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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. |
3 ,347, Find ten rational numbers betweenand |
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Answer» thanx |
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| 2. |
2. Find three rational numbers betweenand |
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| 3. |
CミARPQ, LA = 60° and LB-50°. Find LP, LQ and LR.150) |
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Answer» ∆ABC~=∆RPQ-------------. givenSo,angle A=angleRAngleR=60°---------given angleA=60angleB=anglePangleP=50°-----------given angleB=50° Sum of all angles in a triangle is 180°Therefore,angleR+angleP+angleQ=18060+50+angleQ=180angleQ=180-110angleQ=70° |
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| 4. |
Determine LP + LQ + <R + LS + 27. |
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Answer» As there are 6 angles sum of all these will be 360°now P+Q+R+S+T+Q= 360 |
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| 5. |
In4PQR, LQ=LP-22PRQ.What is themeasurement of PRS? |
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Answer» according to opposite angle property, angle P + angle Q = angle PRS=> 2PRQ + 2PRQ = angle PRS=> angle PRS = 4PRQ |
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| 6. |
A Ä° er of an hilaterals), B quare, re tangle trap vium.th nibus Sinte whoAcBorBA Justity your answer |
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| 7. |
2. A set of three figures X, Y and Z showing asequence of folding of a piece of paper isgiven. Fig. (Z) shows the manner in whichthe folded paper has been cut. Select theoption which shows the unfolded form ofFig. (Z).A.B.C.D. o |
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Answer» ans will be option c for this question |
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| 8. |
Q3: Prove that a cyclic parallelogram is a re tangle. |
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Answer» thanx |
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| 9. |
An△PQR, if <P-LQ42° and <Q-LR-21°, find < P,Q and <R. |
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| 10. |
8. A Feclanguial piovo. Find the perimeter of a rectangle whose area 2600 m2 and breadth 50 mtonglo if its lennth and breadth both are trebled? |
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Answer» Given : Breadth = 50 mArea = 2600 m²Area of recatngle = Length × BreadthLength × 50 m = 2600Length = 52 mSo Perimeter of recatngle = 2×(Length + Breadth) 2× ( 50 + 52 ) m = 204 m |
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| 11. |
10:Theperimeterofa rectangle is 90 cm and its area is 486 cm. Find the dimensions of thetangle.11 Which term ofthe AD. 2 1 7 20 |
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Answer» Length=LBreadth=BPerimeter of rectangle=2(L+B)=90L+B=45Area of rectangle=L*B=486; B=486/LL+486/L=45Take LCML^2+486=45LL^2-45L+486=0L=(45+-((45)^2-4(486))^.5)/2L=27,18B=486/L=27,18So dimensions are 27cm and 18cm I don't understand |
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| 12. |
2. In APOR, LQ =-ZP and <R-ZP. Find LP, LO and LR.42 |
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| 13. |
B) A semicircle is divided into two sectorswhose angles are in the ratio 4:5. Findthe ratio of their areas?A) 5:1 B) 4:5 C) 5:4 D) 3:4 |
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Answer» the ratio of their areas are 5:4 5:4isaanswerjaneejhejeshusie 5:4 yshshsuisiejjdidwiidididh I think...5:4 will be the crct ratio the ratio of their areas are 5.4 the right answer is the 3rd |
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| 14. |
8. दो वृत्तों के क्षेत्रफलों का अनुपात 4:1 है, तो उनकी त्रिज्याओं का अनुपात है-Areas of two circles are in the ratio 4: 1. then their radii are in the ratio of(B)2:1(A)4:1(C) 12(D)1:4 |
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Answer» 2: 1 is the best answer 2:1 is the correct answer let radius of 1st circle =4xradius of 2nd circle=xarea of 1st circle : area of 2nd circleπ(4x)^2 : π(x)^216x^2 : x^216 : 1 sorry wrongly posted1st circle area/2nd circle area=4/1let radius are r1 and r2πr1^2/πr2^2=4/1r1/r2=√4/1 =2/1r1 : r2 = 2:1 it's b 2:1 is the correct answer |
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| 15. |
4mbeFind five rational numbers betweenand3. |
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| 16. |
) The ratio 4: 5 is greater than 3:4. |
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Answer» no the answer is wrong because 4/5 is less than 3/4 |
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| 17. |
Activity 1: To make a set of tangrams by paper folding using 8x8 grid. |
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Answer» you will make telegrams of 8 into 8 gird |
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| 18. |
01, Prave that los(1).lo1に) lo11翯ト10+2.a |
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| 19. |
log xC.-a, atbt&,Prave tha2 at b |
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| 20. |
2) prave that Sine Jtcase) hasmaximum qlve atme3 |
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Answer» y=sinx.(1+cosx) dy/dx=sinx.(-sinx) +cosx.(1+cosx) = -sin^2x+cosx+cos^2x =-1+cos^2 x+cosx+cos^2x =2cos^2x +cosx -1 =2cos^2x+2cosx-cosx-1 =2cosx(cosx+1)-1(cosx+1) (cosx+1)(2cosx-1) For maxima or minima put dy/dx=0 ( cosx+1)(2cosx-1)=0 cosx+1=0 => x=180° 2cosx-1=0 =>cosx=1/2 or x=60° dy/dx=-sin^2x+cosx+cos^2x=cosx+ cos^2x-sin^2x dy/dx=cosx+cos2x d2ydx^2= -sinx-2.sin2x d2y/dx^2 (at x=180° )=0 d2y/dx^2 ( at x=60°) -ve ,there exist maxima at x=60°. Maximum value =sin60°(1+cos60°). = (3^1/2)/2 (1+1/2) =(1/4).(3)^3/2 , Like my answer if you find it useful! |
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| 21. |
2×2×2×2×2 |
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Answer» 2×2×2×2×24×2×416×46464 is right ans 64 is the right answer 2× 2×2×2×2 = 2^5= 32 is correct answer 64 is right answer....... =2×2×2×2×2=4×4×2=4×8=32ans. 32 is the answer of the question 64 is right answer corect it will be 2 to the power 5 which in turn is 32 2*2*2*2*2=32 is the right answer 32.is the correct answer 32 is the best answer. The right answer is 32 proof 2×2=4×2=8×2=16×2=32 =2×2×2×2×2=4×4×2=16×2=32 is the correct answer 32 is the answer right only 2×2×2×2×2 = 32 is right answer 2*2*2*2*2 = 2^5 =32 is the answer 2*2*2*2*2=32 is the right answer 2×2×2×2×22×2=4×2=88×2=16×2=3232is the right answer of your question 2×2×2×2×2=2^5=32so, 32 is the right answer 2×2×2×2×2=32 is the right ans 2×2×2×2×24×2×416×46464 is a right ans 2×2×2×2×2=2^5= 3232 is the answer 2×2×2×2×2 = (2)^5 = 32 |
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| 22. |
The vortues of a triange av (423) (7,-1)- and (973) prave that the tangleisoceles triangleB |
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| 23. |
QU2: PORS is a parallelogram. The bisectors of LP and LQ meet at o.Prave that LPo0-90. |
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| 24. |
.24. If sindq, then tan A is equal to:p and cosA=q , then tan A 1s equal to :sin Bcos B 1± qy_(D) of these |
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| 25. |
3. If \tan N=\frac{\operatorname{stan} \alpha}{1+(1-n) \tan ^{2} \alpha} \text { then } \tan (\alpha-\beta)=A)(1+n) \tan \alpha B)(1-n) \tan \alpha C)-(1+n) \tan \alpha D)-(1-n) \tan \alpha |
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| 26. |
2. From the following find selling or cost price as the case may be(a) CP = 850 , Profit =(c) CP 20,500 Loss25(b) SP =(d)SP12,250 Loss-き10051005 Profit=き21051225 |
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Answer» CP=850 profit=25 so SP=850+25=875 SP=12250 loss=1005 so CP=12250+1005=13255 CP=20500 loss=1225 so SP=20500-1225=19275 SP=1005 profit=2105 so CP=1005-2105=-1100 |
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| 27. |
A man riding a bicycle, completes one lap of a circular field along its circumferenceat the speed of 79.2 km/hr in 2 minutes 40 seconds. What is the area of the filed ?W 985600 sq metre2) 848500 sq metre3) 795600 sq 'metre4) Cannot be determined5) Other than those given as options |
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Answer» 985600 sq metre the answer speed= 79.2 km/hr = 22 m/stime= 2 min 40 s = 160 sdist= speed x time2 x 22/7 x r = 22 m/s x 160 sr= 22 x 160 x 7/22 x 1/2r= 560m [ radius ] Area: (22/7 * r²) 22/7 * 560 *560 = 985600 m² [ans.] (1) is correct option 5) is the correct answer The correct answer is 985600 The correct answer is no 1 |
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| 28. |
Find the simple interest onAlso find the amount.2.8600 from 18th October, 2006 to 13th March, 2007 at 8% per annum3. Ashish lent10500 to Sunidhiat n, nser anF woose Sunidhi discharged |
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| 29. |
What least number must be subtracted from 13601 to get a number exactly divisible by 87? |
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| 30. |
9. What least number must be added to 1056 to get a number exactly divisible by 23?lih 16 |
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| 31. |
6. What least number must be subtracted from 18265 to make it a perfect square?..ՐԸ: |
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| 32. |
The length of base and height of a triangle are in the ratio 4:5. If the area of thetriangle is 40 sq. metre, find the length of its base and height. |
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| 33. |
MATHEMATICS VII PART -IPOLYNOMIALSIf ar +bx+cr+d is divided by (x +2), the coefficients of quotient are 4, 5, 6 and the remainder iszero, then the polynomial isG 1 |
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Answer» Given the coefficients of quotient are 4,5 and 6 . From, the three coefficients and given form of dividend, we can say that the degree of quotient is 2. Hence the quotient becomes 4x² + 5x+6.since the remainder is zero.Since, dividend = quotient*divisor + remainder The polynomial = (x+2)(4x² + 5x+6) + 0= 4x³+13x²+16x+12 |
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| 34. |
nd i3 aretwo zeros of the quadratic polynomial ffs)bx+ c find the value ofand 13 are |
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Answer» thanks |
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| 35. |
If one zero of apolynomial x2+bx+c is-273 then the value ofcis. |
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Answer» Let m and n are zeroes of x^2 + bx + c = 0 Given,m = - 2 root(3) Sum of zeroes = cm + n = - b-2root(3) + n = - bn = 2root(3) - b...... (1) Product of zeros = cm*n = c-2root(3)*n = c.......(2) Put value of n from eq(1) in eq(2), we get-2root(3)*[2root(3) - b] = cc = - 4*3 + 2b root(3)c = 2b root(3) + 12 |
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| 36. |
\begin { equation } \frac{\cot \theta+\csc \theta-1}{\cot \theta-\csc \theta+1}=\sec \theta+\cot \theta \end { equation } |
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Answer» The last part is cos theta / sin theta + 1/ sin theta = sec theta + cot theta= RHS |
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| 37. |
tone youd of polynomial ax +15x+b isreciprocal of the other, then findthe value of a'. Also findzerves of the polynomial. |
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Answer» let p and 1/p are the zeros product of zeros=C/ap×1/p= b/a1=b/aa=b |
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| 38. |
222222 )m) n |
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| 39. |
If 3 is subtracted from numerator and 2 added to the denominator, the fraction wĹš and if 4 is subtracted from numerator and 2 is subtracted from denominatfraction will be 1. Let us construct the equation of the statement and wrifraction by solving graphically. |
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| 40. |
15 \frac { ( 2 ^ { 2 } ) ^ { 2 } } { 2 ^ { 2 ^ { 2 } } } = |
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Answer» 2^2*2^2/2^2^2=4*4/4*4=1 |
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| 41. |
Simplify:Subtract 1+x^2+y^2 from the sum of x^2-y^2 and 1-x^2-y^2. |
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| 42. |
Simplify:Subtract 1+x^2+y^2 from the sum of x^2-y^2 and 1-x^2-y^2 |
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Answer» sum of(x²-y²) + (1-x²-y²) = 1-2y² Now subtraction(1-2y²) - ( 1+x²+y²)1-2y² -1 -x² -y²-x²-3y² |
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| 43. |
find the total surface area of closed box of wood whose dimensions are 2 metre, 1.5m and 80cm.Find the cost of wood used to make it of ₹120. 55 per metre |
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| 44. |
Subtract:(1) 28 from -42(iv) -66 from-34(vii) -64 from O |
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Answer» -42 - 28 = -70 -34 -(-66) = -34 + 66 = 33 0 - (-64) = 0 + 64 = 64 |
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| 45. |
The sum and product of quadratic polynomial is (p)=ax²+bx+c are -3 and 2 respectively.show b+c=5a |
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Answer» As sum of roots = -b/a= -3b= 3anow product of roots= c/a= 2c= 2anowb+c= 2a+3a= 5athanks yes it is correct answer |
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| 46. |
632-+30 +2=95+2=Using a 10 x 10 grid, add33 +22=57 + 25 =63 + 36 = |
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Answer» Correct answer is 5582 99 33+22=55 57+25=82 63+ 36=99 30+20+5=55 60+20+2=82 60+30+9=99 33+22=5557+25=8263+36=99 |
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| 47. |
What least number must be subtracted from each term of the ratioratio 3 : 4?subtracted from each term of the ratio 15 : 19 to make the |
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| 48. |
21. If α and β are the zeros of the quadratic polynomial f(x)ax, bx + c, then evaluate:1) α(ii)42 |
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| 49. |
4.89.10.11.of a container which can measure the petrol of either tanker in exact numberspeuvely find the maximumof times.Sher that any positive add integer is of the form 4m + 1 or 4m +3, where is someinteger.Bare the zeroes of the quadratic polynomial f (x) = ax + bx + c, thenevaluate 0+4+Ouadratic polynomial 2x3x1 has zeroes as a and B now from a quadraticpolynomial whose zeroes are 30 and 3B.When a polynomial 6x + 8x + 29x + 21x + 7 is divided by another polynomial3x2 + 4x + 1 the remainder is in the form ax + b find a and b.If the polynomial x + 2x + 8x + 12x + 18 is divided by another polynomial x? +5.the remainder comes out to be px +4, find values of p and q.For what values of p and q will the following pair of linear equations has infinitelymany solutions? 4x + 5y = 2: (2p+79) + ( +84)y - 24-p+1Solve the following pair of equations for x and y: - = a + b; ax -- by = 2ab8 men and 12 boys can finish a piece of work in 10 days, while 6 men and 8 boys canfinish it in 14 days. Find the time taken by one man alone and that by one boy alone tofinish the work.The sum of the numerator and denominator of a fraction is 12. If 3 is added to both thenumerator and the denominator the fraction becomes Find the fraction.A man travels 600km partly by car. It takes 8 hours and 40 minutes. If he travels320km by train and the rest by car. It would take 30 minutes more if he travels 200kmby train and the rest by car. Find the speed of the train and the car separately.For what value ok will the following pair of linear equations have no solution?2x + 3y = 9; 6x + (k-2) y (3k - 2)Find the value of a and b for which the following pair of linear equations has infinitelymany solutions: 2x + 3y = 7; (a + b) x + (2a - b) y = 21Solve the following pair of equations12.13.14.15.16.+ = 4, y= -217.Solve the given quadratic equation for x : 9x°-9 (a+b)x+ (22? + Sab +2b7) -0.LE2x2702 |
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Answer» 10/x+y + 2/x-y=4; 2(x+y)+10(x-y)=4; 2x+2y+10x-10y=4; 12x-8y=4; 15(x-y)-5(x+y)=-2; 15x-15y-5x-5y=-2; 10x-20y=-2; 5x-10y=1; 12x+8y=4; 3x+2y=1; 15x+10y=5; 5x-10y=-1/10x=6; x=6/10=3/5; 3(3/5)+2y=1; 9/5+2y=1; 2y=-4/5; y=-4/5×2=-2/5 |
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| 50. |
if one zeroes of the polynomial ax³+bx²+cx+d is zero than find the product of other two zeroes? |
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Answer» thx |
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