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. |
F40na L Latal Sugpac arxtq(IT=3:)तु वि १ ज.४। 1/0 (1071 2ू-प-स/५४_ दि का ex. & o, |
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| 2. |
If A is Idempotent muithen Show +hat - 3+2)":= 1+(2-1)A |
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Answer» A^2 = A A^3, A^4, A^5.......A^n = A (I + A)^n = nC0 I^n + nC1 I^n-1A + nC2 I^n-2 A^2 +...... nCn A^n = nC0 I^n + nC1 A + nC2 A +...... nCn A = 1* I + A(nC1 + nC2 +......... nCn) = I + A[(nC0 + nC1 + nC2 +......... nCn) - nC0] = I + (2^n - 1)A |
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| 3. |
1. Show that in aquadrilateral ABCD, AB +BC+CD + DA> AC+ BD |
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| 4. |
11. If P and Q are any two points lying respectively on the sidesDC and AD of a parallelogram ABCD then show hatar(AAPB) ar(ABQC). |
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Answer» 1 2 |
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| 5. |
7... एक काम को 2 और 8 कमश 20 व 30 दिन में करते है 8 नेअकेले -काम करना, शुरू किया 5 दिन के वह काम को छोड कर चला गयाशेष को 9. कितने दिनो, में समाप्त करेगा ?क 18 दिन ख 22 दिन. ग 225 दिन घ 24 दिन |
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Answer» thanks bro |
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| 6. |
sa miumglein which atinades BE and CF tovides AC and AB are egual (see Fig. 7.32) ShowhatG)AB = AC,ABC is an isosceles triangle. |
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| 7. |
2. Find the missing terms, if following are in A.P2, âĄ, 26, ⥠|
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Answer» If given terms are in AP Then,a1 = 2a3 = 2 + 2d26 = 2 + 2d2d = 24d = 24/2 = 12 a2 = 2 + 12 = 14a4 = 2 + 3*12 = 38 Therefore, missing terms are 14 and 38 |
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| 8. |
In the figure, DE || OQ and DF || OR. Show thatEF || QR. |
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| 9. |
missing terms of4,23,122,621,=? |
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| 10. |
In the following APs, find the missing terms in the box2,___,26 |
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| 11. |
In the following APs, find the missing terms in the boxes0226 |
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| 12. |
inthebox. In the following APs, find the missing terms0 22613, |
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| 13. |
In the following APs, find the missing terms in the boxes02-B26) 5. E卧囚. 9 |
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| 14. |
2.In the given figure, DE|| BCand DE: BC 3:5.Calculate the ratio of the areas of AADE andthe trapezium BCED. |
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| 15. |
Mathslass-vin Extra questionsवह सबसे छोटी संख्या ज्ञात करे जिससेकोगुगा करने पर संख्या एक पूर्ण वर्षसंख्या हो जाये।1350 |
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Answer» 1350 का गुणन खण्ड करने पर : 1350 = 2×3×3×3×5×5 इसे 2 × 3 से गुना करने पर यह एक पूर्ण वर्ग संख्या बन जाएगी अतः 6 ही वही संख्या है जिससे 1350को गुना करने पर एक पूर्ण वर्ग संख्या प्राप्त होगी। |
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| 16. |
(A) 2o.In the following APs, find the missing terms in the b(0) 2,, 2613,5,(iv) -4,,. -22 |
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Answer» 2 , 2+12=14 , 14+12=26 18 , 18-5=13 , 13-5=8 , 8-5=3 5 , 5+1.5=6.5 , 6.5+1.5 = 8 , 8+1.5 = 9.5 -4 , -4+2=-2 , -2+2=0 , 0+2=2 , 2+2=4 , 4+2=6 53 , 53-15=38 , 38-15=23 , 23-15=8 , 8-15=-7 , -7-15=-22 If you find this answer helpful then like it. |
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| 17. |
U1.Based on Practice Set 4.11.Find the reduced form of the ratio of the firstquantity to second quantity.i. 2 metres, 150 cm[1 Mark]Marks |
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Answer» 2 metres, 150 cm2 metres = 2 × 100 = 200 cmRatio = 200cm ÷ 150cm = 4 ÷ 3 Ratio = 4 : 3 |
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| 18. |
RailwayCBT Exam Held OWhat is the HCF of2- and49(1) 200(2) 500Shri Y nins amarathon and starts from point |
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Answer» HCF of fractions =HCF of numerators / LCM of denominators •°•Nume.=HCF of 15 ,12,40 that is 1 •°•Deno.=LCM of 14,35,49 that is 490 so answer is option 2 that is 1/490 1) is the correct answer I thought correct answer is 2 options correct answer is 1HCF of( 15 ,12 ,40). 1----------------------------- = ----LCM of (14,35,49). 490 Hope you understood that question number 2 would be the best choice |
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| 19. |
show tha the function f(x)=x^x is minimum for x=e^-1. |
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Answer» f(x) = x^xDF(x)/dx= x^x(log(x)+1)when equals to 0x= 1/e |
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| 20. |
AandBareacuteangles such that cos A-cos B,then show thaA=cos B, then show thatIf |
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Answer» Too complicated |
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| 21. |
8. If O is a point within a quadrilateral ABCD, show thaOA +OB+ OC+ OD> AC+ BD. |
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| 22. |
1. If one angle of a triangle is equal to the sum of the other two, show thathe triangle is right angled. |
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Answer» suppose the angles are x , y and z . z being the greater angle so, from equation x+y = z now sum of angle = 180° or , (x+y)+z = 180° => z+z =180° => 2z = 180°z = 180/2 = 90° so, the greatest angle is 90° . hence proved. |
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| 23. |
A.In the given figure DE Il BC.Find the value of EC |
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| 24. |
(vin) 1.9x+ 3.6 = 2.5x+ 3 |
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| 25. |
EXAMPLE3 Prove that Vin is not a rational number, if n is not e |
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Answer» tq😇😇 |
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| 26. |
EXERCISE 401. Represent each of the following rational numbers on the number line:-VinNO(vi) - 1(vii)(viii)+ |
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| 27. |
5. The diagonals of a quadrilateral ABCD are equal. Prove that thequadrilateral formed by joining the midpoints of its sides is a rhombus. |
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| 28. |
In Figure 5, ABCD is a squareFind the area of the shaded region. (Use Ď = 3.14)with side 2 V2 cm and inscribed in a circle.Figure 5 |
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Answer» Shaded region = Area of circle - areaof squarenow diameter = diagonal of square = area of circle = π*2*2- 84.56cm^2 |
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| 29. |
In Figure 5, ABCD is a square with side 2V2 cm and inscribed in a circle.Find the area of the shaded region. (Use 314)TDFigure 5 |
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Answer» part1 |
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| 30. |
Divide the share 100 between A and B such that twice of A's share is less than3 times of B's share by 200. |
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Answer» Let share of A=x and share of B=ygiven that2x=3y-200x=3y-200/2:y+3y-200/2=1002y+3y-200=200 (mult by 2 both side)5y=400y=80x=100-80=20 let A= x and B= y; 2x = 3y -200; X= 3y - 200; 2( 3y -200)-3y = -200;; 6y - 400 - 3y = -200;; 3y = -200 +400;; y=200/3=66.66 |
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| 31. |
2.A chord ofa circle ofradius 12 cm subtends an angle of 120° at the centre. Find theof thee corresponding minor segment of the circle (user -3.14 and 3 -1.732) |
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| 32. |
18. Divide the share 100 between A and B such that twice of A's share is less than3 times of B's share by 200. |
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Answer» Let A’s share be x. Then B’s share will be (100 - x) According to the question -: Twice of A’s share, that is 2x Is less than, that is (- 2x) 3 times B’s share that is 3(100 - x) Is 200. Now, let us write the equation as per the question. We know all the terms, right? Let us put them together. 3(100 - x) - 2x = 200 Now we know the equation, let us solve it. On solving the bracket, we will get - : 300 - 3x - 2x = 200 300 - 5x = 200 -5x = 200 - 300 -5x = - 100 Now, (-) and (-) gets cancelled, we get - : x = 20 That is A’s share was 20 and that of B’s was 80 |
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| 33. |
(iii) area of the segment formed by lll CA chord ofa circle ofradíus 15 cm subtends an angle of 60° at the centre. Findof the corresponding minor and major segments of the circle.(Use π-314 and-3-1 .73)6.the a |
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| 34. |
Find the area of the minor segment ofa circle ofradius 14 cm, when the angleof the corresponding sector is 60°.X11 10 urhore arcs drawn with centres |
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| 35. |
39. The value of tan 370° cot 10° is equal to |
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Answer» tan370*cot10=tan370/tan10 tan370=tan(360+10)=tan10 tan370/tan10=tan10/tan10 =1 |
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| 36. |
370-0= |
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Answer» 370-0=370 (basic subtraction) |
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| 37. |
5 figure, O is the centre of370 |
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Answer» x=37y=53 x = 37y =53is the correct one |
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| 38. |
The radii of the ends of a frustum of a cone 45 cmrespectively, find the volume.high are 28 cm and 7 cm |
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| 39. |
An amount of 720 is divided among A, B and C such that B's share is thrice that of A and Cshare is twice that of A Find the share of A, B and C |
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| 40. |
How many rational number lies between 2 and 3. |
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Answer» Between 2 and 3 there are infinite rational numbers as we can write decimals numbers between 2 and 3 in form of p/qsuch that q is not 0 |
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| 41. |
The rational number lies between32and7is3 |
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Answer» Rational number between 3/7 and 2/3 = (3/7 +2/3)/2 = (9+14)/42=23/42 |
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| 42. |
4(a) The rational number lies between 0 and 1. |
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| 43. |
, Find the Ue values of y for which the distance betwen the points P(z-3) and 0(10,y)is10 units. |
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| 44. |
antssaplings,inarowinhergarden.Thedistancebetwentwoadjacentsaplings is Fm. Find the distance between the first and the last sapling34 |
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| 45. |
. İftan θ + cot θ-1,then find the value of tan-g + co? θ.orram ARCD taken in order |
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| 46. |
"की"le 12 16+ 9 |
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Answer» (3/16) +(-3/16) 0 answer 0 is the correct answer of this question 0 is the correct answer of the given question 0is the answer of the question |
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| 47. |
A chord ofa circle ofradius 10 cm subtends a right angle at the centre. Find tHe lre t(i) minor sector(i) major sector |
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| 48. |
7. A cylindrical tank has a capacity of 6160 cu cm. Find its depth if its radius is 14 m. Calculate thepainting its curved outer surface at the rate of3 per square metre.| Take Ď-ě§ |
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Answer» As the unit ofvolume given in the question is too small so considering it 6160 m³Volume of cylindrical tank =π r²×h⇒6160=π×(14)²×h⇒h = 10 mnow, the area of curved surface= 2π r×h =2π×14×10 =880 m²cost of painting that surface = Rs 3×880 = Rs2640 |
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| 49. |
1 P. Q R and S are respectively the midpoints of thesides AB, BC, CD and DA of a quadrilateral ARCDShow that(i) PQIAC and PQ = AC(u) PQI SR(ii) PQRS is a parallelogram.‘ |
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| 50. |
le 7. If xPy (x+y)ptq prove that |
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