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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. |
(2x2+5 -(2x2-5) |
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Answer» (2x² + 5)² - (2x² - 5)² ( 2x² + 5 - ( 2x² - 5)) ( 2x² + 5 + (2x²-5)) ( 2x² + 5 - 2x² + 5)) ( 2x² + 5 + 2x²- 5) (10) × 4x² 40x² |
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| 2. |
गृह कार्य/Home Assignmentfara subject a simplify-BanÚ) - 2 + (-2)10 Alavilthat, |
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Answer» 5 is the answer for this question 5 is the answer of this question |
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| 3. |
f(X)=a.x-b/a-b+b.x-a/b-a rhen prove that f(a)+f(b)=f(a+b) |
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Answer» uuduc boy dh ji de v tijd ye ho lm |
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| 4. |
amu's school has an extra land in the form given below(A) Find the perimeter and area ofm (B) The school managing committto fence this land with a long piece2m Find the length of the wire needed2 mthis extra land12 m |
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| 5. |
6. Ramu's school has an extra land in the form given below:(A) Find the perimeter and area of2 m (B) The school managing committeto fence this land with a long piece2 m Find the length of the wire needed2 mthis extra land12 m |
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Answer» thank you |
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| 6. |
5i U | R/s ¢ |
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Answer» 1)6 percentage of 700700*6/10042 2)8 percentage of 4040*8/1003.2 litre |
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| 7. |
u)( r/\ +2)(gM+6âŹ)G |
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| 8. |
Example 9.3 An object is placed at (i) 10 cm. (it) 5 em in front of aconcave miuror of radius of ervature 15 em. Find the posiion, natuureand magnificalion of the image in each case |
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| 9. |
e दि Lo cepard e followring Ca% bt é‘%) (/%ac |
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Answer» (5x/2 - 4y/3) (5x/2 - 4y/3) Use (a - b)(a-b) = (a-b)² = a² + b² - 2ab So,(5x/2 - 4y/3) (5x/2 - 4y/3) = (5x/2 - 4y/3)² = (5x/2)² + (4y/3)² - 2 × 5x/2 × (4y/3) = 25x²/4 + 16y²/9 - 20xy/3 |
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| 10. |
PageDatein (n in-z then ho tha0äš |
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| 11. |
Find the . Me lo |
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| 12. |
PAGE HODATEthhe |
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| 13. |
Page Hotho:Date: |
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Answer» rationalizing the denominator 1/√7 = 1/√7×(√7/√7) = √7/7 |
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| 14. |
PAGE NO.:DATE: IU r |
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| 15. |
var un'x (b) Ĺżtan - x cocan'* (a) nonc of these |
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| 16. |
Page No.DateD eLfob Lo |
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Answer» If you like the solution, Please give it a 👍 |
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| 17. |
Page NoDate:P+Phtesest |
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Answer» Hit like if you find it useful |
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| 18. |
Two persons A and B are located in X-Y plane at the points(0, 0) and (0, 10), respectively. (The distances are measuredin MKS units). At a time t-0, they start movingsimultaneously with velocitiesüA - 2j ms 1 andüB 2i ms-1,respectively. The time after which A and B are at theirclosest distance is(a) 2.5 s[EAMCET 2009](b) 4s10V2Sc) Is(d) s |
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Answer» 1. draw the network for the project whose activities with their relationship are given below:. activities A,D,E can start simultaneously ;B,C>A;G,F>D,C;H>E,F. |
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| 19. |
EDATE:PAGE(11) 9/2a-6) - 46a-6)-13__ |
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| 20. |
63. When a car is sold for78400, there is aloss of 2%. What would be the cost priceof car ? |
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| 21. |
(5) What is the principle behind anyfirework ? |
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Answer» The bright sparkles in fireworks come from burning small bits of metal, such as iron or steel filings. The fuse sets off a charge, which ignites the gunpowder. This propels the firework into the sky. Once the firework is in the sky, the gunpowder within the firework ignites |
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| 22. |
senathe dent(a) 32o cm |
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Answer» l*l + b*b = diagonal*diagonal=> 16*16 + b*b = 400=> b = 12cmArea = l*b= 16*12= 192 sq cm |
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| 23. |
8. I P (a, b, e, d, e) and Q(a, e, i, o, u), prove that.d.e} and Q:: {a, e' i, o, u}.prov© that(i) PC PUQ(ii) PnQCP |
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| 24. |
Operations on Numbers104.In is a natural number, then (6n2 + 6n) is always divisible by(a) 6 only(b) 6 and 12 both (c) 12 only |
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Answer» Option b is the correct answer.., Option a is the right answer... |
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| 25. |
BL and CM aue medians -oin drain allABc ought anoled atA PSve that |
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| 26. |
2. Rina gave 1/5in her salary to her brother and the re maining amount was divided equally betweenmother and sister. If sister got rs. 40000, how mucı b other received? Aisotnot ranth y salary |
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| 27. |
Shreya's sister is 7 months old. How many days old is Sherya's sister. |
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Answer» approximately7* 30 210 daysdays may be 31 and 30 but considering all months of 30 days it will be 210 days older Thanks |
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| 28. |
16. Naresh is older than his sister by 3 vears and the sister is older thanyounger brother by 5 years. If the sum of their ages is 55, find Naresh's age. |
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Answer» let the age of Naresh be Xhence age of sister is X-3age of brother is (x-3)-5add them allX+x-3+x-3-5=553x-11=553x=55+13x=66X=22hence Naresh is 22 yearsyou sister u did some mistake 3x-11=553x=66x=22 |
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| 29. |
11. Two lines AB and CD intersect at a point Osuch that ZBOC + ZAOD = 280°, as shownin the figure. Find all the four angles.Nice |
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Answer» angle BOC+ angle AOD = 280 LET BOC AND AOD = x x + x = 280 2x = 280 x = 140 for angle BOD, 180-140 = 40(ADJACENT ANGLES) COA = BOD = 40 (VERTICALLY OPPOSITE ANGLE) angle coa = 40 = angle bod =40 angle boc = 140 = angle aod =140 |
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| 30. |
ample 1. What is the present age of a man whobe m times as old as his son now aged y years?years hence |
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Answer» Given,Present age of son = y Let present age of man be a x years henceAge of son = y + xAge of man = a + x As per given conditiona + x = m(y + x)a = my + mx - xa = my + x(m - 1) Therefore, present age of man= my + x(m - 1) |
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| 31. |
6. (a) Form expressions using t and 4. Use not more than one number operation.Every expression must have t in it.(b) Form expressions using y, 2 and 7. Every expression must have y in it Uiseonly two number operations. These should be different. |
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Answer» (a) t +4 = 0(b) y +2 = 7 |
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| 32. |
\begin{array} { l } { \text { Add each of the following expressions using } } \\ { \text { the horizontal method: } } \\ { \text { a. } 3 x + 4 y - 6 z \text { and } 8 x - 4 y + 12 z } \\ { \text { b. } x ^ { 2 } + y ^ { 2 } + 2 b ^ { 2 } c + 3 c ^ { 2 } a , 5 a ^ { 2 } b - 3 b ^ { 2 } c - 3 c ^ { 2 } a } \\ { \text { c. } a ^ { 2 } b + 2 b ^ { 2 } c + 3 c ^ { 2 } a , 5 a ^ { 2 } b - 3 b ^ { 2 } c - 3 c ^ { 2 } a } \\ { \text { and } 4 a ^ { 2 } b + b ^ { 2 } c } \\ { \text { d. } m ^ { 3 } n + m ^ { 2 } n + 3 m n , - 4 m ^ { 3 } n - m ^ { 2 } n + 3 m n } \\ { \quad a n d - 6 m ^ { 3 } n } \end{array} |
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Answer» 11x+6z2y^210a^2b-9m^3n+6mn |
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| 33. |
8. A woman introduces a man as the son of the brother of her mother. How is theman, related to the woman ? |
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Answer» cousin brother is the right ans cousine brother is right answer cousin brother is the right answer for your question The right answer is cousin brother |
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| 34. |
Pointing towards a woman in a photograph, Jack said, "sheis the mother of the daughter of my father's only son". Howis the woman related to Jack?A. MotherC. DaughterE. of theseB. SisterD. Wife |
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| 35. |
9. A man aged 27 marries a woman aged 24, he dies at the age of 81 and she dies at the age of 91. For whatfraction of his life is the man married? For what fraction of her life is the woman a widow? |
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Answer» Man marries at age of 27 and died at the age of 81. Man remain married for 81-27= 54 years Fraction of life man remain married = 54/81 = 2/3 Women marries at age of 24 and she dies at age of 91 As there is difference of age of 3 years in man and woman So, When her husband died women age was 81-3 = 78 yeas Therefore,Women was widow for 91 - 78= 13 years Fraction of life woman remain widow = 13/91 = 1/7 |
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| 36. |
11. Mass of the Earth is 597 x 10x kg and mans of the Sien ista.昈㎏wha!difference of their masses? |
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Answer» difference of mass =5.97*10^24-7.35*10^2359.7*10^23-7.35*10^2310^23(52.35)kg |
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| 37. |
In the figure, ZCAB-20° and AB L CD, then findZACBSolution: |
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Answer» sum of all angles of a triangle is 180°. Therefore, in ∆ACB: Angle ACB= 180°-(20°+ 90°) => Angle ACB =70° |
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| 38. |
1 mark each/(B) Attempt the following:P 70In the figure, P and Q are the midpoints of sidesAB and AC respectively. LAPQ = 70° then findZABCSolution:60VIKAS SMART WORKROoK MATHa |
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| 39. |
Section AWhich type of solution will the pair of linear equations+ 3y 4 and 2 ty- 5 have?1.2. In the given figure, AB, AC and AD are tangents. If AB = 5cm,find AD. |
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Answer» 1) no solution is there as a1/a2 is not equal to b1/b2 not equal to c1/c2 As AB,AC are tangents to one circlethey are equal ( th.tangents from an external point to a circle are equal)AB=AC=5------------------1 AC and AD are tangents to another circle.they are equal too(th.tangents from an external point to a circle are equal)AC=AD----------------------2from 1 AND 2,AB=AC=AD=5thus length of AD=5 |
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| 40. |
(1) Draw the graph of x + y -6, which intersects the X-axis and Y-axis at A and B reselength of seg AB. Also, find the area of AAOB, where O is the origin. (Practice QuesSolution : |
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| 41. |
Q.18. Find the square root of -3-4i |
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| 42. |
Care ad i the room. 1f 2 guesas shure a chair, one chair remains vacantand if each guest sits on a chair one guest remains standing. What is the nuinber ofExample 12: There are birds on two trees. If a bird flew fr |
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Answer» The answer to this question is that there are '3' chairs and '4' guests in a room. Explanation:If two guests share one chair then only 2 chairs are needed for 4 guests and in this way one chair is vacant. But when each guest sits on separate chairs, only 3 guests get chairs while the 4th guest remains standing. |
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| 43. |
A person loses 75% of his money in thefirst bet, 75% of the remaining in the_second and 75% of the remaining inthe third bet and returns home with- Rs. 2 only. His initial money was |
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Answer» 227 is the right answer let his initial money = X rs A/Q(25%of 25%of 25%of X) = 2 (25/100*25/100*25/100*X) = 2 X/64 = 2 X = 2*64 = 128 rs HENCE, His initial money = 128 rs (ANS) |
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| 44. |
1. Find x in the following figures.125°C125°(a)(b)half |
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| 45. |
Indian first president |
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Answer» Rajendra Prasadwas first India's president |
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| 46. |
153D C.125° 리佈2CDO-7001 .. DOC, <DCO125。 |
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Answer» thank you |
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| 47. |
5. The value of x satisfying 15+ Tx= 3 is(a) 125(c) 27The main reason 5***0864(d) 9 de |
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Answer» sqrt(5 + cuberoot(x)) = 3 Squaring both sides(5 + cuberoot(x)) = 9cuberoot(x) = 9 - 5cuberoot(x) = 4 Take cube on both sidesx^3/3 = (4)^3x = 64 (b) is correct option |
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| 48. |
EXERCISE .StoptioniABC is a triangle. Locate a point in the interior of Δ ABC which is equidistant from allthe vertices of Δ ABC.1.tt nnnint in its interior which is equidistant from all the sides of the |
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| 49. |
Rule of SubstitutionIf a =1kg and b = 2grn then a + b = |
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Answer» we know 1 kg = 1000 g So, a = 1000 g b = 2 g a + b = 1002 g |
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| 50. |
3. If Pl. y) is cquidistant from the points A(7.-2) and B(3, 1) expressy in terms of i.y) is equidistant from the poinpts2) and B(3, 1), express y in terms of x. |
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Answer» Let the points be P(x,y), A(7,-2) and B(3,1).AP^2 = (x-7)^2 + (y+2)^2BP^2 = (x-3)^2 + (y-1)^2Given P(x,y) is equidistant from (7,-2) and (3,1)(x-7)^2 + (y+2)^2 = (x-3)^2 + (y-1)^2x^2 - 14x + 49 + y^2 + 4y + 4 = x^2 - 6x + 9 + y^2 - 2y + 1-14x + 49 + 4y + 4 = - 6x + 9 - 2y + 1-8x + 6y = -53 + 10-8x + 6y = -438x - 6y = 43 |
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