InterviewSolution
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.
| 81201. |
Sanjay has a bag of potatoes weighing 14.456 kg, Vimal has a bag of rice weighing 14.678 kgSanjana has a bag of sugar weighing 14.1678 kg and Sudhir has a bag of mangoes weighing14.345 kg. Who have the heaviest and the lightest bag. |
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| 81202. |
240 [tan112-ta 10121-tanBi2 tan121.sequaltotan θ / 21 tan 0/211tan θQ.40|tan θ / 2sin θcos θIL-tan θ / 2]İs equal to1-cos®cos θ sinθcos θ-sin0|(B)l-sin θcos θ](C)cos θ](D) of thesesin θsin θ |
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| 81203. |
= 2 , then show that ta㎡θ +--20-2cot A+ cot2 2 sin A cos Atan θtan2 θton A |
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| 81204. |
In a twodigit number, the digit at the units place is equal to thesquare of the digit at tens place. If 18 is added to the number, thedigits get interchanged. Find the number. |
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Answer» Let tens place digit = nUnit place digit = 2n Number = 10*n + 2n = 12n If digits are interchanged then number becomes = 10*2n + n = 21n As per given condition12n + 18 = 21n9n = 18n = 18/9 = 2 Then number = 12n = 12*2 = 24 |
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| 81205. |
'A' alone completes –part of a work in20 days. The remaining work then completedby 'A'and 'B' working together in 3 days. Howlong would 'B' alone take to do two times theoriginal work? |
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Answer» sorry i didn't read question properly |
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| 81206. |
19. Let R be the relation on the set N of natural numbers defined byR = {(a,b): a + 3b = 12, aeN, beN }.Find: (i) R (ii) Domain of R (iii) Range of R. |
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| 81207. |
If [ f(x)dx= f (x), thenſ{f(x)}” dxis equal to |
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Answer» [f(X)]^2/2is the right answer. |
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| 81208. |
7. Find the amount o/7 8000 for 2 years compounded annually and the rates being 9% perannum during the first year and 10% per annum during the second year |
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| 81209. |
a45ส[Solve the differentialsin xdx -sinydy |
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| 81210. |
6. मूल्यांकित करें | 2 (0०0 (1 + x)dx.Evaluate [ x log (1 + x)dx. |
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Answer» Like if you find it useful |
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| 81211. |
3.How maiy sides does areguiar poyavei uionareHow many sides does a regular poiygon have if each of its interior angleis 165°? |
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Answer» 1) The interior and the exterior angles make a linear pair:add up to make 180°. 180° - 165° = 15° measure of one ext. angle 2) the sum of the exterior angles of any convex polygon is 360° 360°÷ 15° = 24 exterior angles 3) the number of exterior angles = the number of interior angles = the number of sides in any convex polygon 4) Therefor there are 24 sides in this regular polygon |
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| 81212. |
d ydxsinf(x) g(x) h(x)f(x) g'(x)dx |
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Answer» Please post questions in English language only |
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| 81213. |
how many sides in rectangle |
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Answer» There are 4 side in rectangle there are 4 sides in the rectangle |
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| 81214. |
how many sides in a cube |
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Answer» Ingeometry, acubeis athree-dimensionalsolid object bounded by sixsquarefaces,facetsor sides, with three meeting at eachvertex. |
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| 81215. |
speed of rowing in ĹĄlll wall2 women and 5 men can together finish an embroidery work in 4 days, while 3women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone tofinishthe work, and also that taken by 1 man alone.tr hy train and partly by bus. She takes4 |
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Answer» Let w and m represent women and men respectively 2W + 5M can do 1 work in 4 days 2W + 5M can do 1/4 work in 1 days Also, 3W + 6M can do 1 work in 3days 3W + 6M can do 1/3 work in 1day Then, equating work with men and women 2W + 5M =1/4.(i) Then, 3W + 6M=1/3-(ii) Or, 3(W + 2M)=1/3 Or,W + 2M =1/9-(iii) Then subtracting (i) from (ii) 3W + 6M=1/3 -2W - 5M =-1/4) W + M=1/3 -1/4 W + M= 1/12...............(iv) Also, Subtracting (iv) from (iii) W + 2M =1/9 -W - M=-1/12 M = 1/9 – 1/12 Or, M=1/36 So subsituting m=1/36 in equation (iv) W + 1/36 = 1/12 Or,W = 1/12 – 1/36 Hence, W=1/18 I men alone can do (1/36) work in 1 day 1 men alone can do 1 work in 36 days Also, 1 women alone can do (1/18) in 1 day 1 women alone can do 1 work in 18 days |
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| 81216. |
how many sides/vertex& edges in a cube |
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Answer» Cube has6 faces,12edges, and8 vertices. |
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| 81217. |
the orginal number!e is four times the digit at units place. If 54A number has two digits. The digit at tens place isis subtracted from the number, the digits are reI n The number obtained by interchanging thetver, the digits are reversed. Find the number. |
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Answer» Let the number be 10x + yx = 4y . . . . . (1)10x + y - 54 = 10y + x9x - 9y = 54x - y = 6Substitute from (1)4y - y = 6 3y = 6 y = 2 x = 4 × 2 = 8The number is 82 |
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| 81218. |
ра 포3.oooTa tl2 |
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Answer» GIVEN p= 3000, r = 6% and t = 1/2 years so, interest will be P*R*T/100 = (3000*6*1/2)/100 = 90rs. |
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| 81219. |
Psuou -thatCos TA (os A |
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| 81220. |
ierrossed t3500 from a bank at the rate of 141% per annum ior 21 year. Findbewwisted amount paid by him at the end of 23 years |
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Answer» Answer: 1653000 RS. Step-by-step explanation: So borrowed amount of 3800 rs at the rate of 14.5 % per annum or month he returns it after 2.5 years or 30 months . Thats equal to 30 annums So 30 months = 30 annums And rate = 14.5 x 30 = 435% Now he would return 435x3800 =1653000 rs RS 1377.50,₹5177.50 |
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| 81221. |
differential equation xdx+ydy=0 |
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Answer» x^2 +y^ 2 = c which is the equation of circle is the correct answer of the given question |
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| 81222. |
Solve the differential equation (x2 + |
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Answer» first you need to learn the basic then only you can solve this !! |
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| 81223. |
sx"cos* x dx |
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| 81224. |
. Solve the differential equation:- + y sec.r = tanr |
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| 81225. |
\frac{2 x^{2}+3 x+1}{3 x^{2}+4 x+1} \times \frac{4 x^{2}+5 x+1}{5 x^{2}+6 x+1} \times \frac{15 x^{2}+8 x+1}{8 x^{2}+6 x+1}= |
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| 81226. |
(The degree and order of differential equation |
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| 81227. |
polygon has 27 diagonals. How many sides does it have? |
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Answer» The formula for the no. of diagonals of a ’n' sided polygon is n(n-3)/2 . It works for triangle (0 diagonals) , quadrilateral (2 diagonals) , pentagon (5 diagonals) and for every another polygon. Let's come to the problem. No. Of diagonals = n(n-3)/2 = 27 n(n-3) = 54 n^2 - 3n -54 = 0 n^2 - 9n + 6n - 54 = 0 n(n-9) + 6(n-9) = 0 (n-9)(n+6) = 0 n = 9, -6 (excluding -6) n = 9 The polygon has 9 sides. It is a Nonagon. why there is single n and -6 excluded it has seven sides mean poly means seven |
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| 81228. |
seven times a two digit nues tlue number obtainedby eIf the di tlerence e Tue digits \ |
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| 81229. |
4 men & 12 boys can finish a piece of work in 5 days while 3 men & 4 boys can finish it in 7 days . find the time taken by 1 man alone or that by 1 boy alone (and:-x -35,y=70) |
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Answer» Theres an error in your question. |
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| 81230. |
A man and a boy complete a work together in 24 days. If for the last 6 day.man alone does the work then it is completed in 26 days. How long the boywill take to complete the work alone?(S.S.C. 2005(a) 72 days () 20 days(e) 24 days (d) 36 days |
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Answer» man and a boy can complete a work together in 24 dayswork done by a man and a boy in 1 day = 1/24 In the second case, a man and boy work together for 20 days.work completed = 20/24 = 10/12 = 5/6remaining work = 1/6 1/6 of the work is completed by 1 man in 6 daysor a man can complete the entire work in 36 days=> work done by a man in 1 day = 1/36 work done by a boy in 1 day = 1/24 - 1/36 = 1/72a boy alone can complete the work in 72 days |
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| 81231. |
INDICESExercise1. Simplify 32 |
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| 81232. |
A lending library has a fixed charge for the first three days and an additionfor each day thereafter. Saritha paid 227 for a book kept for seven days, wpaid 21 for the book she kept for five days. Find the fixed charge and tfor each extra day(v) |
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| 81233. |
ll- 1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers wetransferred to another fort and thus the food lasted now for 32 more days. How marsoldiers left the fort? |
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| 81234. |
. Ravi can do a piece of work in 15 hours while Raman can do it in 12 hours. How long willboth take to do it, working together? |
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| 81235. |
How many diagonals are there in decagon? |
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Answer» The number of diagonals in a polygon is n(n-3)/2. So a decagon has 10(10–3)/2 = 10*7/2 = 35 diagonals. |
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| 81236. |
9The solution of the differential equationxdy - ydx = (1x2 + y2)dx is |
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| 81237. |
Find the general solution of the differential equation y-y cos xdx |
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| 81238. |
How many diagonals are there in a decagon |
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Answer» Formula for calculating number of diagonals of any polygon of n sides = n*(n - 3)/2 So here it's a decagon ,that is a 10 sided polygon, So n = 10. Simply plug value of n into the formula , you get: 10*(10-3)/2 = 35. |
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| 81239. |
3.Verify whether the following are zeroes of the polynomial, indicated against them.4(iii) p(x) =r-1; x=1,-1(v) p(x)=x, x=0(vii)p(x)=3x2-1; x-(ii) p(x)=5x-m; x=(iv) p(x)=(r+1)(x-2); x=-1,2(vi) p(x) = lx + m; x=7m--1(viii) p(x)=2x+1; x= |
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| 81240. |
A wire made of silver in the form of nose ring ofradius 42 cm. It is bent in to a square. Determinethe side of the square. |
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Answer» 𝑺𝒊𝒅𝒆 = 66𝒄𝒎 𝑬𝒙𝒑𝒍𝒂𝒏𝒂𝒕𝒊𝒐𝒏:The circumference of the ring = 2πr = 2 × (22/7) × 42 = 22 × 12This will be equal to the perimeter of square 4a = 22 × 12 a = (22 × 12)/4 a = 66cm What is the side of the square |
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| 81241. |
04. men and 12 boys can complete a work in 10 days while 6 men and8 boys can complete it in 14 days. The time taken by one man aloneto complete the work is(1) 70 days (2) 140 days (3) 280 days (4) 210 days |
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Answer» Let the time taken by man be x daysLet time taken by boys be y days work done by 1 man in one day = 1/x work done by 1 boy in one day = 1/y 8/x+12/y = 1/10.........eq(1) 6/x+ 8/y = 1/14..........eq(2) Let u=1/x & v=1/y 8u + 12v = 1/10............eq(3) 6u + 8v = 1/14..............eq(4) Multiplying eq(3) by 2 & eq(4) by 3 16u + 24v = 2/10.........eq(5) 18u + 24v = 3/14.........eq(6) subtract eq(5) - eq(6) -2u = -3/14 + 2/10-2u = (-3×10 + 2×14)/140-2u = (-30 + 28)/140-2u = -2/140u = 1/140 put this value in eq(5) 16u + 24v = 2/1016×1/140 + 24v = 1/54/35 + 24v = 1/524v = 1/5 - 4/3524v = (1×7 - 4)/3524v = (7 - 4)/3524v = 3/35v = 3/35×24v = 1/280 Now, u = 1/x1/140 = 1/xx = 140 v = 1/y1/280 = 1/yy = 280 Therefore, A man complete the work in 140 days. A boy can complete the work in 280 days. |
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| 81242. |
. 8 men and 12 boys can complete a work in 10 days while 6 men and8 boys can complete it in 14 days. The time taken by one man aloneto complete the work is :(1) 70 days (2) 140 days (3) 280 days (4) 210 days |
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Answer» Let W be the workNo. of days taken by a man alone to complete the work be x days &no. of days taken by a boy alone to complete the work be y daysTherefore one days work by a man = W/xand one days work by a boy = W/y CASE 1one days work of 8 men and 12 boys = 8 W/x+12 W/yand ten days of work by 8 men and 12 boys = Wtherefore, 10 [8 W/x +12 W/y]=W80 W/x+120 W/y = w80/x + 120/y = 1............(1) CASE 2following the same steps according to the given condition we get the 2 n d equation as84/x+112/y = 1.............. (2) take 1/x =u and 1/y=v80 u+ 120 v=1...............(3)84 u+ 112 v=1...............(4) Multiply eq(3) by 21 and eq(4) by 201680 u+2520 v = 21........ (5)1680 u+2240 v = 20.........(6) solving we will get v = 1/280substituting value of v in (3)80 u +120 *1/280 =180 u= 1-3/780 u= 7-3/7 {l c m}80 u =4/7u= 4/7*80u= 1/140 when v = 1/2801/y=1/280therefore y = 280 when u = 1/1401/x = 1/140therefore x = 40 therefore no.of days taken by a man alone to complete the work = x days = 140 days &no. of days taken by a boy alone to complete the work = y days = 280 days (2) is correct option |
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| 81243. |
Exercise T0C1. 4 men can make 4 cupboards in 4 days; how many cupboards can 14 men make in 14 days? |
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Answer» 4 men in 4 day=4 cupboards14 men in 14 dayscupboards are=(14×14×4)/16=49 |
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| 81244. |
1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers weretransferred to another fort and thus the food lasted for an extra 32 days. How many soldiersleft the fort? |
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| 81245. |
1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers weretransferred to another fort and thus the food lasted now for 32 more days. How manysoldiers left the fort? |
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| 81246. |
(d) 16:9Iill, Ratio of times taken by A and B14:3s. A and B together can do a piece of work in 12 days: B and C can do it in 20 days whileC and A can do it in 15 days. A. B and C all working together can do It in(a) 6 days(b) 9 days(c) 10 dare |
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| 81247. |
12.The order of the differential equationdx(A) 2(B) 1 |
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Answer» The order of the differential equation is 2 because d²y/dx² exists. Please hit the like button |
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| 81248. |
dyFind the general solution of the differential equation 2ry 2 y |
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Answer» but we need to the general solution .and my question is different u had solved an another question |
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| 81249. |
18. What is the sum of the measures of the all estericeangles of a regular decagon(a) 180(c) 360(b) 270')450 |
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Answer» Answer:c)360°A decagon has 10 sides so its interior angles add up to 180(10) - 360 = 1440 degrees. Therefore, on average, each interior angle is 144 degrees and each exterior angle is 36 degrees. The sum of the exterior angles is 10 x 36 = 360 degrees. |
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| 81250. |
4) 75% ofA-25% of B and B= x%of A. The value of x is:(a) 180(c) 150(b) 75(d) 300 |
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