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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. |
3. PORS is a quadrilateral with SQ as one of itsdiagonals. If SR-PQ = 4 cm, S 2-5 cm and SQis prependicular to both SR and PQ. show that ar[Board Term II, 20141(APSQ) = ar (ASRQ). |
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Answer» Compare triangles PSQ and QRS. SR = PQ , SQ is a common side. the angle between SR and SQ in triangle SRQ is 90 = the angle between PQ and SQ which is 90. two sides and the angle between them are equal in both triangles. so the triangles are congruent. hence their areas are equal. the area = 1/2 * 4 cm * 5 cm = 10 cm^2 |
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| 2. |
A sum of Rs. 36.90 is rnade up of 180 coins which are either 10 paise coins or 25 paise coins. The numbeof 10 paise coins is: |
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Answer» Total number of coins = 180 Letx be number of 10pcoins andy be number of 25pcoins x+y=180-----(i) Step (ii)Given 10p coins and 25p coins make the sum = Rs. 36.90 10x/100+25y/100=36.90 10x+25y=3690-----(ii) Step (iii) Solving (i) and (ii), 10x+10y=1800 10x+25y=3690 y=126 x=54 |
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| 3. |
OINENOTkaâ Part (C) is the corre16. Determinant is a numbeâ Part (C) is the correQUESTION1.Prove the following w43 1 6(i) 35 7 4 017 3 2 |
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| 4. |
432383 9 1 8 6 950 6 3 6 1 3d) The population of a city is 1,35,26,604. In the city, the number of men and women48,23,643 and 47,89,849, respectively and the rest are children. Find the numbechildren in the city. |
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Answer» 3,913,112 children answer 4823643+47898499613492 so.13526604-96134923913112 |
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| 5. |
[) Flove mui |
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| 6. |
The vertices of a triangle are A (1oshiude through A, 4), B(-4,9)& CI-2, -1 Find the equation of tie |
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Answer» Thank you so much |
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| 7. |
sunne ka paribhasha dijiye |
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Answer» सुनना - ध्यान देना, बुरा भला सहना, फटकारा जाना (जैसे—मुझे ... होना (जैसे— दुःख सुनना), प्रार्थना आदि पर की परिभाषा. |
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| 8. |
न क यू नर) fhem Pnd fhehe valve of l |
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Answer» Thanks |
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| 9. |
Pnd the quotient and the remainder:5x +x-3x-1 |
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| 10. |
the ages (in years) of 50 players of a school are given below:1516Age (in years)Number of playerspnd the mean age.14151410 |
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| 11. |
Mathematics for Class 712EXERCISE 131. Pnd the complement of each of the folowing anges(iii) 60° (iv) 73°(1) 35(ii) 47 |
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Answer» 35 का 90-35=45 to get the answer of your question subtract your given angle from 90 degree because the sum of the complementary angles are 90 and thus we can find it simply |
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| 12. |
andedst the pnd ef eauh year jhe pays backc.I. cempethe sum bordwed ,thos much mss lett-unpaid-just-after snarar? |
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Answer» Like if you find it useful |
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| 13. |
मी पनीर वा2-० P P£Pnd Fwo0 com p eecdbnve popidive.jmfl’{w sl ifie RTS . ( oo SHETITE =y e पाना जगकि वि का जा रीस्व्या गा12[पक न नचनललि] |
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| 14. |
TEST PAPER-181. The base of a triangular field is three tumes its height and its area is 1350 m Pndbase and height of the field. |
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| 15. |
A florał design on a floor is made up of 16 tileswhich are triangular, the sides of the trianglebeing 9 cm, 28 cm and 35 cm (see Fig. 12.18).Find the cost of polishing the tiles at the rateof 50p per cm. |
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| 16. |
Q19) A floral design on a floor is made up of 16 tiles which are triangular, the sides of thetriangle being 9 cm, 28 cm and 35 cm. Find the cost of polishing thetiles at the rate of 50p per cm. |
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| 17. |
y A floral design on a floor is made up of 16 tilesh are triangular, the sides of the trianglebeing 9 cm, 28 cm and 35 cm (see Fig. 12.18)Find the cost of polishing the tiles at the ratewhicof 50p per cm. |
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| 18. |
Line l is the bisector of an angle Z A and B is anypoint on I. BP and BQ are perpendiculars from Bto the arms of Z A (see Fig. 7.20). Show that:(i) ΔΑΡΒ ΔΑΟΒ(ii) BP BQ or B is equidistant from the arms5.7of Z A.tie, 7.20 |
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| 19. |
9. Find tie mui10. Find the number whose 61% is2.4 |
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| 20. |
A man standina on tha clackukich is r above the wateyuaLi GOa hill as Gos andkandanrSS OAhill as 30 Final the aistanes l tienitihil |
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Answer» Let a man is standing on the Deck of a ship at point a such that AB = 10 m & let CE be the hill Thus, AB = CD = 10 m The top and bottom of a hill is E and C. Given, the angle of depression of the base C of the hill observed from A is 30° and angle of elevation of the top of the hill observed from A is 60 ° Then ∠EAD= 60° &∠CAE= ∠BCA= 30°. (Alternate ANGLES) Let AD = BC = x m & DE= h m In ∆ ADE tan 60° = Perpendicular / base = DE/AD √3= h/x [tan 60° = √3] h = √3x……..(1) In ∆ ABC tan 30° = AB /BC [ tan30° = 1/√3] 1/√3 = 10/x x= 10√3 m.. …………..(2) Substitute the value of x from equation (2) in equation (1), we have h = √3x h= √3× 10√3= 10 × 3= 30 m h = 30 m The height of the hill is CE= CD+ DE= 10 +30= 40 m Hence, the height of the hill is 40 m & the Distance of the hill from the ship is 10√3 m. |
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| 21. |
zero ka paribhasha dijiye Hindi mein |
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Answer» शून्य(0) एकअंकहै जो संख्याओं के निरूपण के लिये प्रयुक्त आजकी सभीस्थानीय मान पद्धतियोंका अपरिहार्य प्रतीक है। इसके अलावा यह एकसंख्याभी है। दोनों रूपों मेंगणितमें इसकी अत्यन्त महत्वपूर्ण भूमिका है।पूर्णांकोंतथावास्तविक संख्याओंके लिये यहयोग का तत्समक अवयव(additive identity) है। very good |
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| 22. |
Plwd13. यदि (2६ - 1, 2) समीकरण 107 - 9४ न 12 का हल हो, तो £ >............न |
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Answer» (2k-1, k) , 10x - 9y = 12 ka hal hai tox = 2k - 1 aur y = k , me 10x - 9y = 12 rakhe10 ( 2k - 1) - 9(k) = 1220k - 10 - 9k = 1211k = 22k = 2 |
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| 23. |
90% ofthe people living in Guwahati can speakAssamese and 65% can speak Hindi. If everyGuwahatian can speak Assamese or Hindi, whatis the percentage of people who can speak both lthe languages? (e柯閲命5 90% 찌FIR 1 |
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| 24. |
In a group of 1000 people, 750 can speak Hindi and 400 can speak Bengali.Find out the number of people who can speak hindi only and who can speakBengali only |
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Answer» answer ?? |
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| 25. |
In a group of 400 people, 250 can speakHindi and 200 can speak Malayalam. Hovwmany people can speak both Hindi andMalayalam? |
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| 26. |
In a group of 400 people, 250 can speakHindi and 200 can speak Malayalam. Howmiany people can speak both Hipdi andMalayalam?c) |
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Answer» 1st ANSWERS is 450 people take in hindi malayalam obeoiysly 50 people can speak both Hindi and Malayalam in Olympia group50can Hindi many both Malayalam 50 peoples can speak both hindi and malayalam 50 people can speak both language 50 peoples can speak Hindi and Malayalam |
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| 27. |
[{R-1) -13 -17-1 |
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Answer» answer is 2 ...hope it helps 2 is the correct answer is |
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| 28. |
9. By how much is 1324bbr targt10. By how much is 5643879 smaller than one crore?101 |
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Answer» by how much each 47,93,821 smaller than 1 karod |
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| 29. |
, C, D have Rs 270 between them; A has three tlnies aas much as D; also A and B togetherhave Rs 50 less than eight times what Chas. Find how much each has.much as C, and B five times |
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| 30. |
9. By how much is 13246510 larger than 4658642?10. By how much is 5643879 smaller than one crore? |
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Answer» 13246510-4658642=8387868 13246510 is larger than 4658642 by 838786810000000-5643879=43561215648642 is smaller than 1 crore by 4356121 9) 1,32,46,510 - 46,58,642 _________________ 85,87,8681,32,46,510 is larger than by 85,87,868.10) 1,00,00,000 - 56,43,879 __________________ 43,56,12156,43,879 is smaller than 1 crore by 43,56,121. |
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| 31. |
)The parallel sides of a trapezium are 52 cm and27 cm, and the other two sides are 25 cm and30cm, Find the area of the trapezium |
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| 32. |
1. Construct the right angled ΔPOR, where maQ-90°, QR8cmPR 10 cm. |
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| 33. |
In the adjoining figure QR-RS . find ZPSR60°30°90° |
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| 34. |
If x^{2}-a x+6 \equiv(x-b)(x+3) then what is the value of a and b? |
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| 35. |
\begin{array} { l } { \text { Find } k , \text { if } \Delta \mathrm { ABC } \text { is right angled at } \mathrm { B } , \text { where } } \\ { \mathrm { A } \equiv ( 5,6,4 ) , \mathrm { B } \equiv ( 4,4,1 ) , \mathrm { C } \equiv ( 8,2 , k ) } \end{array} |
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| 36. |
In a set of whole numbers, the relation "is less than" is:1) Reflexive(a, b)eR and (b, a)ERa-b. for a. b A is the deni171) Transitive1 Let A 1,2,2) Symmetric3) Transitive4) Equiv |
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Answer» 3) transitive , as if in set of whole number a > b and b> c then a>c |
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| 37. |
5x+3 x +914.2-1 x +3(a) 15= 4 को हल करने पर x का मान होगा।(b)-15(c) 7/4 |
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Answer» -15 is your answer... -15 is a right answer |
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| 38. |
Mathematics VIIIFind the volume of each of the cube whose sides are.(i) 6.4 cm (ii) 1.3 m (iii) 1.6 m. |
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Answer» 4.096 m cube is right volume of cube =(1.3)cube=2.197 6.4 hoga answer Agar yea Galt hai to fer app bata do 1)287.4962)2.1973) 4.096volume of cube = a×a×a _where a = side 1. 262.14 cm cube2. 2.196 m cube3. 4.096 m cube use the formula of volume of cube that is 6(side)® volume of cubes 1)262.14 cubic meter 2)2.197 cubic meter 3)4.096 cubic meter (i)262.14 cm cube(ii)2.197 m cube(iii)4.096 m cube 6.4cm ye answer h nhi h to app bata do the volume of cubes (a)262.144(b)2.197(c)4.096 1.6 is the answer of the questions volume of cube =side× side×side (6.4)³ = 262.14cm (1.3)³=2.197m³(1.6)³=4.096m³ i)281.144 cm³ii)2.197m³iii)4.096m³ (a) 262.14 cm cube(b) 2.1916 m cube(c) 4.096 m cube volume of cubes 1)262.14 cubes meter 2) 2.197 cubic meter 3) 4.096 cubic meter this question answered is 6.4 volume of cubes 262.14cm2.197m4.096m volume of cube= (side)³=(6.4)³=6.4×6.4×6.4=262.144cm³ (ii) 1.3m answer heee 1. 262.144cm³2. 2.197m³3. 4.096m³ (262.144 )( 2.197)(4.096) 1. volume of cube = (side)³ I)ans=262.144cm^3ii)ans= 2.197cm^3III)ans= 4.096cm^3 1.) 6.4 cm. volume of cube =a cube = 6.4×6.4×6.4=262.114 6.4*6.4*6.41.3*1.3*1.31.6*1.6*1.6 1 ans 262.1442 ans 2.1973 ans 4.096 volume=(side×side×side) =(6.4×6.4×6.4) =262.144 1cm is 💯 metres so, 6.4 is 640 checking 640 divided by 💯 we will get 6.4 (i) 6.4cm=47.36cm³(ii)1.3m=2.197m³(iii)1.6m=4.096m³ 1) 264.142) 2.1973) 4.096 6.4 hoga answer I'm sure this right (I) 262.144cm³(II) 2.197cm³(III) 4.096cm³ (i).volume of cube=(side)³ =(6.4)³ =6.4×6.4×6.4 =2162.44 c.c(ii).volume of cube=(side)³ =(1.3)³ =1.3×1.3×1.3 =2.197 cu.m(iii).volume of cube=(side)³ =(1.6)³ =1.6×1.6×1.6 =4.096 cu.m 1)287.4962) 2.1973) 4.096 1.262.14cm^32.2.197cm^33.4.096cm^3 ans:- ( i) 262.144 ( ii) 2.197 ( iii) 4.096 the answers are 1) 287.4962) 2.1973) 4.096 volume of cube = a×a×a 6.4 ‐ volume of cube (side) volume of each of the cube 1) 262.1442) 2.1973) 4.096 the volume is 6.4 the correct answer 1)volume =6.4×6.4×6.4=262.144cm³2) volume=1.3×1.3×1.3=2.197cm³3)volume=1.6×1.6×1.6=4.096cm³ |
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| 39. |
1 Find the ratio of 9m to 27 cm |
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Answer» Let us convert both the measurements into same units 9m to 27 cm 9m=900 cm 27cm=27cm 900 cm :27 cm=100:3 💯:3 is the answer of this question convert to same unit=900cm to 27 cm therefore,, ratio of 900cm to 27 cm is 900:27that is900÷27 100/ 3 so, the final ratio is 100:3 convert to same unit=900cm to 27 cmjtherefore,, ratio of 900cm to 27 cm is 900:27that is900÷27 100/ 3 so, the final ratio is 100:3 |
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| 40. |
23. A cuboid is of dimension 60cmx5430cm. How many small cubes with side Scmcan be placed in the given cuboid? |
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| 41. |
et(vi) AABC12. ABCD is a trapezium in which AB il CD andA.ADBC (see Fig. 8.23). Show that(iii) Δ ABC Δ BADfiy) diagonal AC- diagonal BDFig. 8.23hrough C |
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Answer» besahuri Kyo kiye ho |
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| 42. |
EXERCISs 10.5L Construct the righeangled AFQR, where mQ 90 QRScm andPR= 10cm |
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| 43. |
(a) Perimeter-86 cm,width = 18 cm |
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Answer» perimeter = 68 width= 18 perimeter of rectangle = 2( length × width )so length = perimeter ÷ width = 68 ÷ 18 |
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| 44. |
12. ABCD is a trapezium in which AB | CD andAD BC (see Fig. 8.23). Show that(iii) Δ ABC Δ BAD(iv) diagonal AC = diagonal BD[Hint: Extend AB and draw a'line through CFig. 8.23parallel to DA intersecting AB produced at E.] |
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| 45. |
12. ABCD is a trapezium in which AB II CD andAD BC (see Fig. 8.23). Show that(iii) Δ ABCzABAD(iv) diagonal AC diagonal BDHint: Extend AB and draw a line through CFig. 8.23parallel to DA intersecting AB produced at E.] |
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| 46. |
12, ABCD is a trapezium in which AB || CD andAD=BC (see Fig. 823) Show that(iii) Δ ABC Δ BAD(iv) diagonalAC diagonal BDHint Extend AB and draw a line through CIVFig. 8.23parallel to DA intersecting AB produced at E. |
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| 47. |
Solve ax + by = R; bx + ay = m |
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| 48. |
The cost of a bag containing 10 kg. rice is 285. Find thecost of 25 bags of rice. |
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Answer» one bag cost is 285 hence cost of 25 bags will be 285*25=7125rupees |
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| 49. |
(1) (-15)-(-4)2. A boy standing on the third stairIV 20 )dina on the third stair on a staircase goes up by five more stairs whichanding now? At which step will he be, after he comes down by 2 stairs? |
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Answer» he is standing at 8 stairs he come down and standing at 6 stairs i think this is correct answer |
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| 50. |
IfABB Ă 999-ABC123 (where A, B, C aredigits) find the values of A, B,c. |
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Answer» ABB * 999 = ABC123 Let A = 8, B = 7 & C = 6 877 * 999 = 876123 Ans.) So, A = 8, B = 7 & C = 6. |
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