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. |
e. A hall, when it was filled, had 72 vacant seats, then the total nuhall are |
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Answer» 2/3 is filled so 1/3 is emptyand 72 are vacantso total capacity is 72*3=216 |
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| 2. |
3 उन 2.18 के सर इ३ DT O Ng o0 wen B ९ अंत का ; |
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| 3. |
पर B:- नया 8.C=42 ।(T A C22 17 |
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Answer» 12:20:35 is answer this question. |
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| 4. |
2) (o0 (e (o-0)* = (a-d)? |
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Answer» (b-c)^2 + (c-a)^2 + (d-b)^2 = (a-d)^2 Let a = p, b = pr , c = pr² and d = pr³ Now, LHS = (b - c)² + (c - a)² + (d - b)² = (pr - pr²)² + (pr² - p)² + (pr³ - pr)² =( p²r² + p²r⁴ - 2p²r³) + (p²r⁴ + p² - 2p²r²) + (p²r^6 + p²r² -2p²r⁴) = p²r^6 - 2p²r³ + p²= (pr³) -2(pr³)(p) + p²= (pr³ - p)²= (p - pr³)² =(a - d)² = RHS please like the solution 👍 ✔️ |
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| 5. |
50 subs AP0 el .o0 2/ 397 |
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Answer» X + y = 5 ( equation 1 ) 2x - 3y = 4 ( equation 2 )Now, multiplying (eq.1) by 2 and subtracting (eq.2) from ( eq.1 ) (2x + 2y = 10) - (2x - 3y = 4 )=> 2x + 2y - 2x + 3y = 6 => 5y = 6 => y = 6/5Putting the value of y in ( eq.1 )=> x+ y = 5=> x + 6/5 = 5 => x = 5 - 6/5=> x = 19/5Like my answer if you find it useful! |
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| 6. |
a mixture of milk and water contain 8 parts of milk and two parts of water find the percentage of milk and water in the mixture |
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Answer» Milk=7partswater =3partstotal parts =7+3=10 partspercentage for milk =7/10×100=70%percentage for water = 3/10×100=30% |
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| 7. |
y hat do you mean by free fallAN3 An obiect is saldl 6o the in tree tatl when it talls towa |
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Answer» In Newtonian physics,free fallis any motion of a body where gravity is the only force acting upon it. ... Thus,fallingthrough an atmosphere without a deployed parachute, or lifting device, is also often referred to asfree fall. when an object falls with constant acceleration under the influence of force of gravitation of the earth object is said to have free fall |
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| 8. |
10. A military camp has provisions for 630 men to last for 25 days. How many men must betransferred to another camp so that the food lasts for 30 days? |
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| 9. |
for 630 men to last for 25 days. In order to have the same food to last forhow many men must be transferred to another garrison |
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Answer» The garrison has provision for 630 men for 25 days. The same provision will last for one man for 630*25 = 15750 days Let the same provision can be consumed in 30 days by x persons thus, x = 15750/30 = 525 men Thus, the no of men required to transferred to another garrison = 630 - 525 = 105 men |
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| 10. |
कि AP WF ¥ RES20k Qo5 ZsY QRbID ' 459~ai =49 B1e ‘0:C 61... 1 |
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Answer» question is not completely visible in image. |
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| 11. |
What is the length of AB?3 cm4 cm6 cm |
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| 12. |
f the ratio of the areas of two similar triangles is 16:25, what is the ratio of thelrorresponding sides ?of the rectangle |
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Answer» = Area of triangle 1 / Area of triangle 2 = ( corresponding side / corresponding side )^2 = ( corresponding side / corresponding side )^2 = 4^2 / 5^2 = Corresponding side:corresponding side = 4 : 5. |
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| 13. |
on has provisions for 630 men to last for 25 days. In order to have the same food to last for 3A garrisonw many men must be transferred to another garrison ? |
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Answer» 25 days = Food for 630 men 30 days = x (Inverse variation) 30 * x = 630 * 25 x = 630 * 25/30 = 21 * 25 = 525 men. 630 - 525 = 105 men. Therefore, 105 men must be transferred to another camp so that the food lasts for 30 days. |
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| 14. |
Cheti 3Cat62343763 + 30blatb)(2+1) 32 (2x 3 + (13438 22x120x3+1f6&C2X+1) AngOct 17128246x free |
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Answer» ye to solve h krna kya h (2x+1)^3=(2x)^3+(1)+3(2x)(1)(2x+1);; =8x^3+1+6x(2×+1)= 8x^3+1+12x^2+6x=8x^3+12x^2+6x+1=0; |
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| 15. |
1 ^ { 3 } + 3 ^ { 3 } + 5 ^ { 3 } + \ldots \dots + ( 2 n - 1 ) ^ { 3 } = n ^ { 2 } ( 2 n ^ { 2 } - 1 ) |
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Answer» 1st 2nd |
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| 16. |
EXAMPLE 9find the value ofk.aAsaru,pa and are the zeros of he polyx2-5x + k such that α-β-1,-5x . k sach that α-5.1,maf(x)-r |
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| 17. |
23. Without actual division, prove that 2x*- 5x + 2x² - x +2 is divisible bu- 3x+2. |
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Answer» Factorize: x²-3x+2x²-2x-1x+2x(x-2)-1(x-2)(x-2)(x-1)Therefore,(x-2)(x-1)are the factors. i) (x-2)x-2=0x=2So,p(x)=2p(x)=2x⁴-5x³+2x²-x+2p(2)=2(2)⁴-5(2)³+2(2)²-2+2=32-40+8= -40+40=0Hence,it proves that (x-2) is a factor . ii) (x-1)x-1=0x=1So,p(x)=1p(x)=2x⁴-5x³+2x²-x+2p(1)=2(1)⁴-5(1)³+2(1)²-1+2=2-5+2-1+2=6-6=0Hence,it proves that (x-1) is a factor. Thus 2x⁴-5x³+2x²-x+2 is divisible by x²-3x+2 |
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| 18. |
bth (r-2)ard-l)are factors of pr2 + 5x 4 r, prove that P = r.Caeed actal dirisicn, prove that 2t-5r2-142 is divisib |
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| 19. |
distance=1.6km , time=5min , speed=? |
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Answer» speed=(1.6×60)/5 =19.2 km/h 19.2 km/h is the correct answer speed= distance /time=19.2km/h is the right answer 19.2 km /hour like like like like like like like like like like like like like like like like like like like like like like like like like like speed =distance /time.=19.2km/h is the right answer speed=(1.6×60)/5 = 19.2 km/h speed = dis /Timespeed = 1.6×1000m/5×60sec = 16000/300 = 53.33m/sec |
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| 20. |
0. 73. 12 men or 15 women can finish a work in 24 days. In how manyw many days thework can be finished by 8 men and 8 women? |
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Answer» fridge aur Balan Ek Jaise kaise hain 12 men = 15 women4m = 5 women put a value man10 women +8 women = 18 women15 w --- 24 daythen18 w = 24×1518= 20 days |
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| 21. |
A medicine capsule in the shape of a cylinder with two hemi spheres stuck to each of itsends. The length of the capsule is 14mm and the width is 5min find its surface area ? |
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Answer» 1 2 3 4 |
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| 22. |
, orking toggther?A. DandcC ean do a piece of work in 15, 12 and 20 days respeetvely They sarwá the work, B and C ean do a piece oftogether, but C left after 2 days. In how many days wilthe remaining work be compleud byA and 1?in |
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| 23. |
3. If ny + 4z +3*Âťfind payz gtman tatry |
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Answer» xy + yz + zx = 0 so yz = -x(y+z)x^2-yz = x(x+y+z) so 1/(x^2-yz) = 1/(x(x+y+z))similarlly1/(y^2-xz) = 1/(y(x+y+z))and1/(x^2-yz) = 1/(x(x+y+z))1/(z^2-xy) = 1/(x(x+y+z)) adding all 3 we get your expression 1/(x^2 - yz) + 1/(y^2 - zx) +1/(z^2 - xy) = 1/(x+y+z)/(1x+ 1/y + 1/z) 1/x + 1/y + 1/z = (yz+xz+xy)/xyz = 0 so1/(x^2 - yz) + 1/(y^2 - zx) +1/(z^2 - xy) = 0 |
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| 24. |
The angle of elevation of a jet plane from a point A on the ground is60. After a flight of 15 seconds, the angle of elevation changes to 30°.If jet plane is flying at a constant height of 1500/3 m find the speedof the jet plane in km/h. |
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Answer» why 200×18/5 |
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| 25. |
lfmean of 1, 2, 3,.. n is 16n/11 then find the value of n.If m |
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| 26. |
nyr6N0Define fginsi |
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Answer» Forgingis a manufacturingprocessinvolving the shaping of metal using localized compressive forces. The blows are delivered with a hammer (often a power hammer) or a die. ... For the latter two, the metal is heated, usually in aforge. Forging Operations: Drawing Up setting Fullering Edging Bending Punching Forged welding Cutting |
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| 27. |
1. Which of the following informations is required to construct a rectangle ABCD in which AB = 5 cm(a) ZA-90°(b) CD = 5 cm(c) AC - BD(d) BC = 4 cm |
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Answer» In rectangle, Opposite sides equaldiagonals are equaland each angle is 90°So, correct answer a, b, c |
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| 28. |
2lf-ath-14, express y in terms of x. |
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| 29. |
22,lf-/21.41, then-Tr =? |
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Answer» 1/1.41 = 0.7092 is the answer 1/root2On rationalisingRoot2/2=1.41/2=0.705 1/sqrt(2) = sqrt(2)/2 = 1.41/2 = 0.705 |
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| 30. |
f-46C.F=232. JetLf- 10,000+40-23x10.00 |
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Answer» 10000 + (40-23/46)×10000= 10000+ (17/46)×10000= 10000+(0.36956)×1000= 1000+3.6956=1003.6956 |
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| 31. |
Evaluate :(1) 74 |
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Answer» right anawer is,= 7×7×7×7 = 2401please like my answer. ब मच 4, 8ड न दे,, exrvg न 3rd एड्रेस 7×7×7×7 = 2401ans is corret 2401 is the right answer 7×7×7×7=2401 is right answer 2401 is the right answer 2401 is the right answer 2401 is the right answer |
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| 32. |
854026÷74 |
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Answer» the answer is 11540.891892 |
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| 33. |
कि as T e e 71{ Verify thatc +y* +2°=302= 5 (कक न दो(= O 2 +(z— X)fx . |
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| 34. |
-25 %2B 74 |
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Answer» 49 is the answer bro 74 + (-25)= 74 - 25= 49 74+(-25)=74-25=49,this is the answer. 74+(-25)=74-25 =49 49 is the correct answer of this guestion |
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| 35. |
If a, b, c are in H.P, Show that \frac{a-b}{b-c}=\frac{a}{c} |
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Answer» a, b, c are in HP so 1/a, 1/b, 1/c are in AP. thus 1/b – 1/a = 1/c – 1/b => (a – b) / ab = (b – c) / bc => (a – b) / (b – c) = ab / bc =>(a – b) / (b – c) = a / c |
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| 36. |
c. If a,b,c,d are in GP, show that (b-c) +(c-a) + (db) = (a- |
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| 37. |
) If a, b, c are in continued proportion,show that +b ba+cb(a+c) b2b+ c |
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Answer» No it's not correct answer |
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| 38. |
erminant for2. Show that pointsA (a, b + c), B (b, c + a), C (c, a + b) are collinear. |
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Answer» The points are A(a,b+c), B(b,c+a), C(c,a+b). If the area of triangle is zero then the points are called collinear points. If three points (x , y ), (x , y ) and (x , y ) are collinear then [x (y - y ) + x ( y - y )+ x (y - y )] = 0. ⇒ [ a( c + a - a - b) + b( a + b - b - c) + c( b + c - c - a) ] = 0 ⇒ [ ac - ab + ab - bc + bc - ac ] = 0 = 0.∴ the points (a,b+c), (b,c+a), (c,a+b) are collinear. |
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| 39. |
6.2 Comparing and oLearning Outcomes• Compare like and unlike• Order like and unlike frCompare the fractions |
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Answer» 5/6<1/2 is the correct answer 5/6<1/2 is right answer 5/6=1/2by Cross multiply method5×2=6×110=6 so, 5/6 >1/2 5/6<1/2 is the right answer 5/6=1/2is the right answer 5/6>1/2it is correct answer 5/6<1/2 is the correct answer 5/6 > 1/21/2 = 1*3/2*3 = 3/65/6 > 3/6 |
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| 40. |
a = 1 , b = - 2 , c = - 1 , \text { show that } 7 a + b + c = 2 a b c |
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| 41. |
10.Show that AB = AC need not imply B = C. |
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| 42. |
1+74 |
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Answer» 75. |
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| 43. |
Show that points P(1,-2), Q(5,2), R(3,-1), S(-1,-5) are the vertices of aparallelogram |
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| 44. |
Find the coordinates of the point R on the line segment joining the points P( - 1, 3) andQ(2, 5) such that 5PR 3PQ. |
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| 45. |
ChProve that the square of any positive integer is of the form 3m or,3m +1 but not of the formm +2. |
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| 46. |
Show that a + b = 10, 18 - Hot V2 and beyondShow that a + b = 10, if a =w |
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| 47. |
Show that : If A,B and Care the interior angles of a triangle ABC, then show) = cos ( )B+Cthat sin2 |
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| 48. |
Showb a bb b aa:-2b |
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Answer» Solving using basic determinent. |
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| 49. |
(b) Show thatCC |
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Answer» please like my answer if you find it useful |
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| 50. |
ज्ञञञ्च्च का मालीहिमा / नाट।ควทอ3 ทว" จาอ),112 / 701पत्र 'पीटीप्प- घa नै तालीछ । दि 12(४) 32 ) 12) थी।। a अ॒ ॐ र्नु घिm 12 वी 9 52. इत्र से 6ि3से 023 की 23 ।cua- 12 वी शाहू 3 ) । |
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