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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. |
A 20 cm long capillary tube is dipped in waterThe water rises upto 8 cm. If the entirearrangement is put in a freely falling elevatorthe length of water column in the capillary tubewill be |
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| 2. |
19. The thickness of a metallic tube is 1 em and the inner diameter of the tube is12 cm. Find the weight of 1 m long tube, if the density of the metal is 7.8 g/em3 |
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Answer» Inner radius,r=12/2=6cmthickness=1cmso,outer radius,R=6+1=7cmheight,h=1m=100cmvolume=pi×(R^2-r^2)×h=22/7×(7^2-6^2)×100=22/7×(49-36)×100=22/7×13×100286/7×100=28600/7since,density=7.8gm/cm^3also,weight=volume×densityweight=28600/7×7.8gm=31460gm or,31.46 kg |
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| 3. |
In figure if AD=6cm, DB-9cm, AE 8cm and EC 12em and LADE - 48. Find ZABC480 |
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| 4. |
If the vertices A, B, C of a triangle ABC are (1,2,3), (-1, 0, 0), (0,1, 2) respectively, then find ZABC. (ZABC is the angle betweenthe vectors BA and BC). |
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| 5. |
3 marks each3. Attempt the following110°130In the figure, ZABC and ZBDE are exteriorangles of A BCD. If ZABC 110°BDE - 130°, then find the values of x, y and a. |
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| 6. |
In figure if AD-6cm, DB-9cm, AB-8cm and EC = 12cm and <ADE-480. Find. ABC480 |
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Answer» if AD/BD = AE/ECthen, Line DE||BClet's check, AD/BD=6/9=2/3& AE/EC=8/12=2/3by above, AD/BD=AE/ECso, DE||BC<B = <Dso, <B = <48° {Answer} |
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| 7. |
ZABC = 95°, ZACB = 359 Find 2BDC. |
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| 8. |
P.2. In the figure, PQ = RS and CRS-480Find OPQ and ZROS00 |
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| 9. |
"Pawan Medical' supplies medicines. On some medicines the rate of GST is 12%, then what is the rate of CGST and SGST? |
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Answer» Total rate of GST = 12% Rate of GST is shared equally between CGST and SGST therefore CGST = SGST = 12/2 = 6% |
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| 10. |
l. ¡Pawan Medical, supplies medicines. On some medicines the rate of GSTis 12%, then what is the rate of CGST and SGST? |
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Answer» CGST = SGST = 0.5* GST=> CGST = SGST = 0.5*12 = 6 % PLEASE HIT THE LIKE BUTTON |
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| 11. |
¡ 'Pawan Medical, supplies medicines. On some medicines the rate of GSTis 12%, then what is the rate of CGST and SGST? |
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Answer» GST is composed of CGST and SGST in equal ratio.GST on medicines = 12%Then,CGST = SGST = 6% |
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| 12. |
Practice Set 4.1Pawan Medical' supplies medicines. On some medicines the rate of GSTis 1200, then what is the rate of CGST and SGST? |
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Answer» Gst comprises of SGST State GST and CGST Central GST GST = 12%SGST is equal to CGSTCGST = SGST = 6% |
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| 13. |
If a x) + ь x2 + x-6 has (x +2) as a factor and leaves a remainder 4 when divided by (X-2). Find thevalues of a and b.OR |
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| 14. |
If +^{1+1} P_{18} :^{n-1} P_{16}=420 : 1, then find the valueof n. |
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| 15. |
6. Find n \text { if }^{n-1} P_{3} : " P_{4}=1 : 9 |
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Answer» 1st part |
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| 16. |
90. A doctorFind the total weA 5540 gC4505 gstor recommends a patient to consume the given medicines on each day of a weekhe total weight of medicines consumed by the patient in a week.B. 5440 gP. 4550 g500g 150 gACHIEVERS SECTION |
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Answer» (500 + 150)7 = 650 × 7 = 4550 g option c is the right answer 650*7=4550g is the best answer |
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| 17. |
hind the value ofrandy in the following |
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Answer» Sister kya likha hai photo clear send karo |
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| 18. |
. In the given figure what2AP丽?PBis the value of |
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| 19. |
hindthe value of nin equatima 62+1 |
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| 20. |
(B) 72ăCD) 14ĺ¸C) 13o |
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Answer» 1 ^ 3 + 1 = 1 * 1 * 1 + 1 = 2. 2 ^ 3 + 2 = 2 * 2 * 2 + 2 = 10. 4 ^ 3 + 4 = 4 * 4 * 4 + 4 = 68. 5 ^ 3 + 5 = 5 * 5 * 5 + 5 = 130. |
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| 21. |
Q14. State and prove the Pythagoras theorem.in right&ACB, if CD」-AB and AB = c, BC = a, CA = b and CDp,Then show that |
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| 22. |
22Find the eccentricity of the ellipse169 144 |
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Answer» ecventricity=c/ac=5 a=13ans is 5/13 |
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| 23. |
6 The Fibonacci sequence is defined by aa1 and a, a +a-2,n 2,Find lfor n 1,2, 3, 4, 5n+12nn+ Fin |
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| 24. |
If a x2+ b x2 + x-6 has (x + 2) as a factor and leaves a remainder 4 when divided by (X-2). Finvalues of a and b.. |
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Answer» ax3+bx2+x-6 |
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| 25. |
ingappropriate properties fin3 5 25 6the additive inverse of earite |
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Answer» -2/3×3/5 +5/2 -3/5×1/6= 3/5*(-2/3-1/6) +5/2= 3/5*(-4/6-1/6) +5/2= 3/5*(-5/6) +5/2= -1/2 +5/2= 4/2 = 2 |
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| 26. |
quadrilaterals with the measurements given below:(a) Quadrilateral HELP withHE = 6cm, EL = 45 cm, <H-600, LE>105° and LP-120° |
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| 27. |
In figure if DEIIBC,find the ratio of ar(AADE) to ar(AABC). |
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| 28. |
PB 427hind value |
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Answer» p^3+27; p^3=-27; p^3=(-3)^3; p=-3 |
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| 29. |
Q.22) In the figure, LABC 69 and ZACB31. Find LBDC16931 |
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Answer» thank you so much |
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| 30. |
0:309,5 ) are collinear.Find the roots of the quadratie equation 9x - 9(a+b)x+ (2x + 5ab + 26method.-0. by factorization8×4=32 |
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| 31. |
15. In the given figure, if LADE = <B, show that A4DF-A4BC. IfAD-3.8 cm, AE = 3.6 cm,BE-2.1 cm and BC- 4.2 cm, find DE. |
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| 32. |
ent, re = 0.18 cin and PF-0.36 cm.ORD is a point on the side BC of a triangle ABC such that ZADC- BAC. Show that CA21. A die is thrown twice. What is theCB CD |
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Answer» Like if you find it useful |
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| 33. |
A capillary tube of radius 0.20 mm is dipped vertically in water. Find the height of the water column raisedin the tube. Surface tension of water 0.075 N/m and density of water 1000 kg/m2. Take g =10 m/s2 andcontact angle 0° |
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| 34. |
1. Find the volume, curved surface area and total surface area of each of the cylinders whosedimensions are:(i) radius of the base7 cm and height50 cm |
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| 35. |
In the figure, area of A ABC is .....6cm45 |
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Answer» here the triangle is a right isosceles triangle. so area = 1/2×6×6=18sq cm 3×6=18sq cm the triangle of is this 3×6=18sq c.m the triangle of this here the triangle is an rightangle isoseloua triangleso,the two sides are equaltherefore,AC=BC=6cmarea of triangle ABC=1/2*6*6=18 cmsquare 45 degrees is the correct answer 18 sqcm is the correct answer in the figure area of 🔺ABC 18 |
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| 36. |
B. In the given figure DEIIBC then find AD.A2cm6cm,4cm |
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Answer» Answer is 3Because AD/DB=AE/ECAD/6=2/4AD=12/4AD=3 By Basic Proportionality Theroem- AD/DB = AE/EC putting the values given in the fig. AD/6 = 2/4 by cross - multiplication, 4AD = 12 AD = 12/4 AD = 3 therefore, AD = 3 since DE//BCTherefore using Thale's theorem we getAD/DB=AE/ECAD/6=2/4AD=(2x6)/4AD=3cm is the correct answer 3 Is the correct answer of the given question let AD=XBY THELES THEOREMSAD/AB= AE/ACX/X+6= 2/66X= 2X+126X-2X= 124X= 12X= 12/4=3cmAD= 3cm By Using Thales Theoram, AD AE x 2------ = ------ => ------ = ------ AB AC x+6 6 => 6 ( x ) = 2 ( x+6 )=> 6x - 2x = 12=> 4x = 12 12=> x = ------ = 3cm 4 AD/DB=AE/EC (By B. P. T) AD/6=2/4 ( cross multiply)4AD=12AD=12/4=3then AD=3 |
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| 37. |
21. If α, β are rots of the equation ax2 + bx + c =0, then theequation whose roots are 2 α + 3 β and 3 α + 2 β is(a) ab x(a b) cx (a by 0(b) acz?-(a + c) bx + (a + c)2 = 0(c) ac a+ o)bx (a + o) bx (a 0(d) none of these |
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Answer» bro i want the equation whose roots are the following |
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| 38. |
figure if AD-6cm, DB-9cm, AE-3cm andEC-12cmandZADE=48Find LABC- 1- |
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Answer» Given : In ∆ABC, AD = 6 cm , DB = 9 cm, AE = 8 cm , EC = 12 cm and <ADB = 48° Now , AD/DB = 6/9 = 2/3 ---( 1 ) AE/EC = 8/12 = 2/3 ---( 2 ) From ( 1 ) & ( 2 ) , AD/DB = AE/EC Therefore , DE // BC [ By ,converse of Thales theorem ] <ABC = <ADB = 48° [ Corresponding angles ] |
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| 39. |
In figure ifAD= 6cm. DB-9cm, AE = 8cm and EC = 12cm and "ADE-48. Find- ABC5 |
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Answer» Thanks |
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| 40. |
y = e^x. cos bx second order diff. equation. |
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| 41. |
30., Solve the following equation for x:9x2- 9%a + bx + 2a2 +5ab 2b2 0 |
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| 42. |
a2 +ab + b2aba + bProve that x -is a solution of the equation bx- ay-b |
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| 43. |
test, though she has gotattempted incorrectly?An elevator descends into a mine shaft at the rate of 6 m/min. If the descent startsfrom 10 m above the ground level, how long will it take to reach - 350 m. |
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| 44. |
Sketch the graph of each line y=-4x +4 |
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| 45. |
A park in the shape of a regular octagon has flower bedFind the area of the flower beds and the area of the grassy portion. Atotal area of the parkb.s as shown in the figure.Flower bed22 mGrass26 m10 mFlower bed |
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| 46. |
3. Percentage increase in resistance by increasing length ofconducting wire by 0.3% is .....[A]2 [B]1 © (CO.2 (D0.6 |
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| 47. |
. If each exterior angle of a regularoctagon is 45e, then the interior angleof the octagon is |
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Answer» thanks a lot |
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| 48. |
igure if AD- 6cm, DB-9cm, AE 8cm and EC 12cm and ZADE 48. Find48° |
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| 49. |
आधारभूत आनुपातिकता प्रमेय एवं इसकेनीचे की आकृति ¥ LABC = ZADE, T x का मान ज्ञात कीजिए। . |
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| 50. |
30. In the given figure, AB- BC, AD CD. Prove that ZADE is a right angle and AE and EC are equal. |
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Answer» thank you |
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