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.
| 72201. |
12. What must be added to the polynomial f(x) = x+ + 2x - 2x + x - 1 so that theresulting polynomial is exactly divisible by x² + 2x - 3? |
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| 72202. |
Identify all the quadrilaterals that havefour sides of equal length st(i) four right angles |
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| 72203. |
25. In an AP of 50 terms, the sum of first 10 terms is 210 and the sum of its last 15 terms is 2565.Find the A.P |
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| 72204. |
OMultiply |
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Answer» = (-5) * (-7) = 35. (-5)*(-7)=35 |
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| 72205. |
o numbers is 4 and theof the four number is,11. There are four unknown numbers. The mean of the first two numbersof the first three is 9. The mean of all four number is 15, if one of the fourthe other numbers. |
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Answer» 4th no is not understandable average of first 3 =15 sum of 1st 3 no. = 3×15=45& also last 3 no. =16sum of last 3 =16×3=48in it last no is 19 so middle two =48-19=29so 29 minus from first 3so 1st no =45 -291st no. =16 so let 2nd no be x and 3rd be 29 -x so according to the 1st conditions 16 +x+29 -x =45 x + 29 - x = 29 let x be 15 so 3rd no be 14 16,15,14 is the right answer we yg xhohuf8v ng tu de ov 4th number is not understandable |
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| 72206. |
(X+2)(x+3)+(x-3)(x-2)-2x(x+1)=0 |
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| 72207. |
1. Multiply : |
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Answer» 5/6*2/75/3*1/75/21 |
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| 72208. |
1. Multiply: |
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Answer» Multiply=-2/5*15/8=-30/40=-3/4 |
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| 72209. |
irst 25 terms in an A.P is 525.Andthesumofnen217. The suterms of the same A.Ris 725. What is thee A.is 725. What is the common difference |
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Answer» sum of first 25 terms of an A.P is 525we know that s(25)=n/2(2a+(n-1)d)=25/2(2a+24d)=525-(1)sum of next 25 terms of an A.P is 725,so that total number of terms is 50so that it can be written as 50/2(2a+49d)=(725+525)-(2)1 can be written as 2a+24d=42-(3)2 can be written as 2a+49d=5o-(4)so that 3&4 is solved,we get 25d=8=>d=8/25common difference is 8/25. |
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| 72210. |
ll e Sull 8f fÄąrst p terms of AP is ap bp find the common difference.If the sum of first m terms of an AP is 2m2+3m, then what is its second term |
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| 72211. |
0) Theanglesof a quadrilateral are in AP, whose commondifference is 10째. Find the angles.It the numbers n 2,4n - I and 5n + 2 are in AP, thenfind the value of n. e1) |
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| 72212. |
*Q. 2. Explain any two definitions ofeconomic development. |
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Answer» Economic development is the process by which a nation improves the economic, political, and social well-being of its people. The term has been used frequently by economists, politicians, and others in the 20th and 21st centuries. Progress in an economy or the qualitative measure of this. Economic development usually refers to the adoption of new technologies, transition from agriculture based to industry based economy and general improvement in living standards. |
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| 72213. |
5a^2x^2-(3a^2- 5b^2)x - 3b^2=0 |
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| 72214. |
A = \left[ \begin{array} { c c } { 3 } & { 1 } \\ { - 1 } & { 2 } \end{array} \right] , \text { verify that } A ^ { 2 } - 5 A + 7 | = 0 |
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Answer» plz keep options plz keep options plz keep options A^2=A*A=9-1 3+2 = 8 5 -3-2 -1+4 -5 3A^2-5A+7I=8-15+7 5-5+0 =0 0 -5+5+0 3-10+7 0 0Hence Proved. |
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| 72215. |
Verify whether -2, 1 are the zeroes of the cubic polynomial, P(x)-2x'+x-5x +2, alsoverify the relationship between the zeroes and the co-efficients. |
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Answer» thank you |
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| 72216. |
21b-32+7b-20b |
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Answer» b=4 21b+7b-20b-32=08b=32b=32/8=4 |
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| 72217. |
Factorise1. x2+ 6x +83. a2+5a +65. a2 +5a-67. аг-за-409. x2-10xy +24y211. 3a2-5a + 22. x2+4. a2-8. x210.2a212. 7b22x22a2- 17ab + 26b2 14.13.7 FACTORISING A P |
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Answer» 2a² ⁻17ab +26b²=2a²-13ab-4ab+26b²=a(2a-13b)-2b(2a-13b)=(2a-13b)(a-2b) (x+3a)a |
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| 72218. |
16) Multiply: 4a2by (3a+7b) |
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Answer» 4a² × ( 3a + 7b) 4a² × 3a + 4a² × 7b 12a³ + 28a²b |
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| 72219. |
6. In the adjoining figure. ABC is a triangle in which AD is the bisector of2A. IfADBC, show that △ABC is isosceles.8 |
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| 72220. |
T,. A joker's cap is in the form of a right circular cone of base radius 7 cm and height,24 cm. Find the area of the sheet required to make 10 such caps. _irt nf the rnad hy using 50 hollovw |
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| 72221. |
(A) 135225,(B) I 9638 |
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| 72222. |
Q8. What do you mean by list in HTML? |
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Answer» A definition list is a list of terms and corresponding definitions. Definition lists are typically formatted with the term on the left with the definition following on the right or on the next line. The definition text is typically indented with respect to the term.There are three list types in HTML: 1)unordered list — used to group a set of related items in no particular order.2)ordered list — used to group a set of related items in a specific order.3)description list — used to display name/value pairs such as terms and definitions. |
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| 72223. |
If(a,I).(b,ę¸) (c,c)&(d1)are four distinct poins If aa- are four distinct points on a circle of radius 4 units, then abcd isequal to(A) 4(B) 16(C) 1(D) 2 |
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Answer» thanks bro |
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| 72224. |
4.d the seventh term (a,) is 4, themIn an AR if thfind the first term.e common difference (d)-4 an |
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| 72225. |
EXERCISE 5AX The units digt of a two-digit number is 3 and seven times the sum of the digits is thenumber itself. Find the number. |
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Answer» since the no. is a 2 digit no. let, the no. be x 3meaning tens digit =x and ones digit =3therefore no. =10x+3but according to the question 7(x+3)=10x+3=7x+21=10x+3=21-3=10x-7x=18=3x=6=xtherefore no. = 10*6+3=63 |
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| 72226. |
13 2473. If A = 2 1 1], verify that (5A)' = 5A'.(1 3 5 |
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| 72227. |
(2/5a+1/7b) (3a+4b-2) |
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| 72228. |
If a =1/a-15, find (i) a-1/a(ii) a +1/ a(iii) a²-1/a²Hint.a=-->1/a-5= a2-5a-1=0. |
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Answer» a=1/a-51/a=a-5a-5+5=1/a +5(add 5 to both sides)a=1/a+5a-1/a=5a^2-1/a=5a^2-1=5a(a+b)(a-b)(a+1)(a-1)=5a(a-1)=5a/a+1divide whole equation by aa-1/a=5a^2/a+1 anda+1/a=5a^2/a-1 |
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| 72229. |
For the matrix A=112-32 -1 3Show that A3-6A2+ 5A + 1 1 1 = O. Hence, find A. |
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| 72230. |
irt1, 3x = 2r +182.51-3=3r-5 |
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Answer» 3x = 2x + 153x -2x = 15x = 15 |
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| 72231. |
ABC+-6, B = 6xy - 2r +1 and C = 3r +7-3ry, find(1) A-B+C1122 |
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| 72232. |
27. If a regular hexagon is inscribed in a circleof radius r, then its perimeter is(a) 3r(c) 9r(b) 6r(d) 12r |
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Answer» As we know that length of each side of a hexagon will be rso the perimeter will be6*r = 6rso Option b is right |
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| 72233. |
135 and 225 |
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| 72234. |
Sapmit was standing at the railway crossing when a train crossed him at a speed of 4b kmlb in15 seconds, find the length of the train. |
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Answer» speed = 40 km/hr = 40×5/18 = 11.11 m/s & time = 15 seconds speed = distance/time11.11 = distance/15distance = 11.11×15 = 166.65m so the distance covered by it is 166.65m. |
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| 72235. |
(b)Find the I6th term of the AP.7 IL 15, 19 -Find the sum of the first 6 terms. |
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| 72236. |
=-SinQ8) integration w.r.t.xf cos-xdx |
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Answer» cos(2x) = cos^2(x) - sin^2(x). We also know the trig identity sin^2(x) + cos^2(x) = 1, so combining these we get the equation cos(2x) = 2cos^2(x) -1. Now we can rearrange this to give: cos^2(x) = (1+cos(2x))/2. This eventually gives us an answer of x/2 + sin(2x)/4 +c |
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| 72237. |
in how many of the distinct permutation of letters in MISSISSIPPI do the four I's not come together |
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| 72238. |
30. In how many of distinct permutations of the letters in the word MISSISSIPPI do the 4 I's not come together ?31. Find (a |
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Answer» MISSISSIPPI total arrangement 11!/(4!×4!×2!) = (11×9×8×7×6×5×4!)/(4!×4×3×2×1×2×1) = 11×3×7×3×5 = 3465 total ways of 4I together = 8!/(4!×2!) = (8×7×6×5×4!)/(4!×2) = 4×7×6×5 = 840 so total ways of all 4I are not together 3465-840 = 2625 |
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| 72239. |
rheratioofnumberof girls and boys in a school of 500 students is 3:2. How many moboys should be admitted to make the ratio 1:1? |
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Answer» according to which formula you find that 100 boys will admitted girls is 300 and boy is 200..for boys and girls to be equal..boys should be admitted 100 |
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| 72240. |
UL, 98, 40, 42, 52, 60l Inรถde of this data.rhe following observations have been arranged inthe data is 63, find the value of x.ascending ordet. If the median ofhe94 Find the mode of 14,25, 14,28,18, 17, 18. 14.23 2 |
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| 72241. |
.14x+8-0 is z.·↑ r ndth eva ue orktor the quadratic equation kr工or which one reORFind the value(s) of k for which the equation x) + 5kr + 16 = 0 has real and equal roots. |
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| 72242. |
EXERCISE 5A1. The units digit of a two-digit number is 3 and seven times the sum of the dots is thenumber itself. Find the numberplan is double the dirt in the tens place. The number |
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| 72243. |
1 3R |
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Answer» 10,00,0001,00,00,00010,00,00,0001,00,00,00,000 |
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| 72244. |
(A) 0.5 mmTwo soap bubble of radius 2r and 3r are in contact with each other. The radius of curvature of the interfacebetween the bubble is:(A) 2r(B) r(C) 3rhubble of radius 2R as shown Take surface |
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Answer» Radius of curvature of common surface is r¹*r²/r²-r¹= 2r*3r/3r-2r=6r |
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| 72245. |
कर बा नरक मम कलहि . M e2. दिये गये चित्र में 4801) एक समलम्ब चतुर्भुज है जिसमें...8 || 00 यदि AAED ~ ABEC हो तब सिद्ध करोAD =BCns. AEDC 3R AEBA #£1 = /2 3R L3 = L4 (एकान्तर कोण)8 समरूपता से |
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| 72246. |
3r+2 0 |
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Answer» x= -2/3 |
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| 72247. |
135 3R 225 |
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| 72248. |
car travels a distance of 550 km in 5 hours. What distance will the car cover in 9 hiHow many hours are needed to travel a distance of 2750 kms?8. At of 12 such mangoes? |
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| 72249. |
If the 2nd term of a new AP is 8 and the 5th term is 17 ,find its 19 th term. |
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Answer» Let AP first term is a and common difference be d a(2) = 8a + d = 8 ..... (1) a(5) = 17a + 4d = 17 ......(2) eq(2) - eq(1) 3d = 9d = 3 So, a = 8 - 3 = 5 Therefore, a(19) = a + 18d = 5 + 18 × 3 = 5+54 = 59 Please like my solution if you find it useful. |
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| 72250. |
Q7. The cost of 20 melesQ8. A car travels a distance of 550 km in 5 hours. What distance will the car cover inghOuTHow many hours are needed to travel a distance of 2750 kms? |
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Answer» Distance in 5 hours=550 kmDistance in 1 hour=550/5=110 kmDistance in 9 hours=550*9=4950 km 550km in 5 hours1 km in 5/5502750 km=5*2750/550=25 hours |
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