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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. |
८७००० फफ्+फें ‘iz p—=b-d s ८: ६ ले 024 (m)e U R |
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Answer» p:q =5 :7 ধরি, p= 5k এবং q= 7k p_q = -4or,5k - 7k = -4or, -2k = -4or, k = -4 / -2or, k= 2so, p= 10 & q = 14 3p +4q=3×10 +4 ×14=30 +56=86 |
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| 2. |
DOPPLER EFFECT IN LIGHT |
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Answer» The relativisticDoppler effectis the change in frequency (and wavelength) oflight, caused by the relative motion of the source and the observer (as in the classicalDoppler effect), when taking into accounteffectsdescribed by the special theory of relativity. 1 2 thanks |
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| 3. |
Q.4.01. Does Doppler effect also hold for electromag-netic waves? |
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Answer» Yes theDoppler Effectis observed on all types ofwaves.Bothelectromagnetic wavesand mechanicalwaves candisplay theDoppler Effect. ChristianDopplerstated that there was a change in the frequency of a mechanicalwavewhen the source and the observer moved relative to one another. thanks |
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| 4. |
6u+3v=6 2u+3v=5 |
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Answer» 6u+3v=6;; 3(2u+3v=5)=6u+9v=15; 6u+3v=6; 6u+9v=15/3v=9; v=9/3=3; 6u+3(3)=6; 6u=6-9=-3; u=-3/6=-1/2 |
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| 5. |
The volume of a balloon is increasing at the rate of 20 cm /sec. At what rate is the surface area df theballoon increasing when the radius is 8 cm |
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| 6. |
If one root of ax2 + bx+ cmO be square of the otherthen the value of b3 +ac, a2c is(a) 3abc(c) 0(b) -3abc(d) of these |
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Answer» ans |
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| 7. |
8%children ofaclass of25 like getting wetin the rain. How many childgetting wet in the rain.2.5. |
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| 8. |
The volume of a cube is increasing at the rate of 8cm'/s. How fast is the surface area increasing when thelength of an edge is 12cm? |
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| 9. |
d) 6u1.In the given figure, BOC is a diameter of a circlewith centre O. If ZBCA 30°, then LCDA-? |
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| 10. |
EXAMPLE 5.5The volume of a cube is increasing at a rate of 9 cubiccentimetres per second. How fast is the surface areaincreasing when the length of an edge is 10 cm long? |
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| 11. |
Q&z _tant (1) thenShouthat Beat B50024 |
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Answer» y:z=tan^-1(y/x); y/x=yx^-1; dz/dx=1/1+(y/x)^2.d/dx( yx^-1)=1/1+(y/x)^2(-yx-2)=y/x^2+y^2;; d^2z/dx^2=-(y/x^2+y^2)^2= y^2/x^4+y^4+2x^2y^2= y^2/y^2(x^4+y^2+2x^2)= 1/( x^4+y^2+2x^2) |
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| 12. |
Define angle of incidence and angle of emergence in an experiment to trace the poth of light pothrough a rectangular glass slab. How are these two angles related to each othe |
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Answer» It depends on what object the light is incident on.In case of a glass slab, the incident ray is parallel to the emergent ray, that means the angle of incidence is equal to the angle of emergence. The explanation is as follows: When a ray of light is incident on the surface of the glass slab, it undergoes refraction. As the refractive index of the glass slab is denser than that of air, the ray of light bends towards the normal. The same ray of light which is refracted acts as the ray of incidence on the inner surface of the glass slab. it undergoes refraction again and the the ration of the refractive indices between air and glass is same, the emergent ray is parallel to the incident ray. Hence the angles are equal. |
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| 13. |
The count of bacteria in a certain experiment increased at the rate of 65% per hour. Find the count。bacteria at the end of 3 hours, if it was 48,00,000 in the beginning |
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| 14. |
A retailer buys 40 pens at the marked price of 35 pensfrom a wholesaler. If he sells these pens giving a dis-count of 1%, what is the profit percent? |
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| 15. |
a. A trader marked the price ofcommodity so as to include aprofit of 25%, but allowed a dis-count of 16% on the markedprice. His actual profit will(1) 16%(3) 5%(2) 25%(4) 9% |
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Answer» Let the gain be x%Then, (100+x)/100 = (100-16)/100 * (100+25)/100(100+x) = 84*(5/4)=> 100+x = 105=> x = 5% |
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| 16. |
DIS Ira |
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Answer» Answer is 59 |
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| 17. |
In a laboratory the count of bacteria in a certain experiment was increasing at the rate o2.5%perhour. Find the bacteria at the end of2 hours ifthe count wasinitially 5, 06,000 |
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| 18. |
lL. Ina Laboratory, the count of bacteria in a certain experiment was increasing at therate of25% per hour. Find the bacteria at the end of 2 hours if the count was initially5, 06,000. |
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| 19. |
BL and CModis |
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| 20. |
11. In a Laboratory, the count of bacteria in a certain experiment was increasing atterate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially5, 06,000 |
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| 21. |
secxr di |
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Answer» 1/secx dx = cosxdx and Integration of cosxdx = sinx +c |
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| 22. |
A) 28(B) 22(C) -38In the following APs, find the missing terms in the boxesRamkali saved t5 in the fir1.75. If in the nth week, her we26Sum of First n Terms of anet us consider the situation againen in Section 5.1 in which Shakilat 100 into her daughter's moneywhen she was one year old50 on her second birthday0 on her third birthday and willtinue in the same way How muchmey will be collected in the moneyby the time her daughter is 21a)13,(38,Which term of the AP:3,8, 13, 18,.is 78Find the number of terms in cach of the following APsrsoldHere, the amount of money (inrthbirthday were respectiveld the total amount in the money bthe 21 numbers in the list above adious and time consuming procdpossible if we can find a method7.13,1920(0) 18, 151347. Check whether-150 is a term of the AP 11,8,5,2Find the 31st serm of an AP whose 11th term is 38 and the 16th term isAPs of 50 terns of which 3rd tem is 12 and the last term is 106 Fahe led and the 9th terms of an AP are 4 and-8We consider the problenapter 1), to solve when he was jpositive integers from I to 100.1respectivety, whach omsuess how did he dof Hhe wokSal+2+3+d then, reversed the numbers lo |
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Answer» we cannot provide multiple answer which question's answer do you want |
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| 23. |
Which of the following relations are functions? Give reasons. Idetermine its domain and range |
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| 24. |
\lim _ { x \rightarrow 0 } \frac { \left( e ^ { \tan x } - 1 \right) } { \tan x } |
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| 25. |
ही [वन धाइना ५ सध्मस रूह नाथ . F’%(i) BT A~ {x c N:%2_ 5% 4 6 =¢ ९: =01, B~ x & o 4x2=8AXBUO=AxB)UAxgy T USRS ENC o N = 3y eB =T A A DI » न >>... |
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Answer» please like my answer if you find it useful |
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| 26. |
के... T...() _.. 22, सिद्ध करें कि 5-3 अपरिमेय है। [TC,BM.IBA, 16 |
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Answer» मान लेते हैं कि 5-√3 तर्कसंगत है। चलो, 5 - √3 =r, जहां r तर्कसंगत है 5 -r= √3 यहाँ, LHS विशुद्ध रूप से तर्कसंगत है। लेकिन दूसरी ओर, RHS तर्कहीन है। इससे विरोधाभास होता है। इसलिए, 5-√3 तर्कहीन है |
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| 27. |
A bag contains 30 Kg of sugar after consuming 2/3of it ,how much sugar left in bag |
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Answer» 30-(2/3)(30)=30-20=10kg 30-(2/3)(30) =30-20 =10kg 10 kg is the correct answer 10 is the right answer 10 kg is correct answer of the given question |
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| 28. |
*Write what kind of angle is made by the hands at these times.Also write the time.75 |
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Answer» 1 clock time = 7: 25 First clock - 7 25acute angleSecond clock - 8 15obtuse angleThird clock - 9 10reflect angleFourth clock - 9 25obtuse angleFifth clock - 10 00acute angle 1 clock time =7:25 . |
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| 29. |
16 ^ { n } P _ { 3 } = 13 ^ { n + 1 } P _ { 3 } , \text { find } n |
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| 30. |
e di power underroot tan x by delta method |
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Answer» Please post your question by image to understand it properly. |
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| 31. |
\begin{array} { l } { \text { If } p _ { m } \text { stands for } m P _ { m m } \text { then prove that } } \\ { 1 + 1 \cdot P _ { 1 } + 2 \cdot P _ { 2 } + 3 \cdot P _ { 3 } + \ldots + ^ { n } P _ { n } = ( n + 1 ) ! } \end{array} |
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| 32. |
ktablealb Golle he qua tionalt Golve |
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| 33. |
(xviii) In b-a-alb , x #0,-b |
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Answer» please like the solution 👍 ✔️ |
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| 34. |
are in G.P.Theralb? tc?)-clatb?Prove that |
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| 35. |
Find the height of the cylinder whose volume is 1.54 m' and diameter of the base is140 cm?A milk tank is in the form of cylinder whose radius ir 15 mandi |
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| 36. |
Find the height of the cylinder whose volume is 1.54 m' and diameter of the base is140 cm ? |
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| 37. |
4.Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm? |
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| 38. |
3. Find the height of the cylinder whose volume is 1.54 m' and diameter of the base is140 cm? |
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| 39. |
Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is140 cm ?5. |
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| 40. |
5. Find the height of the cylinder whose volume is 1.54 m^3 and diameter of the base is140 cm? |
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Answer» Volume of the cylinder = 1.54m³Diametre of the base = 140cmRadius of the base = 140/2= 70cm= 0.7m Volume of cylinder = πr²h1.54 = 22/7*0.7²*h1.54*7/22*0.7*0.7 = hh = 1Height = 1m Ans. |
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| 41. |
Find the height of the cylinder whose volume is 1.54 m' and diameter of the base is140 cm?onuhoradiusis 1 5m and |
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| 42. |
o cin cair be praccdIIFind the height of the cylinder whose volume is 1.54 m and diameter of the base is140 cm?5. |
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| 43. |
[~ VUIS 4+ पुर 80 iV100 + v80500 = L ______l_s________VS BN 22 DS b 100 4 हू, > 00500 |
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| 44. |
If m α n and when m-154, n-7. Find the value of m, when n |
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| 45. |
solve the linen pain6x + 3y =60gzat hy say |
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Answer» 6x+3y=6xydivided by xy both sides6/y+3/x=6--(1)2/y+4/x=5----(2)multiple by 3 in eq26/y+3/x=66/y+12/x=15by substrate 3/x-12/x=-93-12/x= -9-9/x= -9/1x=1putting the value of x in eq16/y+3/x=66/y=6-3=33y=6y= 6/3=2 |
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| 46. |
(ii) A certain sum of money doubles itself at 10% simple interest per annum in-(a) 15 yearsb) 10 years(c) 3 years(d) 5 years |
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| 47. |
1. If n (A) = 45, n (B) = 52, n (A u B) = 70, find n (A n B). |
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| 48. |
Find $n,$ if $n P_{5}=42^{n} P_{3}, n \geq 5$ |
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| 49. |
(1)If n(A)15, n(AUB)= 29, n(AB) = 7find n(B).= |
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Answer» thanks |
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| 50. |
. Find n such that \frac{a^{n}+b^{n}}{a^{n-1}+b^{n-1}} may be the A.M. between a and b. |
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