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.
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28. If the vectors 2 +a+and 4i-2j-2k are perpendicular to each other then value of a is - a) 3, b) 5, c)-3.d) 4 |
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Find the deivatve of h with respect to xve ofwith respect to X.ax +b |
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Answer» Consider y=1/(ax²+b) Using division rule of derivative dy/dx=0-1*(2ax)/(ax+b)² dy/dx=-2ax/(ax+b)² |
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| 3. |
: At Ahmed's birthday party, 5/7 part of the total cake was distributed. Pka is lee? |
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| 4. |
5 Subul alleu llUll lee liries a TUITIVE, We result 15 10. TimeFind the number which when multiplied by 5 is increased by 100.boiei |
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Answer» 5×20=100so 20 is correct |
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| 5. |
Maths:0I. If5x be the supplementary angle of x", then find xlee differ by 44, find the a |
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Answer» its supplementary angle so addition is 180 5x + x = 180 6x = 180 x = 30 |
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| 6. |
Multipleleeduestions(MCQs)curved surface of a cylindrical pillar is264 m2 and its volume is 924 m3. The diameterof the pillar is(a) 5 m(c) 10 m(b) 9 m(d) 14 m |
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Answer» Given : CSA of cylinder = 264 m² and volume of cylinder = 924 m³CSA of cylinder = 2πrh264 = 2*22/7*r*hr*h = (264*7)/44r*h = 1848/44r*h = 42h = 42/r ......(1)Now,volume of cylinder =πr²hPutting the value of h = 42/r in the below, we get924 = 22/7*r²*42/r924r = 924*7r = 7 mSo, Radius is 7 m and the diameter will be 7*2 = 14 m.And the height of the cylinder = 42/7 = 6 m |
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| 7. |
Ans.7. Find out equivalent fractions by multiplying an1x27x2-ha} = x2Ox)(i)vnСс Сс Ср=xcilinns.nderstanding of th |
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Answer» which question do I answer (I). 2/14(ii) 4/14(III). 15/45 correct answer for this question (i) 2/14(ii) 4/14(iii) 15/45 is the best answer. 1)2/142)2×2/7×2=4/143)5×3/15×3=15/45 2/144/141is the right answer I) 2/14ii) 4/14iii) 15/15=1 answer. |
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| 8. |
guei-T 0301i )8 ०9809 6 ०98 + |9 109 0o |
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Answer» GIVEN:- tanθ/(1 - cotθ) + cotθ/(1 - tanθ) => tanθ/(1 - 1/tanθ) + (1/tanθ)/(1 - tanθ) => tan²θ/(tanθ - 1) - 1/tanθ(tanθ - 1) => 1/(tanθ - 1) { tan²θ - 1/tanθ } => 1/(tanθ - 1) { (tan³θ - 1)/tanθ) [as, a³ - b³ = (a - b)(a² + b² + ab) => {(tanθ - 1)(tan²θ + 1 + tanθ)}/{(tanθ - 1)(tanθ)} => tanθ + cotθ + 1 => sinθ/cosθ + cosθ/sinθ + 1 => (sin²θ + cos²θ)/sinθ . cosθ + 1 => 1/sinθ . cosθ + 1 => cosecθ . secθ + 1 |
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| 9. |
1242 for a fan which includes an 8% tax on it. Find the selling price (withoutA shopkeeperchargestax) of the fan.18. |
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Answer» 1242 is included taxso without tax price is 1242/1.08=1150 |
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| 10. |
sin 0 g 1+ cos 0O!'i . |[+ 0059 5110 = 2cosec O |
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Answer» hit like if you find it useful |
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| 11. |
RA 3 hirgedprla bolic A91cAo. ĺan Ltcm and 9Çse.30 Kn, /m oven it's night half.a e sp an, finddiymoment NosmaL thu and Radial shear at |
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| 12. |
onisIn rhombus PQRS, ZPQS 30Find ZQSR and ZQRS.0olaram? Why? |
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| 13. |
13.log, ay-z(A) 2loge b_log. C, then ap-3-22-***-xay is equal toz-x X-y(B)0(C)1( |
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| 14. |
v.-5:105)/LEE() |
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Answer» 3A= { 6,12 9,18} 3A-B= {6-(-2) ,4-5 3-3,. 2-4} = { 8,-1 0,-2} |
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| 15. |
lee asa--+포Sign of ParenGuard |
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Answer» 40-48+28-22/60=68-70/60=-2/60=-1/30 |
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| 16. |
shouldlee5 what numberto get 1?addedto -3 |
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Answer» 1 - (-3/5)=1 + 3/5 = (5+3)/5=8/5 the answer is 8/5 okkkkk |
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| 17. |
(4x2-8x+4 |
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Answer» 4x^2-8x+4=4x^2-4x-4x+4=4x(x-1)-4(x-1)=(4x-4)(x-1) |
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| 18. |
15.9-4x2 |
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Answer» please like the solution 👍 ✔️👍 |
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| 19. |
Find thu valiaf x |
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Answer» any value having power 0 is 1 so here 2 power 0 is 1so (1-1) × 1= 0 |
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| 20. |
USTRATION 2 The sum of the series2+...0o,1Sa2 a(b) loge ala loge ba-b(d) log, 2bc) loge |
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| 21. |
x/sxlog x=21=loge-42x716gy1 == 2log & Mogy,15 If sty=25xy then prove that blog (Setylen+ loge tegy,pien that |
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Answer» x²+y²=25xyadding 2xy on both sidesx²+y²+2xy=27xy[x+y]²=27xytaking log on both sideslog[x+y]²=log27xy2log[x+y]=log3³+logx+log y2 log[x+y]=3log3+logx+logy |
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| 22. |
e*et23.If f(x)=, then the inverse function of s(x) isVIa) loge ( +vr* +I) bloge Vx +1c) log, CaVa-1) d) log, r-Vx2-1) |
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| 23. |
1 loge +)-2logs |
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| 24. |
22. Find the equation of the curve which satisfies the differential equation (1 + y)dy + (1 + x)dx=0and passes through the origin. |
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> pǐnr:芢in kilograms l t cm s of iron weigThe area of a chs 8 grams.41 ourtyard is 3750 m*.「covering it with gravel to a leight ofFind the cost oI cn if the gravel costs6.40 per cubte metre.hall of Ieneth 16 m, breadth 12.5 mand |
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| 26. |
From the information given in the figure,find the value of x and also sides AC and BC. |
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| 27. |
on petrol remains constant3, John weigLee weighs 190% ofJohn's weight. Which of these 5 persons weighs the least?hs twice as much as Maria Maria's weight is 60% of Bob's weight. Dave weighs 50% of Lee's weight. |
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| 28. |
tightly stretched and tied from the top of a verticalpole to the ground. Find the height of the pole, ifthe angle made by the rope with the ground level is30° (see Fig. 9.11). |
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| 29. |
2% of the tax payable.161) A vertical pole and a vertical tower are on the same level ground. From the top of the pole theangle of elevation of the top of the tower is 600 and the angle of depression of the foot of the tower141is 30. Find the height of the tower if the height of the pole is 20 m. |
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Answer» thanks |
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| 30. |
s ACCTV Camera has to be placed at the top of 12 m tall vertical pole. Signal is placed at a distance of 5 m from the fook ofpole Find that by how much distance signal can be seen from top of the pole? |
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| 31. |
The ratio of the length of a vertical pole and its shadow on the ground is 7 : 2. Find thelength of the pole if the length of the shadow is 2.4 m.. |
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Answer» Given the ratio of the length of a vertical pole and it's shadow on the ground is 7:2. we have to find the length of pole if the length of shadow is 2.4 As, Ratio of length of vertical pole and its shadow is 7 : 2 Let the length of vertical pole is 7x m and the length of shadow is 2x m As given the length of shadow=2.4m i.e 2x=2.4 ⇒ x=1.2 m Hence, the length of pole is 7x=7(1.2)=8.4 m Length of pole is 8.4 m Lengey of pole is 8.4 m.correct answer |
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| 32. |
The ratio of the length of a vertical pole alength of the pole if the length of the shadow is 2.4 m.nd its shadow on the ground is 7 : 2. Find the |
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Answer» Ratiooflengthofverticalpoleanditsshadowis7:2 So,Iflengthofpole=7mThenlengthofshadow=2m Now,Lengthofshadow=2.4mlengthofpole=2.42×7=1.2×7=8.4m(ANS) |
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| 33. |
(1) From the information given in the figure,find the value of a and also sides AC and BC.3x2x |
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Answer» Sum of angles in triangle 3x + 2x + x = 180° 6x = 180° x = 180°/6 = 30° x = 30° So, angle A = 3 × 30° = 90° angle B = 2 × 30° = 60° AB = 5 cm tan (B) = tan(60°) = AC/AB √3 = AC / 5 AC = 5√3 cmSimilarly, sin(B) = sin(60°) = AB/BC √3/2 = 5 cm/ BC BC = 10/√3 cm |
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| 34. |
(1) From the information given in the figure,find the value of x and also sides AC and BC.3x2x |
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| 35. |
(1) From the information given in the figure,3xfind the value of x and also sides AC and BC.2x |
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Answer» AC=5root 3 kase aale AC=5root 3 kase aale |
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| 36. |
sinloge (sec x + tan x) dx |
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| 37. |
बज= A o |Lan (L{LZO S ० उस |
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| 38. |
6. The mean weight of 10 boys in a cricket team is 65.5 kg. What is the total weigof 10 boys. |
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Answer» the answer is 655 kg Mean=Total/ Number of boys65.5=Total/10Total kg=65.5×10=655 kg yeh toh mere son on law ke bete ke course ka questin hai, woh 3 grade mein DPS INDIRA NAGAR GHAZIABAD MEON RAHTA HAIÝ Given,Mean weight of 10 boys = 65.5,Total weight of 10 boys = 655. Total number of boys=10mean=65.5kg65.5×10=65510boys weight=655kg |
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| 39. |
Q.15 If one of the zeroes of the quadratic polynomial(k-1) x^{2}+k x+1 is 3, then find the valueof k. How many zeroes can a quadratic polynomial have? |
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Answer» x=3 is the solution.so 9(k-1)+3k+1=09k-9+3k+1=012k=8so k=2/3-1/3*x^2+2/3x+1=-1/3(x^2-2x-3)=-1/3(x-3)(x+1) so possible another zero is -1 |
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| 40. |
3. If α and β are the zeroes of the quadraticpolynomial f(x) =x2-px + q, then find the valueof α2 + β2 |
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| 41. |
TA thu painton the graph of |
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Answer» put value 3,4 in the equation3y=ax+73*4=a*3+712-7=3a5=3aa=5/3 |
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| 42. |
Show thaA vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same timea tower casts a shadow 28 m long. Find the height of the tower15.ctively where |
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| 43. |
if 2 and -3 are the zeroes of the quadratic polynomialx2Q.5)(a-1) x + b; then find the values of a and b. |
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| 44. |
Solve the following questions (Any One(1) From the information given in the figure,Q. 6.find the value of x and also sides AC and BC.3x2x |
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Answer» Sum of all angles of triangle=180x+2x+3x=1806x=180x=30° A=90°B=60°C=30°base=5cm Cos30=AC/5√3/2=AC/5AC=5√3/2cm Sin30=(5√3/2)/BC1/2=(5√3/2)/BCBC=5√3cm |
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| 45. |
Q-7 Find the zeroes of the quadratic polynomial té – 36. |
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Answer» the answer would be t^2=36t=6 or -6 t²_36=0t²=36t= root 36t=+-6 -6 or 6 zeros hoga ok bhai The given polynomial have two zeros or roots. They are 6 and -6 The answer is t=6,t=-6 t2=36,t=✓36,t=6 yeh hai answer 6 We have to find t^2So, t^2 could be - 6 or +6 hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiooooooooooooooooo t2-36=0t2=36t=6,t=-6 36,-36 is the zeroes of that quadratic polynomial 6,-6 is zeros of that quadratic polynomial using (a^2)-(b^2) formulta(t+6)(t-6) =0 so the zeroes are +6 and -6 the correct value of t is 6 equalize given polynomial to zero then u will get +6,-6 as zeroes the answer would be +6 , -6 t^2=36t=+6,t=-6 aswer simply by t^2-36=0 above solve t²-6²(t-6)(t+6)t=+6,-6 the zeros of the polynomial is 6 or -6 zeros 6,-6 ..................... The zeros of t²-36 is ± 6 t²- 36or t²= 36t = √36t = 6 or t = -6 t²-36=t²-6²=(t+6)(t-6)t+6=0,t-6=0t=-6&t=6. +_6 is the answer. of quadratic equations answer zeroes are +6 and -6 t= +/- 6 this is the value of t zeros of the given quadratic polynomial are +6,-6. answer is 6 of this question t^2-36=0t^2=36t=√36t=6 t2-36=0t2=36t=+-36 +6and -6are the zeros +or-6 is the correct answer to this question here quadratic polynomial is t^2-36=0t^2=36t=✓36 (the number can be -ve or +ve) so answer will bet=+6 or t=-6 t=+- 6 are the zeros of this question answert²-6²(t+6)(t-6)t+6=0t-6=0t=+6t=-6 t= -6 or 6 put the value in question (t2) -36 (6)2-3636-36=0 so guy's my answer is the right thing so please like the correct answer is +6 or -6 t^2=36t=+6,-6 are the zeros of above equation .. let the value of 't' be 6then ,=(6)²–36 = 0 =36 –36 =0So, the required zero of the given value is 6 roots= +6 and -6 t²-36=0 t² = 36 t= underroot 36 t= +(_)6 It's answer is 6 as we put the value t=6 it will result in zero zeroes of equation t²-36=0 is t = 6 and t = -6 T^2-36=0T^2=36T=sq. Root 36T=6 the answer would be ^2=36. t=6 or-6 6 will be the zeroes of polynomial 6 and -6 are the zeroes of the polynomial iska answer +-6 hoga |
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| 46. |
Solve the following questions(a) 4.3 + 43 + 2.43-3.7(c) 4.8 + 482-4.048le) 5.5 + 0.55-0.077-0.0011(b) 33-3.3+3.03-3.003(d) 53.68 + 53-0.089-0.008(6) 28.08-2.22-3.32-4.24 |
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Answer» thku |
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| 47. |
290Q.6. Solve the following questions. (Any one)Marks 3]and x, x +2, x +y,(1) If the savings of two friends A and B are in A.P. as x, x 1, x +2,,respectively. Explain who saves more in one month. |
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Answer» A savings in a month is equal to30x+(1+2+3+.........+29)=30x+29/2(1+29)=30x+435B savings in a month is equal to=30x+(2+4+6+..........+58)=30x+29/2(60)=30x+870so by this we can conclude that B saves more tnks |
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| 48. |
6. If α and β are the zeros of the quadratic polynomial f(x)-r-p-q , then evaluate(iii){ α 4 + β+(b) (i) ort.+ or |
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| 49. |
-lan |
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| 50. |
Lan loge |
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Answer» using L.H rule , lim x→1 d(lnx)/dx÷d(x-1)/dx = 1/x/1 = 1 |
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