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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. |
0"If AI:1,3-4then by principle of mathematical1 +2n -4ninduction show that, A -for alln 1-2nn E N |
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| 2. |
Complete the table by identifying any one pair of integers (a, b) that satisfies the givenThe first one is done for you.S.No.a = b-10(a)(b)(c) |
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Answer» (b) a= 12, b=3(c) a=-25, b=5(d) a= -12, b= 4(e) a= 45, b=9 |
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| 3. |
AB is diameter of circle (p, r) where A(-5, - 6), B(3, - 2) the co-ordinate of पी are ______. |
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| 4. |
A 32 अक N >253" a5 iy(8) ८ < 18 किन्तु ८ # 9. (b) a>18(c)ai=18 = d a=9 |
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Answer» Opti on- A Rationalizing the denominators,1/(2 - √3) = (2 + √3)1/(3 - √8) = (3 + √8)1/(4 - √15) = (4 + √15)Therefore, a = 2 + √3 + 3 + √8 + 4 + √15 = 9 + √3 + √8 + √15=> a ≠ 9 |
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| 5. |
3. Find the values of the following determinants :(2 marks each)5 2 - 5 21 4 -3NAco7Solutions : |
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Answer» (5(7)-2(6))=35-12=23, (ii)5(8)-2(3)=40-6=34, (iii)-28+6=-22 |
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| 6. |
4292cm92- 32cmQ. 6) Divide ::1) 604 = 15-46 |
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Answer» m cm 92 90-61 40------------ 31 50.------------- 92 cm-32cm--------- 6 0-------- 60 / 4 = 15is the answer correct answer... karuna |
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| 7. |
ck () the correct option.The perimeter of a rectangle, whose length is 30 cm and a diagonal is 34 cm, is(a) 136 cm(b) 92 cm(c) 46 cm(d) 80 a |
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| 8. |
Ques. Factorise it.. • x² + 2ab = (2a + b) x |
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Answer» Thanks |
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| 9. |
Ques 1. Factorise it.. (i) 4x² + 4bx - (a² - b²) =0 |
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| 10. |
Ques 1. Factorise it.. (i) 4x² - 4bx - (a² - b²) =0 |
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Answer» Factorization :4x² - 4bx - (a² - b²) = 04x² - 4bx + b² - a² = 0(2x - b)² - a² = 0Use x² - y² = ( x - y) ( x + y)( 2x - b - a) ( 2x - b + a) = 0 |
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| 11. |
Ques 3) If a, b, c, d are in G.P., show thatਮੈਚ 'ਸ਼ੇਰ are in G.P. |
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| 12. |
andthe9th terms of an AP are 4 and 3s respectively. whichs tegms of t9 If the 3which tegm dAP is zero?taeh term of an AP exceede i |
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| 13. |
Find the common difference of the AP √3,√12,,√18 |
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Answer» √3,2√3,3√3…….d1= 2√3-√3=√3d2=3√3-2√3=√3So Common Difference is√3 |
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| 14. |
t are in AP3. If a, b, c are in GP then show that logmlog,im' log,m are in AP. |
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| 15. |
ding by 3)e equations (1) and (2112)that both the equationsareThe solution of one equsatisfies other en.. TheatePage No |
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Answer» for this question here is no solution because 1/1=1/1≠5/7 |
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| 16. |
If three coplanar forces acting at origin are in equilibrium then which is correct |
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| 17. |
[T ko) B S S नरक जन ’lu e e "iif) ¢ - आंतरछेद 3 आणि फ- आंतरछेद - 5 असणात्या रेवेचे |
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Answer» समीकरण x / 3 + y / 5 = 1 असेल |
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| 18. |
Or-1+x) and verify your answer.27 The anglof the parallelogram is 45°. Find the angles of the Parallelogram.e angle between the two altitudes of a parallelogram through the vertex of an obtuse angle |
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Answer» In quad. DPBQ, by angle sum property we have ∠PDQ + ∠DPB + ∠B + ∠BQD = 360° 45° + 90° + ∠B + 90° = 360° ∠B = 360° – 225 Therefore, ∠B = 135 But ∠B = ∠D = 135 opposite angles of parallelogram As, AB || CD opposite sides of a parallelogram ∠B + ∠C = 180° sum of adjacent interior angles is 180° 135 + ∠C = 180° ∠C = 180° – 135° = 45 Hence ∠A = ∠C = 45 Opposite angles of parallelogram are equal |
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| 19. |
for what value of k the quadratic equation a2 _ ka + 1 = 0 has equal roots |
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Answer» Equation a^2 + ka + 1 = 0 has equal roots Then determinant should be equal 0. Hence,(k)^2 - 4*1*1 = 0k^2 = 4k = 2, - 2 |
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| 20. |
कि 0 ™Fan LU+ 4975 3v = =2 e b |
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Answer» tan^(-1)((2x+3x)/(1-6x*x)) = tan^(-1)(1) 5x/(1-6x*x) = 1 5x = 1-6x*x 6x*x+5x-1 = 0 6x*x+6x-x-1 = 0 6x(x+1)-1(x+1) = 0 (6x-1)(x+1) = 0 so x=-1 or 1/6 |
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| 21. |
|| रू 222 ८ ८ कौ VY| 2 ८2 दर 3220 /fi///m."LU 104 cps F10d Jniy 27 295 |
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Answer» Let radius of cylinder = 3xHeight of cylinder = 2xVolume of cylinder = pi*r*r*h = 22/7*3x*3x*2x22*18x^3 /7 = 1940418x^3 = 882*7/18x^3 = 343x = 7 Radius = 3*7 = 21 cmHeight = 2*7 = 14 cm |
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| 22. |
x. 36° more than four-fifths of its supplement |
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Answer» Let the supplementry angle is x => the other angle will be 4x/5 +36 so, ATQ X + 4X/5 + 36 = 180=> 9x/5 = 180-36 = 144=> x = 144*5/9 = 80° |
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| 23. |
le) (Write a C++ program to take three numbers from theuser and to find and print the largest number |
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Answer» int main() { float n1, n2, n3; cout << "Enter three numbers: "; cin >> n1 >> n2 >> n3; if(n1 >= n2 && n1 >= n3) { cout << "Largest number: " << n1; } if(n2 >= n1 && n2 >= n3) { cout << "Largest number: " << n2; } if(n3 >= n1 && n3 >= n2) { cout << "Largest number: " << n3; } return 0; } |
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| 24. |
DingWe have |
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Answer» We have (405)²-(395)²=(400+5)²-(400-5)²=4×400×5=8000 |
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| 25. |
Factorize :9x^2 +y^2 +z^2-6xy + 2yz - 6xz. Hence,find its value when x = 1, y= 2 and z =-1. |
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Answer» thanks yaar |
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| 26. |
3 32 - stveand y- t- de and findI value of a ty |
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Answer» x^2=(1+√2)^2=1+2+2√2=3+2√2y^2=(1-√2)^2=1+2-2√2=3-2√2hence add it3+3=6 |
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| 27. |
Find that non-zero value of k, for which the quadratic equation kx^2+ 1-2(k-1)x+x^2=0 has equal rootsHence, find the roots of the equation. |
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| 28. |
xD’y+(1- x)Dy – y=e", D =is :(A) (xD-1)(D+1)(B) (xD+1)(D-1)(C) (D-1)(xD+1)(D) of these |
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Answer» Option c(D-1)(xD+1) |
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| 29. |
take three-fourths of a number and add 3 to it, Ig |
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Answer» Suppose tht number = xNow3x/4+3Thanks 3/4 x+3=213x+12=843x=84-123x=72x =24 3/4x +3 =213/4x =21-3=18x=18×4/3x=6×4x=24 i already post it plz like and accept best answer 3x/4+3 this is the answer |
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| 30. |
X &1 Ty âŹVXD UIS |
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Answer» thank you |
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| 31. |
L % %9 Ne %L ७०% XD delde 12 °f5 |
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Answer» 960 = P×7×4/100 + P×5×4/100 960 = 0.28P + 0.20P 0.48P = 960 P = 960/0.48 = 960×100/48 = 2000 |
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| 32. |
xd |
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| 33. |
50. यदि 4 = 5,5* = 6, 6° = 7 तथा 74 = 8 हो, तो(d Xbxc Xd) = ?(एस०एस०सी० परीक्षा, 201 |
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Answer» 1680 answer of the oestion 5x6x7x8=30x56=180+150=1680 1680 is the correct answer of the given question The correct answer of the give question=1680 |
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| 34. |
volume d une spheleA metalic right circular cone 20 cm high and whose vertical angle is 60° is cutinto two partsof the middle of its height by a plane parallel to its base. If thefrustum so obtained be drawn in a wire of diametercm, find the length of the16wireLIDENT TASK |
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| 35. |
(iv) mEBF ifA =QB, and CD = EF.45-6x)XD |
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| 36. |
1..a) The absolute value ob) The reciprocal ofc) x2 = xD=1= x12d) 872-862 = .e) IfV625 = V5, then x equals................ |
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Answer» Akash -16/-19=8.5/4; b)3/-3.5, c)6, d) 7569-7396=173, e) x=4 |
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| 37. |
A number added to its three-fourths is equal to 91.Find the number. |
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Answer» x + 3x/4 = 91 7x = 364 x = 52 |
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| 38. |
in triangle ABC AD is the median ,shoe that AB²+AC²=2(AD² +BD²) |
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| 39. |
If I take three-fourths of a number and add 3 to it, I get 21. |
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Answer» let 3/4 x+3=213x+12=843x=84-123x=72x =24 3/4 x+3=213x+12=843x=84-123x=72x =24 |
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| 40. |
4. A number added to its three-fourths is equal to 91. Find the number.3 |
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| 41. |
6. A number added to its three-fourths is equal to 91. Find the number.202 |
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Answer» Let the number be x. Thus,x+3x4=91 4x+3x4=91 7x4=91 x=91×47=13×4=52 Therefore the number is 52. |
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| 42. |
A polyhedron is having 8 vertices and 12 edges. How many faces of it are there? |
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| 43. |
A polyhedron has 30 edges and 12 vertices. How many faces does this polyhedron have? |
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Answer» E +2 = F + V ( Euler's formula) 30+2 = F + 12 F = 20 Thanks. |
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| 44. |
Given Δ ABC ~ Δ PQR, if Rar Δ ABC1, then find ar Δ PQR |
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Answer» ΔABC ~ Δ PQR & AB/PQ = 1/3ar(ΔABC)/ar( Δ PQR )= AB²/ PQ² [The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.]ar(ΔABC)/ar( Δ PQR ) = 1²/3² [Given =AB/PQ = ⅓]ar(ΔABC)/ar( Δ PQR ) = 1/9Hence, the Area of ΔABC/Area of ΔPQR = 1/9 |
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| 45. |
AB 1PO 3Given Δ ABC-3PR.";i, then findar A ABC |
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| 46. |
AB 1ar A ABCGiven Δ ABC-JPOR, if PQ,then find ar Δ PQR |
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Answer» ΔABC~ΔPQRAB/PQ=1/3 The ratio of two similar triangles is equal to the ratio of square of its corresponding sides. Thus ar(ABC)/ar(PQR)=1/9 |
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| 47. |
AB 1ar Δ ABCGiven Δ ABC ~ Δ PQR, if PQ, then find ar Δ PQR |
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| 48. |
elevation of the top of the pedestal is 45. Find neg Ul E pUCThe angle of elevation of the top of a building from the foot of the tower is 30 andthe angle of elevation of the top of the tower from the foot of the building is 60°. I2 the tower is 50 m high, find the height of the building.7.the top of a 7 m high building, the angle of elevation of the top of a cable towerand the angle of depression of its foot is 45°. Determine the height of the toweris 60 |
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| 49. |
Cross Section of circularPiPe and cone with horizontaland Vertical cut: |
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Answer» Parallel means Horizontal cut and perpendicular is vertical cut thank you so much mister arinda |
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| 50. |
How many fourths are there in 3? |
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Answer» Dear studentThere3×11/4=3×4=12onefourthsin3 Dear studentThere3×1/(1/4)=3×4=12onefourthsin3 ans |
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