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.
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ter and compasses.Take any three non-collinear points A, B, C and draw AABC. Through each vertex ofthe triangle, draw a tine parallel to the opposite side using ruler and compasses. |
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ant6finenddomain , (o |
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Answer» The domain is x belongs to R and range is y belongs to R |
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e) of these5, If CODE is written as D4E2, then how will beLATE written?a) 0120c) N1U2e) of theseb) M1S2d) M2U2 |
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Answer» C = D ( C+1 ) O= 4 ( 4th Vowel ) D = E ( D+1 ) E = 2 ( 2nd Vowel ) So Each Consonant is to be replaced with next Alphabet . And Each Vowel is to be replaced with its place value ( A =1 E =2 I =3 O = 4 U =5). LATE = M1U2 the right answer is option d |
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Spots Poyulmy omd ?; S |
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Answer» Sport psychologyis aninterdisciplinaryscience that draws on knowledge from many related fields includingbiomechanics,physiology,kinesiologyandpsychology. It involves the study of how psychological factors affect performance and how participation in sport and exercise affect psychological and physical factors. In addition to instruction and training of psychological skills forperformance improvement, applied sport psychology may include work with athletes, coaches, and parents regardinginjury,rehabilitation, communication,team building, and career transitions. |
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Example 4. Differentiate the following:(i) tan-1|_sin x(1 + cos x |
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Answer» Tan^-1 ( sin x / 1 + cos x) = Tan^-1 ( 2 sin x/2 cos x/2 / 2 cos^2 x/2 ) = Tan^-1 ( sin x/2 / cos x/2 ) = Tan^-1 ( tan x/2 ) = X/2. hence now d/dx(X/2)=1/2 |
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7.5Solve following questions.In a two digit number, the digit at unit's place isequal to the square of the digit at ten’s place. If54 is added to the number, the digits get inter-changed. Find the number. |
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Answer» your answer would be 39 let numbers at one place =2x; ten's place be = x; 10(x) + 1(2x)=10x+2x; 10x + 2x = 3x + 18; 12x-3x=18; 9x=18; x=18/9=2; the digit at one's place = 2x X = 2x2=4; digit in ten's place = x =2; the numbers is 10( x)+12(×) = 10(2)+1(2x)=20+(4)=24 let tenth place digit = xunit digit = x^2no = 10x+x^254 added digit reversenew no 10x^2+x10x^2+x= 10x+x^2+549x^2-9x=549(x^2-x)= 54x^2-x-6=0.x^2-3x+2x-6=0x(x-3)+2(x-3)=0(x-3)(x+2)=0x= -2(impossible)x= 3so nos= 10x+x^2 = 10×3+9 = 39 |
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f the letters of the word MOTHER' are written in all possible orders and thesewords are written out as in a dictionary, find the rank of the word 'MOTHER |
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. In a quiz, team A scored-40, 10,0 and team B scored 10,0,-40 in three successiverounds. Which team scored more? Can we say that we can add integers inany order? |
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Four angles of a quadrilateral are in the ratio 2:3:4:1. Find the angles |
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थै-| ) - lz(i‘__“*)L.p I =o/ जन oK 1 Sum o Astas 6f- $90Pt Wa(’_u o<t 4L M-अल: कूल भा लच् हे...A 2 a4 Ly ' उप ok g,,"dq./b % emw—(— हे |
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VERY SHORT ANSWER TYPEQ.1Which number cannot be the units digit of square number? |
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Answer» Unit Digit of Perfect Square. Squares: There is a definite relationship between the unit digits when square of a number is considered, E.g. 81, 121, 441, 961 all are Perfect Square having unit digit 1 and tens digit is even. – If unit digit of a number is 2 then it can't be a perfect square . |
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Datc:Page No:tine sesult innotation with Tas itiuo |
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feth| R-107, ant z Rupt-chatpeHetas |
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01. If tan A=%, dan B =%, andtan (A+B)= tan A+ tas BIntant tane. Andspots)+ +) 2 |
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Answer» tan(A+B)=1/2+1/3/1-1/2*1/3=5/6/5/6=1henceA+B=tan^-1(1)=π/4hencesin^2(π/4)+cos^2(π/4)=1/2+1/2=1 |
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Example 4 In an AP if mth term is n and the nth term is m, where m \neq n, find the pth term. |
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Check the fallowing team die maliIf yes then did its CoumadiprenceDe, de, da die |
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Answer» V6=V2x3; V9=V3x3; V12= V4x3= V6×2; |
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. One angle of a quadrilateral has measure 2 pi/5and the measures of other three anglesare in the ratio 2 : 3 : 4. Find theirmeasures in radians and in degrees.Solution |
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18. A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at randfii) a perffrom the box, find the probability that it bears (i) a two-digit numbersquare number (iii) a number divisible by 5. |
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Find the area of a triangle two sides of which are 1Scm and 10em and the perimeter is |
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Find the area of a triangle two sides of which are 18cm and 10cm and the perimeter is42cm. |
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Answer» tell me given:two sides =18cm and 10 cmlet 3rd side be xcmperimeter=42 cm perimeter=18+10+x42=28+xx=42-28x=14cm s=perimeter/2s=42/2s=21 using herons formulaarea of triangle=√s(s-a)(s-b)(s-c)=21(21-18)(21-10)(21-14)=21*3*11*7=4851cm^2 Area is triangle is 4851cm^2 |
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lt 1. +22 +32 +(A) π2/12upto oo-6, then 1a +32 +52 +(B) π32416J=(C) π78(D) π2/4PART - II: SINGLE AND DOUBLE VALUE INTEGER TYPE |
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Answer» 1/1² + 1/3² + 1/5² + ...= (1/1² + 1/2² + 1/3² + 1/4² + 1/5² + 1/6² + ...) - (1/2² + 1/4² + 1/6² + ...)= (1/1² + 1/2² + 1/3² + ...) - (1/2²)(1 + 1/2² + 1/3² + ...)= (1 - 1/2²)(1 + 1/2² + 1/3² + ...)= (3/4)(π²/6)= π²/8. |
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Exercise 5.4ASelect the correct answer1. The sum ofa) 192: On subtractinthe result is:(b) 14Oct3. The sum of and when subtracted fromgives(b) 0B. Solve the following:1. Find the sumDIC(13(0)63+3(h) 822. Find the differences8+3(3(684+5(2) 67 24tas3. Fill the boxes4. Simplify the following:(a)_4.2415La |
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Answer» first question first answer 14/9 is the right answer Please give the fresh photo then I will give you the right answer please select in one question first question first answer.second question second answer third question second answer first question first answer.second questions second answer.third questions second answer 😊 |
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In an A.P. sum of pth term is equal to sumof gth term then sum of p + q term will be(a) 0(c) p(b) 1(d) q |
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6. Prove that the sum of n A.M's between a and b is n times the A.M. between a and b.of m A M's between any two numbers is to the sum of n A.M's |
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Answer» Let n a.m, between a,b are a1,a2,a3,............ana,a1,a2,a3,.............an,bsum of n a.m.Sn = n[2a1 + (n-1)d]/2 ----------(1)a.m. of a,b is (a+b)/2b = a+(n+1)da.m. = [2a+(n+1)d]/2 -------------(2)a1 = a+d put in (1)Sn = n[2a + 2d + (n-1)d]/2 = n[2a+(n+1)d]/2 ------------(3)from equation (2) & (3)Sn = n*a.m.where d = common difference of a.p. |
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ABC is an equilateral triangle of 8 cm side. DEF are the mid-point of side BC, CA, AB respectively. Find the sum of the perimeter of the triangle DEF and ABC. |
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a right angle triangle if one angle measures 35 degree. Findthe measure of the other two angles |
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Find the volume of a hollow sphere whose outer diameter is 10 cmmaterial of which it is made is 1 cm. |
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Find the area of a triangle two sides of which are 18cm and 10em and the perimeter i42cm.a triangle two sides of which are 18em and 10em an the perimeter i |
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Five years ago, a man was seven times as old as his son, while five year henceExamplman will be four times as old as his son. Find their present age. |
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vi. Theoof a fraction and its reciprocalVI.is 1a) sum b) difference c) product d) quotient |
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Answer» thanks |
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S1n and E are points on sides AB and AC respectively of A ABC such thatar(DBC)-ar (EBC). Prove that DE I BOC.7. Dlal to side RG ofa triangle ABC. If BElIAC and CFlAB meet XY at E |
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) An angle ofa triangle measures 65 then find the other two angles if theiis 25%er |
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5x-such thatDivide 28 in two parts, such thatof one part is equal to of the other.of one part is equallore than the number Find |
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Answer» Let two parts of 28 are x and (28 - x) Then,As per given condition6x/5 = 2(28-x)/318x = 280 - 10x28x = 280x = 280/28 = 10 Therefore,Two parts of 28 are 10 and 18 |
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A solid sphere of radius 3 cm is melted andthen recast into small spherical balls each ofdiameter 0.6cm. Find the number of balls. |
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13. The surface area of a cube is 1536 cm2Find: (i) the length of its edge(ii) its volume(iii) the volume of its material whose thickness is 5 mm. |
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Answer» Let edge length is 'a', so as per given data6 a^{2}=1536cm ^{2}=> a= 16cm volume = a^{3}=4096 cm^{3} convert mm to cm i.e 5mm = 0.5cmvolume of the material used= 6x 1536x0.5cm=4608 cm^{3} |
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It and = 3+212,Then find the value of ne-23 |
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Answer» in eq. 1st cube both side x³-1/x³-3x*1/x(x-1/x)= (3+2√2)³. (x cut by x)(x³-1/x³)=9+16√2+3*3*2√2(3+2√2)+3(3+2√2) =81+70√2+9+6√2 =90+76√2 ans. 90 +76√2 the correct answer of the given question 90+76√2 is the right answer of the following |
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Ne sum vi uvuvcvSUID IN12. II UNICThe difference of an integer p and -8 is 3. Find the value of p. |
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Answer» -5 the correct answer of the given question -5 is right answer of this question. .please like my answer -5 the correct answer Your correct answer is -5 |
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4. Prove analytically that the line segment joining the middle points of two sides ofatriangle is equal to half of the third side. |
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Answer» awesome |
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ofapairotoppositesidesof1 Prove that the line segment joining the mid-pointsparallelogram divides it into two equal parallelogramslelogtam divide it into four trangles of equal |
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A solid sphere of radius 3 cm is melted and then recast into small spherical balls each of diameter 0.6cm. Fhe number of balls.ind |
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A Solid sphere of radius 3 cm is melted and then recast into small spherical balls each of diameter 0.6cm. Find the number of balls. |
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ulilr ot small balls9. A metallic sphere of radius 10.5 cm is melted and then rerast intosmaller cones, each of radius 35 cm and height 3 cm How many conesare obtained? |
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The magnetic susceptibility of diamagnetic substan(a) small and positive(c) smal and negative(b) large and positive(d) large and negagive |
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Answer» Answer:c)small and negativeExplanation:Since it is the ratio of two magnetic fields, susceptibility is a dimensionless number. Diamagnetic substances have negative susceptibilities (x < 0) |
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TheS mesof theix Lcm and HcALc m oftwo num bestie S o their Hcf the Sumt ho e n w1Sone numbe is athe othes numben2 |
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Answer» If you find this solution helpful, Please like it. wonderful excellent |
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The conveise Ur TIcuIUlTheorem 10.10 : If a line segmeni joining two points subtends equal angles attwo other points lying on the same side of the line containing the line segment,ihe four points lie on a circle (i.e. they are concyclic)os |
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Answer» Given:AB is a line segment and C and D are two points lying on the same side of AB such that ∠ACB = ∠ADB. To prove:A, B, C and D are concyclic. Proof: If possible, suppose D does not lie on this circle. Let D´ be the point which lies on the circle. Since, C and D´ are two point on the circle lying on the same side of AB. ∴ ∠ACB = ∠AD´B (Angles in the same segment are equal) ⇒ ∠ADB = ∠AD´B (∠ACB = ∠ADB) ∴ An exterior of ΔDBD´ is equal to the interior opposite angle. But, an exterior angle of a triangle canneverbe equal to its interior opposite angle. ∴ ∠ADB = ∠AD´B ⇒ D coincides with D´. ⇒ D lies on the circle passing through the points A, B and C. Hence, the points A, B, C and D are concyclic. |
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find the number of bricks,each measuring 25cm×12.5cm×7.5cm,required to construct a wall 6m long,5m high and 50cm thick,while the cement and the sand mixture occupies 1/20th part of the volume of the wall |
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Answer» Bricks Wall l=25 cm l=6 m =600 cm b=12.5 cm b=50 cm h=7.5 cm h=5 m =500 cm volume of wall=l x b x h =600 x 50 x 500 =15000000 cubic cm volume of mixture =1/20 x 15000000 =750000 cubic cm volume left =15000000 - 750000 =14250000 cubic cm required brick =14250000/25 x 12.5 x 7.5 =6080 bricks |
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distinct points, then the other two sides are thvucd5. If a line divides any two sides of a triangle in the same ratio, then the line is paralletothird side |
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27. A solid metallic cylinder of radius 3.5 cmand height 14 cm is melted and recastinto a number of small solid metallic ballsf radius cm. Find the number712of balls so formed. G4[[CBSE 2016)] |
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Answer» Radius of cylinder R =3.5cmheight H =14cmradius of the ball r=7/12cmlet n be the number of balls that can be form from the cylinder. Since the cylinder is recast into the small spherical balls, so n x volume of sphere = volume of cylinder n4/3 πr^3= πR^2H [ pi get cancelled ]nx4/3r^3=R^2H nx4x7x7x7/3x12x12x12= 3.5x 3.5x141372n/5184=171.5n =171.5x5184/1372n=889056/1372n=648 hence 648 small balls can be formed by the cylinder. |
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the ratio of expenditure and saving of a family is 7:5 find expenditure if the saving is rs3500 |
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Answer» this not 7:6 this is 7:5 |
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19.In Arithmetic progression, if an = 6n + 2, then find the common difference.a) 0b) 4d) 12 |
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Answer» n’th term of an AP is a + (n-1)d and is given to be 6n+2 So, a + (n-1)d = 6n+ 2 ie (a-d) + nd = 6n+2 In the above equation, compare the coefficient of n on both sides, ie , dn = 6n, so d= 6. With d known, compare the constant terms on both sides, ie, a-d = 2, but d being 6, a-6 = 2 . Hence a = 6+2 = 8 |
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