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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. |
र* गे मे. जेW3 - V5) ({5 + LT VOMNS +43)हल 95 e— AR |
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| 2. |
Example 1. By use of definition of limit, show that Lt (4x-5) 3 |
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Answer» You want answer in epsilon delta method.. |
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| 3. |
CQ.8 Find the range of f(x) = 2-3x, xeR, x > o |
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Answer» 0 < x < infinity- infinity < -3x < 0- infinity < 2-3x < 2so range is from - infinity to 2 |
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| 4. |
, In the figure, DABCD is atrapezium inwhich AB 11 DC Aand P, Q are themid-points of AD and BCrespectively. DQ and AB whenproduced meet at E. Also, AC and Pintersect at R. Prove that:(i) DQ EQ (i) PRII AB(iü) AR RC |
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| 5. |
210a十530, thIn the given figure, PA, QB and RC are eachperpendicular to AC and AP=x, QRC = y. Prove that-+-=-. |
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| 6. |
1 (xER)The range of function, f(x)sin 2xis(2) 3' 2e. a |
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| 7. |
43.A pair of articles was bought for Rs.40 atdiscount of 20%. What must be themarked price of each of the articles? |
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| 8. |
०21० 15.4 शू०४० अंग 6 -0059+1 _ 1 . using the identitysin+cosB-1 secO—tanO |
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Answer» Like my answer if you find it useful! |
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| 9. |
I. The C.P. of 10 articles is equal to the S.P. of 20 articles What isprofit or loss percentage ?(a) 50%(e) 40%(b) 60%(d) 65% |
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Answer» hit like if you find it useful a 50 % ans cp is equal to now 20 rs and sp is equal to now 10 rs den solve the best way nd short cut |
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| 10. |
Using Euclid's Division algorithm, find the HCF of 101 and 1277. |
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| 11. |
11. Using Euclid's division algorithm, find HCF of 56,96 and 404. |
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Answer» 56/2=28/2=14/2=7, 96/2=48/2=24/2=12/2=6/2=3; 404/2=202/2=101 according to Euclid lemma a= bq+rr is less than Qwhen r= 0 , HCF = q96= 1×56+4056= 1×40+1640= 2×16+816= 2×8+0404= 50×8+48= 2×4+0so HCF = 4 4 is the correct answer |
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| 12. |
Euclid's division algorithm find the HCF of the numbers 867 and 255 |
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Answer» As, 867=255 × 3 +102 255 = 102 × 2 + 51 102 = 51 × 2 + 0 So, HCF (867,255) = 51 |
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| 13. |
8.1Using Euclid's Division algorithm, find the HCF of 210 and 55. |
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Answer» 210=55×3+45 55=45×1+1045=10×4+510=5×2so H.C.F==5 ans. I think that answer will be 5 |
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| 14. |
Using Euclid's division algorithm find the HCF of the numbers 867 and 2515 |
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Answer» By using EDLa=bq+rwhere a is > bso a =867 and b=255867=255×3+102here r≠0 so a=255 and b=102255=102×2+51here r≠0 so a=102 and b=51102=51×2+0here r=0so, HCf of (867,255) is =51 |
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| 15. |
These figures are similar. Findthe missing length and reduce.516401 |
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Answer» by comparing we can say that x = 5 so as |
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| 16. |
Two similar very small conducting spheres having charges 40 pC and-20 are somtance apart. Now they are touched and kept at same distance. The ratio of the initialfinal force between them is:(D) 1 1 |
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Answer» answer is not clear |
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| 17. |
Choose the correct answer from the givenfour options in question 1.+ y+ xy*1. The value of 3when x = 16 andy=5 is:1213971(1) |
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Answer» (x^2+y^2+xy)/(x^3-y^3) = (16^2 + 5^2 +16*5)/(16^3-5^3) = (256+25+80)/(4096-125) = 361/3971 = 1/11 option (d) 1/11 |
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| 18. |
Define (Attempt any two)) Quadrantal Angle |
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Answer» AQuadrantal Angleis ananglein standard position with terminal side on the x-axis or y-axis. Some examples are theangles located at 0°, 90°, 180°, 270°, 360°, 450°, ... as well as -90°, -180°, -270°, -360° |
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| 19. |
7879808284Single Choice+4/-1If the normal to the curve y2 = 5x-1, at the point (1,-2) is of the form ax-5y+b = 0, then (a, b) is:A(4, -14)B(4, 14)C(-4,14)D(-4, – 14)Submit |
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| 20. |
x ind He derivitives of L 5(o5-11 using-rulesof differen tiation |
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Answer» Please hit the like button if this helped you. |
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| 21. |
Using Euclid's division algorithm find if the pair of numbers. 360 and 840 are co-prime or not? |
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Answer» 360=840×0+360850=360×2+120360=120×3+0so, 360 and 840 are not co prime because they have common 120 other than 1. |
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| 22. |
If a = m,(1) 26b=m-4,c=m+2,then 4a + 3 b_7e=?(2) 14(3) -26(4)-14 |
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Answer» 4a + 3b - 7c 4m + 3 ( m - 4) - 7 ( m + 2) 4m + 3m - 12 - 7m - 14 -26 (3) option is correct 3 option (-26) |
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| 23. |
1. Cost of 24 identical articles iscost of 40 similar articles.108. Find the |
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Answer» Like if you find it useful |
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| 24. |
po 1414andWhat is difference between pollinationfertilization ?Set: C) |
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Answer» Pollination = pollination is the transfer of pollen from the anther to the stigma of the same or different flower.Fertilization = fertilization occurs once the pollen from the another to the stigma it produce a pollen tube which grows down through the style of the ovary. |
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| 25. |
Define Co-ordination complex with examples: |
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Answer» Acoordination complexis the product of a Lewis acid-base reaction in which neutral molecules or anions (calledligands) bond to a central metal atom (or ion) bycoordinate covalent bonds.hexaamminecobalt (III) chloride,Potassium tetrachloroaurate(III),copper(II) hexacyanoferrate(II) |
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| 26. |
50.(a) Define ellipse as a set of points. Derive its equation in the form-+-= 1.(b). Find the derivative of Cousing rules of differentiation.sin x |
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| 27. |
18) Let A = {1,2,3,4,.........14). Define a relation R from A to A by R = {(x,y): 3x - y =Owhere x,y EA.Write down its domain, co-domain & range. |
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| 28. |
Medicine in a tea-spoon:___ |
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Answer» ml or ccMost liquidmedicineis measured byteaspoon(tsp) or milliliter (mL) or cc. |
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| 29. |
Proctice Set 4.1In Î LMN, is an altitude and ismedian. (write the names of approprisegments.)XY |
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Answer» altitude is LXand YL is median in given figure |
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| 30. |
fa and B are the roots of the e+bx+c=0 then |
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| 31. |
8th-MATHEMATICS53. If α,β are the roots of ax2 +bx+c 0then the equation whose roots are2+α, 2 + β is |
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Answer» Given α and β are roots of ax² + bx + c = 0 We know, α + β = -b/a αβ = c/a We know any polynomial have zero m and n can be written as ( x - m) ( x - n) = x² - ( m + n)x + mn So, polynomial have zeroes 2 + α and 2 + β Will be x² - (4+α+β) x + (2 + α)(2 + β) x² - ( 4 - b/a)x + (4 + 2(α + β)+αβ) x² + ( b - 4a)x/a +(4 - 2b/a + c/a) |
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| 32. |
If the equation x2 - bx - 1 = 0 does notpassess real roots, then |
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Answer» a= 1, b= -b , C= -1condition for real root =b^2-4ac >0(-b)^2-4(1)(-1)>0b^2+4>0 David is correct. Following up, one realizes that b^2 = 24a at the solution. Thus, a = b^2/24 Then, 3a + b = 3 * b^2/24 + b = b^2/8 + b We minimize either by completing the square or taking the first derivative. Completing the square, b^2/8 + b = 1/8(b^2 + 8b) = 1/8(b^2+8b+16) - 1/8(16) = 1/8(b+4)^2 - 2 This is minimized at b = -4. a = b^2/24 = (-4)^2/24 = 2/3 As a check, note that 2/3 x^2 - 4 x + 6 = 2/3 (x^2 - 6x + 9) = 2/3 (x - 3)^2 has one solution, not two. a=1; b=-1; c=-1, b^2-4ac=(-1)^2-4(1)(-1); =1+4(1)=5 |
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| 33. |
e probability of getting 53 Mondays in a year of 365 days. |
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Answer» 1 year = 365 daysA leap year has 366 daysA year has 52 weeks. Hence there will be 52 Mondays for sure.52 weeks = 52 x 7 = 364 days366 – 364 =2 daysIn a leap year there will be 52 Mondays and 2 days will be left.These 2 days can be:Sunday, MondayMonday, TuesdayTuesday, WednesdayWednesday, ThursdayThursday, FridayFriday, SaturdaySaturday, SundayOf these total 7 outcomes, the favourable outcomes are 2.Hence the probability of getting 53 Mondays in a leap year = 2/7. |
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| 34. |
Find the probability of getting 53 Mondays in a year of 365 days. |
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Answer» in general total 52 weeksso total days 52×7=364so remaining 1 day can be anyso probability is 1/7 |
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| 35. |
If the sum and product of roots of the equation ax2 + 6x + 4a = 0 are equal, then what is the value'a'? |
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| 36. |
25*x^2 - 20*x %2B 4=0 |
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Answer» this is only the answe answer is (5-2)^2 by theorem (a-b)^2 25x^2-20x+4=0; 25x^2-10x-10x+4=0; 5x(5x-2)-2(5x-2)=0; (5x-2)(5x-2)=0; x=-5/2; -5/2 |
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| 37. |
.Find the probability of getting 53 Mondays in a year of 365 days. |
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| 38. |
13. दो द्विधातीय समीकरणax’+bx+c=0 U& a,x’+b, x+c, =0के मूल आपस में समान होगें यदि |
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Answer» If you like the solution, Please give it a 👍 |
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| 39. |
11 Equation whose roots are equal but opposite insign, ax2 + bx + c = 0 is(a) a0(c) c = 0(b) b = 0(d) none of these |
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Answer» Answer of this question is b |
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| 40. |
Draw the minute hand as indicated and write the ti1212- 1010 minutes later8:15 |
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Answer» 10 minute later time will be 8:25and minute hand will be drawn towards 5 |
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| 41. |
A girl standing on a lighthouse built on a cliff near the seashore, observes two boatsdue East of the lighthouse, The angles of depression of the two boats are 30' and 60. Thedistance between the boats is 300 m Find the distance of the top of the lighthouse from thesea level. (Boats and foot of the lighthouse are in a straight line) |
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| 42. |
cx^2+bx+c=0 find b:c |
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Answer» Cx²+bx+C = 0 so, x² +(b/c)x+1 = 0 , D = b²/c²-4 roots are x = -b/2c ± √(b²-4)/2c so , b/c = -( sum of roots) b: c = - sum of roots :1 |
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| 43. |
The roots ofart bx+c=0 are tan 0 andcos 0, Find the relation between a,b,c.SECTION- II |
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| 44. |
3. If p and q are the roots of the equation ax2 + bx + c = 0 , findthe value of (ap+c)2 (a+ |
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| 45. |
76)If α, β are the roots of equation ax 2 + bx + c0 . Find the following:h) (aa +b (aB+ b |
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| 46. |
| (360५ प९(त५ NN || Ll .) Gy (Bl =wsqlosg- ten |
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| 47. |
If ax^2 + bx + c=0 has equal roots, find the value of c. |
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Answer» equal roots so b*b-4ac=0so b*b=4acso c=(b*b)/4a |
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| 48. |
5. If ax^2 + bx + c = 0 has equal roots, find the value of c. |
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Answer» equal roots then discrimanat will be zerob² - 4ac = 0c = b²/4a |
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| 49. |
A man on cliff observes a boat an angle of depression of 30 ' which is approaching the shore to the point immediately beneath the observer with a uniform speed. six minutes later, the agle of depression of the boat is found to be 60'.find the time taken by the boat to reach the shore. |
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| 50. |
26. A man on cliff observes a boat an angle of depression of 300 which is approaching the shoreto the point immediately beneath the observer with a uniform speed. Six minutes later, theangle of depression of the boat is found to be 600, Find the time taken by the boat to reachthe shore.OR |
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