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.
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CALCISLODAwo numbers are in the ratio 8:3. If the sum of the numbers is 143. find the numbers.han the oridinal number. Find the number. |
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Answer» let numbers be 8x and 3x. according to question, 8x+3x=14311x=143x=13 so numbers are 8×13=1043×13=39 ans 1st no. is 104 and second no. 39 let the numbers are 8x and 3x A. T. S. 8x+3x=143 11x=143 x=143/11 x=13therefore the numbers=8x13=104 3x13=39 8x ,3x is correct answer 3x,4x is correct amswer 39 is the right answer let the x is included in the rationumber=8x and 3xthen,8x+3x=143 11x=143 x=13number=8x=8×13=104and other number=3x=3×13=39 let numbers be 8x and 3x.according to question.8x+3x=14311x=143x=13 so numbers are 8×13=1043×13=39answer let's take number be x: 8x+3x-14311x-143x-143/11x-13 therefore,: 8into 13-104 3into13-39 so two numbers are 104 and 39 as 104+39-143 X+Y=143Y=(143-X) .....(1) X/Y=8/3 X/(143-X)=8/3 ; putting value of (1)X=104✔Y=(143-104)=139✔ 5 is correctly answer plz like my 104 and 33 is answer for this question let the no be 8x and 3xnow 8x+3x=143or,11x=143or, x=13so, no will be 8x=1043x=39 Let the ratio factor be X. first number = 8Xsecond number = 3X A/Q 8X + 3X = 14311X = 143X = 143 / 11 = 13 first number =8X= 8 x 13 = 104second number =3X= 3x13= 39 104 39 is answer for this question 104 and 39 is the best answer 39 is right answer ...... 8x+3x=14311x=143 x=13 Let the two numbers be 8x and 3x respectively according to question , 8x+3x = 143=> 11x = 143=> x= 143/11 => 13 x = 13 then ,=> 8x = 8(13) => 104=> 3x = 3(13) => 39 the two number are 94 and 39 104. 39 is answer for this question 104 and 39 is the right answer 104 and 39 is answer for this question one no. is 104 and second no. is 39 104 and 39 is answer for this question The first number be= 8/11*143=104&the second number be=3/11*143= 39 39 is the correct answer and other is 94 which is 1st no. one no.is 104 and second is 39 104 and 33 is the right answer the no.s are 104 and 39 let the first no. be = 8xsecond no. = 3xthe give no.= 146therefore,8x + 3x = 14611x= 146x=146/11answer=13 therefore, first no. = 3x =3*13 =39second no.=8x=8*13=104 the nos are 104 and 39 39 is right answer plz like my answers I like yours let xand y be the two no.8/3=x/y8y=3xx+y=1433/8y+y=143y=104x+104=143x=39 8x+3x=143x=143/11=13 numbers are 8x=8×13=104✔🇮🇳3x=3×13=39✔🇮🇳 Let the two numbers be 8x and 3x respectively according to question , 8x+3x = 143=> 11x = 143=> x= 143/11 => 13 x = 13 then ,=> 8x = 8(13) => 104=> 3x = 3(13) => 39 hope this helps the ratio =8:3the sum of the numbers=1438x+3x=14311x=143x=13 104 and 39 is the correct answer let the no. are 8× and 3+× 8×+ 3×=143. ×=13 so numbers are 8×13=104 and 3×13 =39 104 & 39 is the right answer Let the 1st no. be x 8x + 3x = 143 11x = 143 x = 143/11 x = 13 Hence , 8x = 8×13 = 104 3x = 3×13 = 39 39 is the right answer the numbers are 104 and 39 8x+3x=143, 11x=143, x=143/11=13 , so number are 8×13=104, 3×13=39. because let number is 8x and 3x GK only no mathmatics 8x+3x=143, 11x=143, x=143÷11=13 , because let let number is 8x and 3x ,so number are 8×13=104 , 3×13=39 ; this is the right answer 39 is theright answer the correct answer 104 and 39 39 is the correct answer of following question Let the ratio ne 8x and exTheir sum is 143Therefore,8x+3x=14311x=143x=143/11x=138x=8×13=943x=3×13=39Hence the two numbers are 94 and 39 104 and 39 is the right answer 109 and 39 is the right answer 8 ratio = 1043 ratio is = 3939+104= 143 Let the two numbers be 8x and 3x respectively according to question , 8x+3x = 143=> 11x = 143=> x= 143/11 => 13 x = 13 then ,=> 8x = 8(13) => 104=> 3x = 3(13) => 39 39 is the correct answer 8x+3x=11x ,11x = 143 ,13 8/3+x=143x=143×3/8x=53 8x+3x=14311x =143x =143/11x =13hence, the number is 13 104 and 39 correct answer for this question 39 is the correct answer 8x + 3x = 14311x = 143 x = 143 / 11x = 138x = 8 × 13 = 943x = 3 × 13 = 39please mark me as best 11x=143so, x=13now the numbers are 104 and 39 39 is the right answers the required numbers are 104 and 39 LET THE NUMBERS BE 8x AND 3x.THEREFORE, 8x + 3x=14311x=143x=143/11x=13THEREFORE THE NUMBERS ARE 8x=8×13=104 and 3x=3×13=39.CHECK104+39=143THEREFORE CHECKED let the numbers be 8x and 3x therefore,8x+3x=143so,11x=143x=143/11x=13therefore the numbers are8x=8×13=143and,3x=3×13=39CHECK BY104+39=143hence checked than first namber 104 and second number 39 let number be 8X and 3X 8*+3*=1433*13=39 1st no.is 13 and 2nd answer is 39 let the numbers be 8x and 3x 8x+3x=14311x=143x=13 so the numbers are8x+3x=1043×13=39 ans one no.is 143 and other is 39 The numbers are are 104 and 39 39 is the correct answer to this question Let the numbers be 8x and 3xtherefore,8x + 3x = 14311x = 143x = 143/11x= 13therefore the numbers are 8x =104, 3x = 39. let the ratios be xa/qthe sum of the ratios = 143so8x+3x=14311x=143x=143/11x=118x= 11×8 =883x= 11×3 = 33so the first no. = 88 and the second no.=33 104 and 39 are the two numbers Two number ratio 8x and 3xThe sum of number=1438x+3x=14311x=143x=143/11x=13 ans |
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| 2. |
x) 0.5 x 10Awo-wheelercwill it cover in 10 litres &fpctro?of553 kminonelitre ofpetrol Heow |
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Answer» Distance covered in 1 litre of petrol=55.3 km Distance covered in 10 litre of petrol=55.3×10 km=553 km |
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| 3. |
Sum of twe numberis ten more than the other. What areone of the numererawo number is 26e other. What are the numeron? |
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Answer» Given:Let the number be x and yx+y=74..(1)x=10+y..(2)substitute (2) in (1)(10+y)+y=7410+2y=742y=74-102y=64y=32 substitute in (1)32+x=74 x=74-32=42 Thus the two numbers are 42& 32 |
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010 |
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| 5. |
2x +3x-2Solve for xr+ x-2 2x3 |
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Answer» x + 1 / x - 1 + x - 2 / x + 2 = 4 - 2x + 3 / x - 2 Taking lcm we get (x + 2)(x + 1) + (x - 1)(x - 2) / (x -1) ( x + 2) = 4(x - 2) - (2 x + 3) / x - 2 x^2 + 3x + 2 + x^2 - x - 2x + 2 / x^2 + x - 2 = 2x - 11 / x - 2 = 2x - 11 / x - 2 2x^2 + 4 / x^2 + x - 2 = 2x - 11 / x - 2 2x^3 - 4x^2 + 4x - 8 = 2x^3 + 2x ^2 - 4x - 11x^2 - 11x + 22 5x^2 + 19x - 30 = 0 5x^2 + 25x - 6x - 30 = 0 5x( x + 5) - 6( x + 5) = 0 (x + 5)( 5 x - 6) = 0 x + 5 = 0, 5 x + 6 = 0 x = - 5 , x = 6 / 5 |
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n th geometric mean = |
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| 7. |
30. The geometric mean of two numbers a and b is 8 and their harmonic mean is 6.4. The numbersarea)2&8b) 4 & 16c) 4 & 8d) 2 & 16 |
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Answer» Option B is correct. |
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| 8. |
A man got a 10% increase in his salary. If his new salary is? 154,000, finoriginal salary1" |
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A man got a 10% increase in his salary. If his new salary is? 1,54,000, find hisoriginal salary1, |
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| 10. |
man got a 10% increase in his salary. If his new salary is? 154,000, find hisoriginal salary1. A |
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| 11. |
A man got a 10% increase in his salary. If his new salary is? 154,000, find hisoriginal salary.1 |
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| 12. |
EXAMPLEFind the median of 7, 6, 5,3,9,4, 3 |
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| 13. |
ExampleFindtheheightofacylinderwhoseradiusis7cmandthetotal surface area is 968 cm^2 |
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Answer» h=2π/rh=2*22/7*7h=22 cm |
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A man got a 10% increase in his salary. If his new salary isoriginal salary.1.1,54,000, find his |
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1. A man gota 10% increase in his salary. If his new salary is ÂĽ 1 54,000, find his" original salary. |
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Answer» that salary increasing 10%simple this original salary is 154 rupees two x kha se aya |
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| 16. |
Find the equation of the tangents to the circle xe + y4 which make an angle of 60° with the positive x-axis in anticlockwise direction |
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EXERCISE1. Insert the symbol >, < or = in each circle,IditiaMoraweroi od6o1318 za19Arrange in descending order.3. Arrange in ascendine4.1.14>>1ol COMO O Awwim -1 010 00100 HloFOLE AWO |
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Answer» is correct answer ... 13/17<4/17. is the correct answer 1.insert the symbol <,>or = in each circle a answered b >d < e <g <h < 2. arrange in descending order b 3/5>2/5>1/5c 9/11>6/11>5/11d 22/13>12/13>10/13e 23/23>13/23>11/23 3. arrange in ascending order b 1/4<3/4<7/4c 6/6<11/6<16/6d 8/8<9/8<11/8e 1/9<6/9<7/9 |
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| 18. |
घन के एक पृष्ठ का परिमाप 24 सेमी है तो उस घन का आयतन ज्ञात कीजिए।वि के गण, s SN L SN L N N N o कर |
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Answer» volume of cube is side^3hence when side is 24cmhencevolume =(24)^3=13824cm^3 |
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| 19. |
3x+6x=8x |
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Answer» 9x = 8x9x - 8x = 0x=0 |
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| 20. |
6x(3x-7) = 7(7-3x) |
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| 21. |
3x+2x+4-6x-3x-3 |
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Answer» 5x + 4 - 6x - 3x - 35x - 6x - 3x + 4 - 35x - 9x + 1- 4x + 1 |
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| 22. |
Q.39/ A cone has its radius of base 20 cm and itsperpendicular height is 15 cm then find its curved surfacearea.2A) 375m cm2C) 50n cm300T cnmD) 500π cm" |
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Answer» Given,radius, r = 20 cmslant height, l = 15 cmNow,curved surface area of cone= πrl= π x 20*15= π x 300= 300π |
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| 23. |
Find all the zeroes of 2x1 -3x -3x +6x -2, if two of its zeroes are 2 and -. |
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Answer» 2x4- 3x3- 3x2+ 6x - 2 easy you know how to divide polynomials right?? ofcourse you know, you're X you mentioned two of its roots were√2 and -√2 hence the factors are (x -√2) and (x+√2) since x=√2 and x= -√2 if you multiply both you'll get x2- 2 when you divide2x4- 3x3- 3x2+ 6x - 2 byx2- 2 since it is divisible by2x4- 3x3- 3x2+ 6x - 2please like the solution 👍 ✔️ the quotient will turn out to be 2x2- 3x + 1 Now lets factorise this equation, =>2x2- 3x + 1=0 =>2x^2 -2x -1x + 1 =0 =>2x(x - 1) -1(x - 1)=0 =>(2x - 1)(x - 1)=0 therefore 2x - 1=0 or x-1=0 which implies x=1/2 or x=1 here you have it the remaining two roots Hope you get it |
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Example Find all the zeroes of 24 - 3x - 3x + 6x - 2, if you know that two ofits verols are and -2. |
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17. A solid cylinder has total surface area of 462 sq. cm. Its curved surface area isone - third of itstotal surface area. Find the volume of the' cylinder. (π-22/7)18. A hallow clinder e |
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rksheet 4e curved surface area and total surface area of a right circular cylinderreaellihose height is 15 cm and the radius of the base is 7 cm.Find thed its height is |
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eA metal pipe is 77 cm long. The inner diameter of a crosssection is 4 cm, the outer diameter being 4.4 cm(see Fig. 13.11). Find its(1) inner curved surface area,(ii) outer curved surface area,(iii) total surface area.Amatele |
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Answer» total area=Πr²h +2Πr total area= πr²h+2πr total area =πr²h +2πr |
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e volume of a cone, prove that 3rvhueeho.oIrh, c, v are respectively the height, the curved surface area and th |
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Answer» The curved surface area of a cone=C=πrl=πr√(h²+r²)where h, l and r are the height, slant height and radius of the cone.Volume of the cone=V=πr²h/3∴3πVh³-C²h²+9V²=3π{(πr²h)/3}h³-{πr√(h²+r²)}²h²+9(πr²h/3)²=π²r²h⁴-π²r²(h²+r²)h²+9π²r⁴h²/9=π²r²h⁴-π²r²h⁴-π²r⁴h²+π²r⁴h²=0 (Proved) please like the solution 👍 ✔️ |
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e inner diameter of a circular well is 3.5 m. It is 10 m deep. Findits inner curved surface area,)the cost of plastering this curved surface ai the rate ofR 40 per m |
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| 30. |
(iv)Complement of 43 is...ComoWrite any one axioms of Euclids.Sec- |
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Answer» 1). complement of 45 = 90 - 45 = 452). a= bq + r Things which are equal to the same thing are equal tooneanother.If equals are added to equals, the wholes are equal.If equals are subtracted from equals, the remainders are equal. complement of 45°=90°-45°=45° |
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Q 11 It is given that a-c-25 and a-b . Show that b-c-25 . write the Euclids axiom used that bestillustrate the statement Also give one more axiom other than the axiom used |
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Answer» according to euclids 3rd axiom,If equals be subtracted from equals, the remainders are equal.it is given that a=b and a-c=25.at the same time if b is subtracted from same c so a,b equals are subtracted from c .hence the remainders will be same.therefore b-c=25.First Axiom: Things which are equal to the same thing are also equal to one another. |
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| 32. |
andăźăŤObtain all other zeroes of 3xt + 6x3-2x2-10r-5, if two of its zeroes are |
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Answer» it is blur |
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| 33. |
Question numbers 13 to 22 carly harks eachQe8673 255 6THCF TAUsing Euclid's division algorithm find the HCF of the numbers 867 and 2559" |
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| 34. |
Obtain all the zeroes of 3x4+6x3-2x2-10x-5.If two of its zeroes are -1 & 1 |
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Answer» Quotient is x2+2x+1 Compare the equation withax2+ bx+ c= 0 We get a = 1 ,b=2 c= 1 To factorize the value we have to find two value which sum is equal to b= 2 product isa*c=1*1 = 1 1 and 1 are required values which sum is1 + 1= 2 product is1 * 1= 1 So we can write middle term2x= x+ x We get x2+ x + x + 1 =0 x (x +1) +1(x +1) = 0 ( x + 1)( x + 1)= 0 x+1 = 0 , x+1= 0 x= -1 , x= - 1 so our zeroes are - 1-1 , √(5/3) and- √(5/3) |
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Obtain all other zeroes of 3x4 + 6x3-2x2-10x-5, if two of its zeroes areand3" |
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| 36. |
andthespeedof theObtain all other zeroes of 3x 6x - 2x22x10x - 5, if two of its zeroes are and-10Xor |
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Answer» p(x)=3x4+6x3-2x2-10x-5 as we have given that two of its zeroes are root5/3 and -root5/3. so their factors are; (x-root5/3) and (x+root5/3). the product of the factors ; (x-root5/3) (x+root5/3)=x2-5/3 =3x2-5/3=1/3(3x2-5) where k=1/3 now g(x)=3x2-5 dividing p(x) by g(x) we get q(x)=x2+2x+1 by division algorithm; p(x)=g(x)*q(x)+r(x) =(3x2-5)(x2+2x+1) =(3x2-5)(x2+x+x+1) =(3x2-5)(x(x+1)+1(x+1) =(3x2-5)(x+1)(x+1) the other two zeroes are -1 and-1 |
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| 37. |
(ii) x2-3x+1, X3-4x+x2 + 3x + 1lulObtain all other zeroes of 3.4 +6r2 - 2x2 - 10x-5, if two of its zeroes are2 |
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| 38. |
Find the marked price of an article if the selingprice is 6936 and the discount is 4%. |
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Answer» i not understand this formula any more formula to get answer |
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| 39. |
A fraction becomes .if2 is added to both numerator and denominator If3 is added to both numerator and denominator it becomes 5 find the fraction |
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| 40. |
15. What number decreased by 14% becomes5 1 6?a. 500b. 800c. 600d. 720 |
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Answer» Let number be x x-(14/100)*x=516x - 14/100 *x =516,50x -7x /50 =516,43x/50 =516,x = 516 *50/43x=600 |
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| 41. |
Find the value of the polynomial 2x3 + 2x, when x =-1. |
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Answer» Given polynomial= 2x^3 + 2x For x = - 1 value of polynomial= 2(-1)^3 + 2(-1)= 2*-1 - 2= - 2 - 2= - 4 |
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| 42. |
75. Choose the correct mirror image of figure (X): |
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Answer» The mirror image is option 3 kyu hai option 3 deatil m btyo |
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| 43. |
12. Without actual dn, prove that the polynomial 2x3 + 4x2 + x-34 is exactly divisibleby (x-2) |
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Answer» Thanks for the answer |
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| 44. |
C. BedE. of these39.Replace the question mark (?) with the correct number.1536939288317A. 33C. 39E. of theseB. 37D. 41mirror image of the word given below. |
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Answer» 36+15=51=3×179+39=48=3×1628+83=111=3×37so missing number is 37. |
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| 45. |
(ii) Obtain all zeroes of the polynomial 2x3-4x-x2 + 2 if two of its zeroes2 and 2. |
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| 46. |
useeuclids diuisian cagorith snto |
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| 47. |
Question numbers 27 TO 34 luniIf - 1 is a zero of the polynomial 2x3 - x? - 5x - 2,find its other zeroes.of work in 5 |
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Answer» The other zeroes are 2 and -1/2.... -1 is one zeroesso x= -1x+1=0 is a factor2x^3-x^2-5x-22x^3+2x^2-3x^2-3x-2x-22x^2(x+1)-3x(x+1)-2(x+1)(x+1)(2x^2-3x-2)= polynomial2x^2-3x-2=02x^2-4x+x-2=02x(x-2)+1(x-2)=0(x-2)(2x+1)=0either x-2=0, x=22x+1=0, x= -1/22, -1/2& -1 are the zeroes -1 is zeroesso x+1 is a factor of 2x^3-x^2-5x-2x+1)2x^3-x^2-5x-2(2x^2-3x-2 2x^3+2x^2 -. --------------------------- -3x^2-5x-2 -3x^2-3x +. + ------------------- -2x-2 -2x-2 +. + ------------+(x+1)(2x^2-3x-2)= 2x^3-x^2-5x-22x^2-3x-2=02x^2-4x+x-2=02x(x-2)+1(x-2)=0(x-2)(2x+1)=0x-2=0, x=22x+1=0, 2x= -1, x= -1/22, -1,2 & -1 are the zeroes |
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| 48. |
3.The coefficient of x2 in the polynomial 2x3+ 4x2 + 3x+ 1 is(b) 3(d) 4(a) 2(c) 1 |
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Answer» The coefficient of x² is (d)4 |
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| 49. |
Divide:(a) xy- 3xy by y |
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Answer» x²y-3xy/y=x²y/y -3xy/y=x²-3x=x(x-3) |
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| 50. |
What should be added to x^2 + xy + y^2 to obtain 2x^2 + 3xy? |
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