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. |
SECTION A1. Find the value of (0.62)22. An article was sold for? 448 there by gaining 12%. Find the cost price of the article.Find the product of (p-9)(p + 2).k Define ordinate of a point. |
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Answer» 1) 0.62² = 0.38442) cost price = Sp - gain%sp = (448- 0.12*448) =394.24 3) (p-9)(p+2) = p²+2p-9p-18 = p²-7p-184) ordinate of a point is the value of its y co-ordinate |
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| 2. |
Find n if (m- 12)r2 + 2(m-12) x + 2 = 0 has real and equal roots. |
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| 3. |
2. Draw the graphs of the linear equation x + y 4 in two variables |
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| 4. |
1. If in Δ ABC, LA-90°, a 25 cm, b-7cm, thenwrite all the trigonometric ratios for ZBand 2C |
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Answer» if angle A is = 90° , then using Pythagoras theorem a² = b²+c² => c² = a²-b² = (25)²-(7)² = 625-49= 574 => c = 24cm now, assuming angle c is at base so, cosC = 7/25 , sinC = 24/25 , tanC = 24/7 similarly cosB = 24/25, sinB = 7/25 , tanB = 7/24 |
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| 5. |
One card is drawn at random from a well-shuffled deck of 52 cards. Find the bruthat the card drawn is (I) a king (Il) a spade (l) a red queen(tv) a black sla Find the pr |
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| 6. |
~ Solve the following pair of linear equation-:3 x+4 y=10,2 x-2 y=2 |
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Answer» 3x + 4y = 10 2x - 2y = 2 3x + 4y + 4x - 4y = 10 + 4 7x = 14 x = 2 3(2) + 4y = 10 6 + 4y = 10 4y = 4 y = 1 |
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| 7. |
322ICSE Understanding Mathematics-VIIrectangular room is 10 m long and 7.5 m wide. Find the cost of covering thefloor with carpet 1.25 m wide at 250 per metre.tiloo of side 25 |
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Answer» Length of the room = 10mBreadth of the room= 7.5m Area of the room = lxb = 10 x 7.5 = 75m^2 Now, 75 / 1.25 = 60m^2 area covered by carpet width cost of onem^2 =250∴ cost of 60 m^2 = 250 x 60 = Rs 1500 |
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| 8. |
scd fina the number?Q.5.A cyclist after riding a certain distance stopped for half an hour to repair his bicycle, afterwhich hhad occurred 10 km farther off, he could have done the whole journey in 4 hours. Find wherethe breakdown occurred and his original speed?e completes the whole journey of 30km at half speed in 5 hours. If the breakdown |
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| 9. |
1 Find the cost of fencing a rectangular plot of length 250 m1 and width 150 m at the rate of16 permetre. |
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| 10. |
9 per square metre.times of its original length.225 m2 and base is 250 c24. Find the area of a square, if its side becomes |
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| 11. |
7. In the given figure, AD bisects ZA and AD L BC.(a) Is AADB AADC?(b) State the conditions of congruency |
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Answer» Angle-Side-Angle (ASA) Rule. Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent. Using this we can say that ADB is congruent to ADC write in simple word please |
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| 12. |
AB 1ar AABC6. Given Î ABC ~ Î PQR, if PO, then find arAPOR |
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| 13. |
Fig. 37, AD bisects ZA and AD L BC.(i) State the three pairs of matching parts you have used in (0).(ii) Is it true to say that BD DC?Fig. 37 |
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| 14. |
10. In AABC, AD bisects ZA and intersectsBC in D. If BC =a, AC =b and AB = c, provethat (i) BD= 57. (ii) DC b+ cabac |
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| 15. |
6. In the given figure, ABCD is a quadrilateralin which AB = AD and BC DC. Prove that(i) AC bisects ZA and ZC, (i) BE-DE |
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| 16. |
In the given figure, PO L AB. If x :y:z 1:3:5,then find the degree measure of x, y and z. |
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Answer» let x= k, y= 3k and z=5kSo, x+y+z = 90°hence, k+3k+5k=90°which gives k= 10°So, x= k= 10° y= 3k= 30° z=5k= 50° |
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| 17. |
At what point, the graph of the linear equation x+y-5 cuts the xaxis? |
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| 18. |
the values of θ and p, if the equation x cos θ + y sine-p Is the normal form.bfthe line-/3 x + y + 2 = 0. |
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| 19. |
draw the graph of the following linear equation x=5 |
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Answer» Given is graph of x = 5 |
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| 20. |
2y9 - 3) |
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Answer» If you like the solution, Please give it a 👍 |
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| 21. |
(४) |4x 2y9) |
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Answer» lcm of 4 and 9= 363x2= 6it is wrong question this question is wrong it is wrong questions ppppppioooothfgjbggkhg |
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| 22. |
Find the image of the point (-1, 3) on the line 3 x -4 y 16 if the line acts as a plane mirror. |
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| 23. |
6. Find the value of x so that the line through (3, x) and (2,7) is parallel to theline through (-1, 4) and (0,6). |
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| 24. |
किVbपा | भि |
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Answer» [(4×3)/(7×5)]-[(4×1)/(5×7)](12/35)-(4/35)(12-4)/358/35correct answer 3/7×4/5-4/5×1/712/35-4/358/35 |
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| 25. |
2×(2y+9) + (3y+24) = 100 |
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| 26. |
6,lf c # 0 and the equation 2x-x+c +x-cn-_ =be(A) (-6(B)a+b) (C)a+b (D)a-b(va vb)(B) (va +vb(C) a + b(D) a -b |
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Answer» no answer is option 2 |
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| 27. |
25реж 242B by =- VB by SV12 |
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Answer» 4√3/3 / (9√12 / 2) = 4√3×2 / (3×9×2√3) = 4/27 If you find this answer helpful then like it. |
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| 28. |
72)3If x =хIf x = ()*(*)find the value of xfind the value of x2 |
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| 29. |
AB 1PO 3Given AAB- APOR.if, then findar APOR |
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Answer» If you find this solution helpful, Please give it a 👍 thanks |
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| 30. |
Houo |
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Answer» 20%of 12=20/100*12=2.4litres of acid |
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| 31. |
Aur minutes past 2 pm, the time needed by the minutes hand of a clock to s3 pm was found to be 3 minutes less than minutes. Find r.4 |
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Answer» Present time is 2:tMinutes required for time to be 3 pm = t^2 /4 - 3 Then,t + t^2/4 - 3 = 604t + t^2 - 12 = 240t^2 + 4t - 252 = 0t^2 + 18t - 14t - 252 = 0t(t + 18) - 14(t + 18)= 0(t - 14)(t +18)=0t = 14, - 18 As t can not be negativeSo value of t = 14 |
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| 32. |
prove, that a ota +D-)=1At t minutes past 2pm, the time needed by the minutes hand of a clock toshow 3pm was found to be 3 minutes less then ~minutes. Find t.4 |
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Answer» Given time needed by the minutes hand show (t2/4) – 3Hence the quadratic equation becomes, (t2/4) – 3 = 60 – t(t2– 12)/4 = 60 – t(t2– 12) = 240 – 4 tt2– 12 – 240 + 4 t = 0t2+ 4t – 252 = 0t2+ 18t – 14t – 252 = 0t(t + 18) – 14(t + 18) = 0(t + 18)(t – 14) = 0(t + 18) = 0 or (t – 14) = 0∴t = - 18 or t = 14Since t cannot be negative, t = 14 |
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| 33. |
1. At what points does the line 3x + 4y = 6 cuts the x-axis and the y-axis? |
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| 34. |
4. A line a drawn through A (4, -1) parallel to the line 3 x-4y+1-0. Find the coordinates of the two points onthis line which are at a distance of 5 units from A. |
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| 35. |
13.Find the shortest distance between the lines(1+2)+ k) + λ(1-)+k) andr |
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| 36. |
For what value of m the line mx +2y+5 0 will pass through the point ofintersection of the lines x -4y 3 and x +2y 9?] |
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| 37. |
(i) (5,7), (8,1) and (1, J(iii) (5,-8), (-2,9) and (2,1)Find the equation of the circle which passes through (3,-2), (-2,0) and has its centre on thline 2r -y 3Find the equation of the circle which passes through the points (3,7), (5,5) and has its centon the line x-4y-1. |
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| 38. |
2t.When a simplis :(1) Maximum at highest point(s) Same at all pointse pendulum is rotated in a vertical plane with constant angular velocity, centripetal force(2) Maximum at lowest point(4) Zero |
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Answer» centripetal force is same at all pointsas the pull from centre is same |
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| 39. |
allowingauFind Clon引2600 for 2 years at 10% pa. compound |
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| 40. |
23 वर्ष वाच वेय ₹ 1092 को बराबर वार्षिक किस्तों में चुकाना है। यदि साधारणब्याज की दर 12% वार्षिक हो, तो प्रत्येक किस्त का मान बात कीजिए। |
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Answer» let instalment =x for each yearsintrest = 3x×3×12/100= 9x/25Amount=1002P+I=10923x+9x/25=109275x+9x=1092×2584x= 1092×25x= 1092×25/84 = ₹ 325 each year |
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| 41. |
he following:a 2600 |
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Answer» 6b is the correct answer |
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| 42. |
Prove that (n!+ 1) is not divisible by any natural number between 2 and n. |
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| 43. |
Houo longt take forOs Som of 2600 mvested atg % ornom become too res1562 |
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| 44. |
3. The gradient of a curve is found to be dy = x2 - 4.dx(a) Find the x-coordinate of the maximum point, justifyingthat it is a maximum. |
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Answer» 3√3 is Right answer........ |
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| 45. |
What is the maximum number of tangents which can be drwn to a circle from an externilpoint?1I. |
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Answer» No tangent line can be drawn through a point within a circle, since any such line must be a secant line. However,twotangent lines can be drawn to a circle from a pointPoutside of the circle. |
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| 46. |
EXAMPLE 5.10Find the equation of tangent at (-4,- 4) on the curvex=-4y. |
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Answer» Your answer is right bro 👍👍 |
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| 47. |
Find the area bounded by the curve 4y and the line x 4y-2Find the area of the region bounded by the curve y' 4x and the line |
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| 48. |
Calculate the total amount to be repaid i/75,000is borrowed for 3 years at 14% pa. |
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Answer» tq |
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| 49. |
Rs 6,050 is borrowed at 6.5%rate interest pac.aardvark.. Find the interest and the amount to be paid at the end of 3 yearsabbat |
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Answer» 📝😊 thankyou |
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| 50. |
Find the area bounded by the curve x2 4y and the line x 4y 2 |
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