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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. |
figure 2.5, line RP | line MS and line DKtheir transversal. DHP-85。nd the measures of following angles.LRHDR.(ii) ZPHG(iv) ZMGKMİGFig. 2.5 |
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| 2. |
3 1 123 6 12Ans. 6 20 273 12 23 |
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Answer» thanks...yr |
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| 3. |
644-A170. SON.: 9320*25376* OPTICALS & EEXERCISE0.1-25. What will come in place of question mark (?) in the following questions?Q.1. 196 x 948 = ? = 1176800 |
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Answer» let ? be x196×948÷x=1176196×948/x=1176x=196×948/1176=158 158 is the right answer 158 sahi answer hai 158 is the right answer 158 is correct answer answer is that :196*948/1176=158 158 is right answer and let the number is A196×948÷A=1176A=(196×948)/1176A=158 checking....196×948÷158=1176185,808÷158=11761176=1176LHS=RHS 158 is the correct answer 158 will be the correct answer 158 is the right answer now solution is 196×948÷158=1176 this is a answer let ? be x196×948÷x=1176196×948/×=1176×=196×948/1176=158 158 is the correct answer of the given question 157 is correct and best answer 👍 👍👍 👍👍 👍 158 is the correct answer continue your learning with this app |
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| 4. |
Put the correct signor42023 |
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Answer» 4 < 8 20 < 23 If you find this answer helpful then like it. |
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| 5. |
(* 23 (режреорео 20 |
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| 6. |
Q.6 Julie has twice as many marbles as Saba. If Julie gives Saba 10 marbles, bothof them would have the same number of marbles. How many marbles do Julie andSaba have? |
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| 7. |
9) Three times a number added to 12 gives (6)Find the number. |
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Answer» let the number be xaccording to the question12+3x=-63x=-6-123x= -18x= -18/3x= -6the number is -6 |
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| 8. |
8.A student buys a pen for Rs 90 and sells it for Rs 100. Find his gain and gain percent. |
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Answer» 😊 |
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| 9. |
35. An article was purchased for Rs 500 and sold for Rs 550. Find thegain and gain percent. |
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Answer» C.P of article = 500S.P of article =550Gain = 550 - 500 = 50Gain℅ =50÷500 ×100 = 10℅ |
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| 10. |
Show that the roots of the equation(x-a)(x-b) + (x-b)(x-c) + (x-c)(x-a) = 0 are always real and theycannot be equal unless a = b = c |
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Answer» Root of quadratic equation (x-a)(x-b)+(x-b)(x-c)+(x-a)(x-c) = 0 are equal Means D = b² - 4ac = 0 for this equation, first we should rearrange the equation , (x - a)(x - b) + (x - b)(x - c) + (x - c)(x - a) ⇒x² - (a + b)x + ab + x² - (b + c)x + bc + x² - (c + a)x + ca⇒3x² - 2(a + b + c)x + (ab + bc + ca) D = {2(a + b + c)}² - 4(ab + bc + ca).3 = 0⇒4{a² + b² + c² + 2(ab + bc + ca)} -12(ab + bc + ca) = 0⇒ a² + b² + c² - ab - bc - ca = 0⇒2a² + 2b² + 2c² - 2ab - 2bc - 2ca = 0 ⇒(a - b)² + (b - c)² + (c - a)² = 0 This is possible only when , a = b = c Hence, proved , if roots of given equation are equal then, a = b = c |
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| 11. |
7. If a, b, c, d e R show that the roots of the equation(a2 + c2) x2+2(a b + cd) x + (b 2 + 290cannot be real unless they are equal. |
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| 12. |
ind cos o, if g9 is the angle betweenthe pair of planes y Z1 o |
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Answer» Here a1= 1 b1= 2 c1= 2a2= 4 b2= 7 c2= 4theta = cos inverse (26/27) hit the like 👍 ✔️✔️✔️ |
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| 13. |
Z1 11+2i & 12 1 +i, Find2 |
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Answer» Thanks |
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| 14. |
Unless stated otherwise, use Ď1. Find the area of the shaded region in Fig. 12.19, if7 cm and O is the centre of thePQ 24 cm, PRcircle |
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Answer» AngleQPR=90 (Traingle formed in the semi circle is of 90°IN Traingle QPRBy pythagoras theoremH^2=P^2+B^2H^2=(7)^2+(24)^2H^2=49+576H^2=625H=√625H=25cmDiameter of circle =25cmRadius of circle= 25/2Area of Semi circle=pie(r)^2=1/2×22/7×25/2×25/2=245.5Area of traingle= 1/2×b×h=1/2×24×7= 12×7=84 Area of shaded region = Area of semicircle -Area of traingle=245.5-84=161.5 cm |
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| 15. |
t and 22 form a linear pair and Z1 is double of2. tind the measures of 41 and 22. |
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Answer» angle 1 + angle 2 =180angle 1 =2 * angle 23(angle2)=180angle 2=60angle 1=120 |
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| 16. |
A fan is sold for rupee 644.the gain is one -sixth of the cost price of the fan. find the gain percent |
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| 17. |
sanv line fitersttnd CN are perpendiculars to a line passing through the vertex A of a triangleClf Lis the mid-point of BC, prove that LM=LN. Das |
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| 18. |
Q4. In a Δ ABC, AB = AC and D is a point on side AC, such that BC-AC x CD. Prove= BC.L.Q.5) In Fig. 4, 2M = <M-46. Express x in terms of a, bwhere a, b and c are lengths of LM, MN and NKrespectivelyFig. 4 |
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Answer» Two Triangles are said to be similar if theiri) corresponding angles are equal and ii) corresponding sides are proportional.(the ratio between the lengths of corresponding sides are equal) SOLUTION : GIVEN: ∠KNP =∠ KML = 46°LM = a , MN = b , NK = c In ∆KPN and ∆KLM, ∠ KNP = ∠KML = 46° [ given]∠ K = ∠ K [Common] ∆KPN ~ ∆KLM [by AA similarity criterion of triangles] KN/ KM = NP/ML [corresponding sides of similar triangles are proportional] c /(b+c) = x/a [KM = MN + NK]x(b+c) = c×a x = ac/ (b+c) Hence, the value of x = ac/(b+c) Like my answer if you find it useful! |
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| 19. |
72. A number divided by 10 gives 6 asthe remainder. What would be theremainder if the same number isdivided by 5 ?(1) 3(2) 2(3) 1(4) o |
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Answer» the reminder would be 2 if the same number is divided by 5 the remainder would be 1 if it is divided by 5 And is 1. Consider example for a no. 26 if we divide it with 10 then remainder is 6 and if we divide it by 5 the remainder is 1. Same with every nos. 5 is the best agijf jvc dhjf khg khff khff gdzsfk |
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| 20. |
-13222.By what number- be divided so that quotient is 21.2023.By what numberbe divided so that quotient is |
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| 21. |
A number divided by 5 is 8. Find this number |
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Answer» x/5 = 8 x= 8×5 x= 40 that number is 40. |
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| 22. |
3. Atul earns 360254 in 3 months. How much will he earn in 7 months? |
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Answer» 60254 is for 3 months. so income for 1 month is 60254÷3 and income for 7 months is 60254÷3×7=140592.67 |
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| 23. |
Use π =, unless stated otherwise.1. The circumference of a circle is 39.6 cm. Find its area. |
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Answer» Like if you find it useful |
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| 24. |
Ip Atul to find some otherEXERdand correct the errors ir4(x-5) = 4x-5 |
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Answer» solution will be 4(x-5)= 4x -20 |
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| 25. |
1. Ifa, b, c are integers, then (a + b)(bc) unless c iscaequal to(a) 1 |
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Answer» thanks |
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| 26. |
Use Ď =-, unless stated otherwise.The circumference of a circle is 39.6 cm. Find its area.1. |
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Answer» Given : circumference =39.6cmFormula :circumference =2 pi rarea=pi r rthus 39.6=2 pi rr=6.3 cmarea=22/7 *6.3*6.3=124.6 cm sq |
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| 27. |
41.40째In the diagram aboveJK = KL = LM angle JKL = 400What is the size of angle KMN?A. 145C. 110째B. 130째D. 160째 |
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| 28. |
236EXERCISE 13.8Assume Ď--,unless stated c7Find the volume of a sphere whose radius is(i) 7cm1. |
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Answer» radius is 7cmvolume= 4πr^3/3volume= 4(22/7)7^3/31437.3333333 cm^3 |
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| 29. |
unless stated otherwise71. Find the area of a circle whose radius is(i) 21 cm,(ii) 3.5 m. |
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| 30. |
Unless stated otherwise, take Ď=-.1. 2 cubes each of volume 64 cm are joined end to end. Find theresulting cuboid. |
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| 31. |
(v) (lm +)+ m+1 |
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Answer» please like my answer if you find it useful |
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| 32. |
1: 15, lm=â-is |
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| 33. |
V A number divided by 6 minus-3 |
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Answer» please send the photo clearly😊😊☺️☺️☺️☺️☺️☺️ |
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| 34. |
A positive number when divided by 88 gives the remainder 8. What will be the remainder when this number isdivided by 11.7.a, b |
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Answer» Let the original no. be nThen, n = 88*1 + 8n = 96 When 96%11 = 11*8 + 8Remainder will be 8 only |
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| 35. |
AL -- 2.In AABC, LM // BC and 1=AM = 5 cm, find AC.LB |
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| 36. |
. In the given figure, 1 |lm and a transversalt cuts them. If 41 120°, find the measureof each of the remaining marked angles. |
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Answer» thank you |
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| 37. |
439.6 -1.1-2.154(1) 18576.1.2400 lm in 5.6 litres of petrol. How much : |
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Answer» (j) 40.86 ÷ 1.2 = 34.05(k) 31.27608 ÷ 2.154 = 14.52 please like and accept as best answer |
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| 38. |
a. 13 subtracted from twice a number gives 3. |
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Answer» The equation will beLet the number be x2x - 13 = 32x = 16x = 8The number is 8 From which book have you taken this question? Please tell us so that we can provide you faster answer. |
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| 39. |
rite algebraic equations for the following statements:(a) 6 subtracted from the product of m and 3 gives 12.b) 5 is equal to the sum of 8 and y(c) Half of x plus 3 givese) Twice the sum of x a(d)A number t divided by 3 gives 5 |
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Answer» a-m×3=12 b-8+y=5 d-t÷3=5 |
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| 40. |
A number P is divide by 4 gives 3. |
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Answer» p/4 = 3p=4x3 = 12 |
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| 41. |
A number P is divide by 4 gives 3 |
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Answer» p/4 = 3p = 4x3 = 12 |
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| 42. |
One-fifth of a number minus 4 gives 3. |
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Answer» let the number Be X(x/5)-4=3x/5=7x=35therefore number is 35 |
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| 43. |
Write algebraic equations for the following statements:(a) 6 subtracted from the product of m and 3 gives 12.(b) 5 is equal to the sum of 8 and y.(d) A number t divided by 3 gives 5,(c) Half of x plus 3 gives 7.(e) Twice the sum of x and y is 9. |
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| 44. |
5. What number is 3 more than6. A number when multiplied by 5 gives 60. What is the number?ided by 7 gives 11. |
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Answer» Let x be the number5×x=60x=60/5x =12 |
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| 45. |
1000 V 3226694416(xix) 6407522209 xx) 3915380329Find the least number which must be subtracted from the following numbers to makethem a perfect square:(i) 2361 (ii) 194491 (iii) 26535 (iv) 16160Find the lens(v) 4401624 |
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| 46. |
Find the square root of each of the following by long division method:(1) 12544 (1) 97344 (iii) 286225 (iv) 390625 (v) 363609vi) 974169 (vii) 120409 (viii) 1471369 (ix) 291600 (x) 9653449i) 1745041 (xii) 4008004 (xiii) 20657025 (xiv) 152547201 (xv) 20421361i) 62504836 (xvii) 82264900 (xviii) 3226694416(xix) 6407522209 (xx) 3915380329 |
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Answer» the answer that Shashi batula wrote is fully correct .. good presentation nice bro |
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| 47. |
Q5. The angles of depression of the top and bottom of a 9m high building from thetop of a tower are 30° and 60° respectively. Find the height of the tower and thedistance between the building and the tower. |
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| 48. |
1) 98011 75d the square root of the following by division method.(b) 974169id the least number, which must be added to(c) 846497344194491(d) 720801number, which must be added from the in |
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Answer» a.97344 and 9.783268 a. 97344 and 9.783268 |
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| 49. |
NumberSytemdivisionforenMethod |
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| 50. |
How can we help beggars/abolish begging |
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Answer» By providing them work we can help beggars by providing them some job. government can initiate some scheme to help poor people by giving them work, free foods, free education and reservation. |
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