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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 67201. |
EXERCISE 8.4l. The sum of two numbers is 70. Their difference is 16. Find the numbs |
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| 67202. |
4. Find th derivative ofax? + a2 |
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| 67203. |
Determine the first term and the commön ratio ofthe geometric progression, the sum of whose fineand third terms is 40 and the second and fourthterm is 80(A) 8, 3(C) 7, 3(B) 8, 2(D) 7,2 |
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| 67204. |
A positive number is 5 times another number.if 21 is added to both the numbers,then one of the new numbers becomes twice the other new number.what are the numbers? |
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| 67205. |
A sheet and the name of each element and their sMATHEMATICSsing Euclid's division algorithm find the largest number that di577 and 15628 leaving remainders 1. 2 & 3 respectivelya seminar, the number of participants in Hindi. English and Mathem60, 84 and 108. respectively. Find the minimum number OLIuired if in each room the same number of participants are to beall of them being on the same subject.the quadratic polynomial whose zeroes arees are 3-13 and 3+ V3andand B are the zeroes of the quadratic polynomial f(x) = x -3xquadratic polynomial whose zeroes are 2 and 20+the zeroes of the polynomial 2x'- 9X+5x + 3x - 1 if two3 and 2-13Llynomial -6x' +8x' +17% +21x+7 is divided by anothethe remainder comes out to be ax + b, find a and b. |
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| 67206. |
numbers, what will be the new meall!10. The mean of 15 numbers is 27. If each number is multiplied by 4, whatwill be the mean of the new numbers?10 If nrh number is divided by 8, what will |
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| 67207. |
68and108respectively.In a proportion, the 1st, 2nd and 4th terms are 51,3rd term. |
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| 67208. |
Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12: 23, findthe numbers. |
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Answer» 3k=3000 is that right if not then what does 3k means |
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| 67209. |
i) For any integer a, what is (-1)xa equal to?) Determine the integer whose product with (-1)i(a)-22b) 37 |
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| 67210. |
) If the 5th term of G.P. is 81 and the 2nd term is 24, find th |
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Answer» Question you have submitted is incomplete. Please post a complete question. The fifth term of a g.p. is 81 ---> ar^4 = 81second term is 24 -----> ar = 24 divide them:(ar^4)/(ar) = 81/24r^3 = 27/8r = 3/2 then in ar=24(3/2)a = 24a = 16 the GP is16, 24, 36, 54, 81, ... |
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| 67211. |
22. A bought a car for R 100000 and spent 10000 onits repairs. He sold this car to B at a gain of 10%who later on sold it to C at a gain of 5% . What didC pay for the car? |
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Answer» CP of car = 100000 + 10000 = 110000Cost price for B = 110000(1 + 10/100) = 110000(11/10) = 121000Cost price for C = 121000(1+5/100) = 121000(21/20) = 127050 Thus C pay Rs 127050 for car |
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| 67212. |
ANS. KUIUId) Find the 6th term of Geometric progression 4, 8,16. |
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| 67213. |
The simple interest on some principal at some rate for 3 years is 525. At thesame rate, the compound interest on 1600 for 2 years is? 164. What is theprincipal?(1) R 4500 (2) 3500 (3) 3000 (4) 4000 |
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| 67214. |
4)X=3+2 JE, check atis rationalis rational es irrationeratáor |
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| 67215. |
find the 5th term from the end of the geometric progression 243,81,27,9........1/729 |
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Answer» = 81/729 = 1/9 |
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| 67216. |
if the 2nd,3rdand4th terms is expansion of(a+x)`n are respectively 240,720,1080,find a,x,n |
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| 67217. |
If the 2nd term of an arithmetic progression is 8 and 5th term is 17 .Find its 19term. |
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Answer» 2nd term = a+d= 8-(1)5th term = a+4d= 17--(2)equal(1)-eq(2)-3d= -9d= 3 then a= 8-3= 519th term = a+18d5+19(3)57+5= 62 |
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| 67218. |
131Find the number of terms of a geometric progression tan f 3,a96 and S-189. |
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Answer» If you find the solution helpful, Please give it a 👍 |
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| 67219. |
In a proposition, the 1st, 2nd and 4th terms are 51,68and 108 respectively find the 3rd term |
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| 67220. |
ie tumberS.The sum of three consecutive numbers in a G.P is 56. If we subtract 1, 7, 21 respectivelyfrom these numbers, the new numbers form an A.P Find the numbers.6 The sum of three conseciutiro |
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| 67221. |
Determine the integer whose product with (-1) is? -: i) -32 |
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Answer» 32 |
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| 67222. |
0.4.Find the integer whose product with -2 is -50. |
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| 67223. |
6x/4+2/3=4x/18-5/6 |
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| 67224. |
1. A bookseller bought a book for R 15 and spent R 5 on its binding. He then sold it for 24. Find his prpercentage. |
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Answer» Total CP= 15+5= Rs 20SP= Rs 24profit= SP-CP=Rs 5profit % = 5/20 × 100=25% |
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| 67225. |
Roopal bought a car for R 3,50,000 and spent R 4000 on its repair. She sold itto Payal at a gain of 25% who further sold it to Kunal at a loss of 7%. Find theamount paid by Kunal to buy the car5. |
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| 67226. |
3,750 and spent? 250 on its repairs.Sonu bought a bicycle forHe sold it for R 4,400. Find his loss or profit percentage.1. |
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| 67227. |
Exercise 9.2Sonu bought a bicycle for R 3,750 and spent 250 on its repairs.He sold it for 4,400. Find his loss or profit percentage. |
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| 67228. |
42. If the sum of the first n terms of an A.P.is4-, what is the first term vr(sum of first two terms? What is the second term? Similarly, find thesum of tirstand the nth terms.The Guck and the last term of an A. P. are 17 and 350 resngctin |
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Answer» i am not Satisfied u just had to substitute n in the previous case..anyways I have done again in the simple form thank u very much kaha rehte h aap |
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| 67229. |
es Rational the denominator :carstva |
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| 67230. |
If the first and the nth term of a G.P. are a and b, respectively, and if P isproduct of n terms, prove that P2 = (ab)".term of a G.P are a and b, respectively, and if P is |
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| 67231. |
5) The sum of an infinite geometricprogression is 15 and the sum of the squaresof these terms is 45. Find the G.P |
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| 67232. |
-llylfthesumofthefirstnterms ofanAPis4n_ăĄ,whatisthefirstterm(that isswhatis the sum of first two terms? What is the second term? Similarly, find the 3rd the J0sh andthe nth terms |
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Answer» THANK YOU |
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| 67233. |
maximum numberofmangoes!A geometric series consists of even numbethe sum of odd terms. Find the common ra |
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Answer» if even numbers are in geometric series then the common ratio is 2. even nos. in Geometric series2,4,6,.....2nr= 2 |
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| 67234. |
Find that infinite Geometric series in whichsum of first two terms is 5 and the first termis three times the sum of all the successiveterms |
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| 67235. |
The sum of three consecutive numbers in A.P. is 27 and their product is 585. Finnumbers.1. |
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Answer» thhhhhxxxxx |
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| 67236. |
If the sum of first n terms of an A.P. is 4n -n2What is the first term ? What is the sum of firsttwo terms ? Also find 2nd, 3rd, 10th and nth termsof A.P.)4 |
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| 67237. |
Find the sum of first n terms and the sum of first 5 terms of the geometric series 1+2 |
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| 67238. |
12- Find the sum of first n terms and the sum of first 5 terms of the geometric series 1+.....レ2 43. 9 |
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| 67239. |
The group of integers, whose product is - 42. is |
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| 67240. |
Findthesumofthefirst20termsofthegeometric series \frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\dots |
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| 67241. |
ट्व1 ४-|+हा | वX~|\DL &L€5 |
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| 67242. |
2. Monu bought a car fort 1,75,000 and spent R 15,000 on its repairs. He sold it for 2.50.000.Findhind hi |
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Answer» Total Cost of car is 1,90,000 and Selling price is 2,50,000. so the total profit is 60,000.Now percent profit is (60,000/250000)×100= 24% rong answer |
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| 67243. |
10L-5show the mattintIt 2 des Gymmetrie,5,3 |
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Answer» since the transpose of this matrix is the matrix itself therefore matrix is symmetric |
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| 67244. |
2A, The ratio of the sums of first m and first n terms of an A.P. is m2 2. Show that thesratio ofmth and nth terms is (em : (2n1) |
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Answer» Sum of m terms of an A.P. = m/2 [2a + (m -1)d]Sum of n terms of an A.P. = n/2 [2a + (n -1)d] m/2 [2a + (m -1)d] / n/2 [2a + (n -1)d] = m:n ⇒ [2a + md - d] / [2a + nd - d] = m/n⇒ 2an + mnd - nd = 2am + mnd - md⇒ 2an - 2am = nd - md⇒ 2a (n -m) = d(n - m)⇒ 2a = d Ratio of m th term to nth term:[a + (m - 1)d] / [a + (n - 1)d]= [a + (m - 1)2a] / [a + (n - 1)2a]= a [1 + 2m - 2] / a[1 + 2n -2]= (2m - 1) / (2n -1) So, the ratio of mth term and the nth term of the arithmetic series is (2m - 1):(2n -1). |
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| 67245. |
The sum of infinite terms of a geometric seriesis 4 and the sum of their cubes is 192. Findthe series. |
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| 67246. |
If the sum of an infinite geometric series is 15 and the sum of the squares of these terms is 45,find the series. |
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Answer» thank you |
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| 67247. |
8.The sum of the first two terms of an infinite geometric series is 15 and each term is equal tothe sum of all the terms following it. Find the series. |
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| 67248. |
4. Geometric series hen eaclhsuccessive number in the series isobtained by multiplying or dividing theprevious number by a fixed number.Example 5, 45, 405, 3645 |
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Answer» Thr number is multiplied by 9. 3645*9 = 32805 |
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| 67249. |
Write the integers from -3 to +3. |
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Answer» -2, -1, 0, 1 ,2 are the integers between -3 and 3 |
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| 67250. |
1. () Write down the three consecutive numbers succeeding 70259. |
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Answer» 70260,70261,70262 are the three consecutive no. succeeding 70259 |
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