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. |
In figure 5.38, points X, Y, Z are the midpointsAB, side BC and side AC of \Delta ABCAB = 5 cm, AC = 9 cm andBC = 11 cm. Find the length of XY, YZ, XZ. |
|
Answer» AB = 5CM , AC = 9CM , BC = 11CMIF points X,Y,Z are the midpoints of side AB, side BC and side AC of ΔABC.then,AX = BX = 5/2 = 2.5CM BY = CY = 11/2 = 5.5 CMAZ = CZ = 9/2 = 4.5 CMFrom the property, we can say that XY is parallel to AC. Similarly, YZ is parallel to AB and XZ is parallel to BC.then ,BY = XZ = 5.5CMYZ = XB = 2.5CMXY = CZ = 4.5CM Hence , (XY, YZ, XZ.) = ( 4.5cm , 2.5cm , 5.5cm) |
|
| 2. |
4.Shikha larns $ 1500 for working in 16 days.How much will she larm if she works for30 days? |
|
Answer» She earns 7500 in 16 daysso in one day she will earn 7500/16nowin 30days = 7500*16/30750*16/3 4000 |
|
| 3. |
outtohe eigit at the ones place of the product 25 x 16 x 7 without workingthe problem. |
|
Answer» lets take unit digit of each number so they are 5,6,7 so multiplication of it 5*6*7=210 so 0 will be at unit place in 25^2*16^3*7^2 |
|
| 4. |
Ram cam finish a work in 16 days and the same work finished by shyam in 8 days if how many both of them will finish the work while working together |
| Answer» | |
| 5. |
72°+36°+v°=180° |
|
Answer» 72 +36+v =180 v =72 72°+36°+v°=180°108°+v°. =180° v°=180°-108° v°=72° |
|
| 6. |
Each side of a square is 9 cm. Find its:(i) perimeter(i) area. |
| Answer» | |
| 7. |
The length of the sides of a triangle are 9 cm, 12 cm and 15 cm. Find the length ofaltitude corresponding to the shortest side. |
| Answer» | |
| 8. |
(v)(4x + 1)² + (2x+3)4r? +12x+96136 |
|
Answer» using a_square+2ab+b_square |
|
| 9. |
( v ) x ^ { 2 } - 4 x - 192 \quad ( v i ) x ^ { 4 } - 5 x ^ { 2 } + 4 \quad ( v i 1 ) x ^ { 4 } - 13 x y ^ { 2 } + 36 y |
| Answer» | |
| 10. |
find the V8-36 |
|
Answer» √8.356/√2.635 = 1.8796787... this question is solve logarthoms mathod y = √8.356/√2.635 logy = log(√8356/2635) = 1/2*[log(8356)-log(2635)] = 1/2*(3.92-3.42) = 1/2*(0.5) = 0.25so, y = 10^0.25 = 1.7782 approximate Value.. is this, you can follow the steps on your own |
|
| 11. |
(i) dy+ (3x +cot x) dx = 0 |
| Answer» | |
| 12. |
A metallio sphere of diameter 1 cm is to be melted and recasted into a hollowthickness 1 mm Find the internal and extemal radi of the sphere |
|
Answer» DIAMETER OF METALLIC SPHERE = OUTER DIAMETER OF HOLLOW SPHERE = 1 cm THEREFORE OUTER RADII = 0.5 cm = 5mm THICKNESS = 1mm THEREFORE INNER RADII = OUTER RADII - THICKNESS = 5 mm - 1mm = 4mm |
|
| 13. |
1. In a college of 300 students, every student reads5 newspapers and every newspaper is read by.60 students. The number of newspapers is(a) atleast 30(b) atmost 20(c) exactly 25(d) of these |
|
Answer» Total no. of students= 300.Let total no. of news papers = n.Given every student reads 5 news papers and every newspaper is read by 60 students.Total no. of newspaper reading by every student = 300*5 = 1500 .Total no. of newspaper reading which each paper will get = 60*n .which implies that, 60*n = 300 *5 => 60 *n =1500=> n = 25 Total no. of newspapers is 25 (c) is correct option Ans =total no.of newspapers is 25 correct ans is option (c) |
|
| 14. |
(9.2 (जाए 8 + 0०56८8)% न (८०59 के 5600)% न एक धाए6 ने ८०9) |
| Answer» | |
| 15. |
b) In a school of 300 students, every student reads 5 newspapers and every newspaper isread by 60 students. Find the number of news papers. |
|
Answer» Given newspaper read by 1 student = 5 so total newspaper read by 300 students = 300X 5 = 1500 Single newspaper is read by 60 studentso total different newspaper read = 1500/60= 25 |
|
| 16. |
log x- 1 72[1 + (log x)2]t a2 |
| Answer» | |
| 17. |
1. Suppose ABCD is rectangle. Using RHS theorem,provetriangles ABC and ADC are congruent.? Sunn |
|
Answer» tanks sir |
|
| 18. |
” dy .= “"fnnddx--—'+(sinx) oL |
|
Answer» y= x^sinx + (sinx)^cosxlet x^sinx = u and (sinx)^cosx= vdy/dx = du/dx + dv/dxu= x^sinx+++Taking log on both sideslog u = log(x^sinx) = sinx log xDifferntiating both sides1/u du/dx= cosx logx + sinx/x (product rule)du/dx= u {cosxlogx+sinx/x}du/dx= x^sinx(cosxlogx+sinx/x) Now, v = (sinx)^cosxTaking log on both sideslog v = log {(sinx)^cosx} = cosxlog sinxDifferentiating1/v. dv/dx = (-sinx)log sinx+ cos x (cos x/ sin x)dv/dx = v { cos x cot x - sinx log sinx}dv/dx = (sinx)^cos x (cos x cot x - sinx log sinx)=> dy/dx = {x^sinx(cosxlogx+sinx/x)} + {(sinx)^cosx (cosx cot x -sinxlogsinx)}Therefore, dy/dx = x^sinx (cosxlog x + sinx/x) + sinx^cosx (cosx cotx - sinx log sinx) |
|
| 19. |
In what time will rs 5600 amount to RS 6720 at 8% p.a. |
| Answer» | |
| 20. |
Suppose you are given a circle. Give aconstruction to find its centre. |
| Answer» | |
| 21. |
Suppose you are given a circle. Give a construction to find its |
|
Answer» thanks |
|
| 22. |
Calculate dy/dxif y=x⁴+sinx |
| Answer» | |
| 23. |
if y = f(sinX) then dy/dx = |
|
Answer» y = f(sinx) dy/dx = f'(sinx)*cosx |
|
| 24. |
If y =sinx^3dy/dx will be: |
|
Answer» y=sin^3xdy/dx=3sin^2x [d (sinx)/dx]dy/dx=3sin^2xcosx |
|
| 25. |
dy3xtan xIf yx2 sinx +thenwill be |
| Answer» | |
| 26. |
1. If y logx, finddydx |
| Answer» | |
| 27. |
Suppose you are given a circle. Give a construction to find its centre. |
| Answer» | |
| 28. |
2. Suppose you are given a circle. Give a construction to find its centre |
|
Answer» Ans :- Steps: Draw a line across thecircleto make a "chord" Construct the perpendicular bisector of that chord to make a diameter of thecircle. Construct the perpendicular bisector of that diameter togetthecenterof thecircle. |
|
| 29. |
3500 (3༯202 |
|
Answer» (3x+5y)(3x+2y)=9x^2+6xy+15xy+10y^29x^2+21xy+10y^2 |
|
| 30. |
1. Find the length of the hypotenuse of a right triangle, the other two sides of which measure9 cm and 12 cm. |
| Answer» | |
| 31. |
EXERCISE 15D1. Find the length of the hypotenuse of a right triangle, the other two sides of which measure9 cm and 12 cm. |
|
Answer» length of the hypotenuse is 15 |
|
| 32. |
? % of 5600-28% of 3500=1988 |
|
Answer» May i know why it has been marked as spam? |
|
| 33. |
f (2y22xy, find dydx |
| Answer» | |
| 34. |
If y = ex" then finddydx |
|
Answer» y = (e^x)^xTaking log on both sides, log y = x*log(e^x)Differentiating both sides with respect to x,(1/y)(dy/dx) = {x/(e^x)}*(e^x) + log(e^x)=> dy/dx = xy + y*log(e^x) |
|
| 35. |
Find dy/dx if y = Sin x |
|
Answer» dy/dx (sinx)= cosxthanks cos X is the correct answer y=sinxdy/dx=d/dx(sinx) =cosx dy/dx=cosx is the right answer Y=sinced(y)/dx=d(sinx)/dx=cosx Answer dy/dx= cos x is the answer dy/de(since)=coaxanswer. |
|
| 36. |
y= logx/1+sinx find dy/dx |
|
Answer» Please hit the like button if this helped you |
|
| 37. |
dc1,2x+3y = sin x |
| Answer» | |
| 38. |
а82-a²82 taz-a (s² + a2) |
|
Answer» 2a³/(s²+a²)² is the correct answer of the given question |
|
| 39. |
dyFind in the following:dlx1, 2x + 3y sin x4, xy + y2 tan x + y |
|
Answer» Given - 2x+3y = sinx Differentiating both sides with respect to x , we get d/dx ( 2x+3y) = d/dx (sinx) 2.d/dx(x) + x.d/dx(2) + 3.d/dx(y) + y.d/dx(3) = cosx . d/dx(x) [ using product rule ] 2(1) + x(0) + 3.(dy/dx) + y(0) = cosx (1) 2 + 3(dy/dx) = cos x dy/dx = ( cosx - 2) / 3 thank you |
|
| 40. |
Given HCF(396, 82) = 2, find LCM(396, 82). |
|
Answer» If you find this solution helpful, Please give it a 👍 |
|
| 41. |
ŕ¤ŕ¤żg.14. 82 : R Gbk S ?1) 63 2) 12 3) 821) 32 |
|
Answer» Let 82:72::72:x=>82x=72×72=>x=63 Option 1 is correct. I cannot understand Let the missing number here(?) be x. When 4 numbers are in continued proportion,a:b::c:d=>ad=bc |
|
| 42. |
\cos \theta \left[ \begin{array}{cc}{\cos \theta} & {\sin \theta} \\ {-\sin \theta} & {\cos \theta}\end{array}\right]+\sin \theta \left[ \begin{array}{cc}{\sin \theta} & {-c_{0}} \\ {\cos \theta} & {\text { si }}\end{array}\right. |
| Answer» | |
| 43. |
$ 9 x+3 y+12=0 $$ 18 x+6 y+24=0 $ |
| Answer» | |
| 44. |
2. Suppose you are given a circle. Give a construction to find its ce |
| Answer» | |
| 45. |
2.IP. |
| Answer» | |
| 46. |
Write the missing numbers.3 +0 = 37 + 6=+1+ 14 =0+ 18 =18+40 |
|
Answer» ans 3+0=3 1+14=15 7+6=6+7 0+18=18+0 3+0=3 1+14=15 7+6=6+7 0+18=18+0 3+0=31+14=157+6=6+70+18=18+0 3+0=31+14=157+6=6+70+18=18+0 |
|
| 47. |
Fill in the blanks in the following table, given that a is the first term, d the commondifference and a, the nth term of the AP:(I120)1810018(iv) 18.92.53.6105(v)3.5 |
| Answer» | |
| 48. |
K. If the cost price of 9 pens is equal to the selling price of 11pens, the loss percentage is(A) 18%(B)187%10(0)18 %(D) of these- |
|
Answer» 18 2/11 18×2÷11 is the correct answer 18×2÷11 is right answer of that question |
|
| 49. |
8. Find the zeroes of the quadratic polynomial and verify the relationship between the zeroesand the coefficients 6x-3-7x.t 3v-6 2 x _ 3v : 1 2 İs consistent, if so, solve them |
| Answer» | |
| 50. |
9 = {pâŹIp-017. Rhombus |
|
Answer» Given:d1=10; d2=6 Area of Rhombus= (d1 ×d2)/2=(10×6)/2=60/2=30 sq units area of rhombus is half the product of diagnols=1/2×(d1 × d2)=1/2×10×6=60/2 =30 sq units it is given, lenght of diagonals is 10 and 6 area=half of product of diagonals = 30 1/2 ×d1×d2 =1/2×6×10=30 |
|