove If th |
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| 40. |
4.A conical tent is 10 m high and the radius of its base is 24 m. Find(i) slant height of the tent.(ii) cost of the canvas required to make the tent, if the cost of 1 m2 canvas is F 70.(i) cost of the canvas required to make the ten,ifthe co ova |
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| 41. |
Shyam sold 500 kg potatoes for 2250and earned a profit of 12 2%. If he soldthem at ?4per kg, find his profit or losspercent. |
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Answer» Selling price of 500 kg potatoes is 2250 Rs. Profit % = 12.5% cost price of 500 kg potatoes=cp(100÷(100+profit%) =2250(100÷(100+12.5) =2000 Rs Now, New rate of selling is 4 Rs/kg. New selling price of 500 kg potatoes is =500×4 =2000 Rs New selling price 500 potatoes= Cost price of 500 potatoes So there is no profit and no loss. |
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| 42. |
Salim bought an article for Rs. 784 which included GST of l 2% . Whatsthe of the article before GST was added? |
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| 43. |
10. Divide1000 between Shubh and Swastik suchthat one-third share of Shubh and half the shareof Swastik are equal. |
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Answer» Thank u very much brother. Today is my math exam and u helped me a lot.....!!!!!! I ALSO PLAY COC MY FAVORITE GAME IS IT |
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| 44. |
3. A cube is a three-dimensional figure asshown in Fig 11.11. It has six faces and ali 11.10. of them are identical squares. The lengthof an edge of the cube is given by I. Find the formula for thetotal length of the edges of a cube,./An .230Fig 11.11 |
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| 45. |
e) Who was Salim Ali ? |
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Answer» Salim Ali, one of the greatest ornithologists and naturalists of all time, is also known as the “birdman of India”. He was one of the very first scientists to carry out systematic bird surveys in India and abroad. His research work is considered highly influential in the development of ornithology |
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| 46. |
7*4*1 |
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Answer» 7*4*1=28 os the correct answer 7 × 4 × 1= 28is the answer 7 × 4 × 1= 28 is the answer of the question 7×4×1=28 is the right answer 28 is the answer for this question 7×4×1=28 is correct answer. 7*4*1=7×4×1 =28 7×4×1=28 is the correct answer 4*7=287*4=28hope it helps... Thank you =7×4×1=28×1=28.answer 7*4*1=7×4×1 =28 7×4×1=28 is a right answer 28 is the answer for this 28 is the answer 28 is the answer for this 7*4*1=7×4×128×1=28 |
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| 47. |
I an AP by mserting 6 terms between -4 and 10.Form an AP by inserting 5 terms I 1 and-7.レ0607 Ifin an arithmati |
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Answer» Here the first term is 11 , on addition of 5 terms total terms will be = 5+2 = 7 terms so -7 = a+(n-1)d => -7 = 11+(7-1)d => -7-11= 6d => d = -3 now, the other terms are a+d , a+2d , a+3d, a+4d and a+5d = 8,5,2,-1,-4 thanku very much |
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| 48. |
Form an AP by inserting 6 terms between-4 an |
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| 49. |
Q.6Form an AP by inserting 5 terms11 and -7 |
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| 50. |
Find four rational numberbetween 1/5 and 1/6 |
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Answer» Find the L.C.M 1 / 5 and 1 / 6 L.C.M = 30 1 × 6 / 5 × 6 = 6 / 30 1 × 5 / 6 × 5 = 5 / 30 Now multiply both numerator as well as the deniminator with 10 5 × 10 / 30 × 10 = 50 / 300 6 × 10 / 30 × 10 = 60 / 300 Now select any four between them 51 / 300 , 52 / 300 , 53 / 300 , 54 / 300 |
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