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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. |
tan (90- A) cot Acosec 2Acos2 A = 0 |
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Answer» Tan(90°-A)cotA/cosec²A-cos²A=cotA.cotA/cosec²A-cos²A[∵,tan(90°-Ф)=cotФ]=(cos²A/sin²A)/(1/sin²A)-cos²A=cos²A-cos²A=0 (Proved) |
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| 2. |
In the given figure, I | m and t is a transvenal If 41 and 2ae inthethe o 5measure of each of the angles 41,22,43 and zs2:32-1angles of the |
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Answer» Thanks |
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| 3. |
tan2 60째+4 cos2 45째+ sec2 30+5cos 90cosec 30째 +sec 60째-cot |
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Answer» (3+4(1/2)+(4/3)+0)/(2+2-3)(3+2+(4/3))/(1)5+4/319/3 |
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| 4. |
13 8 |
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| 5. |
sin,A or not.צל. If 3 cot A-4, check whether _ tan-A-cos2 A |
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| 6. |
\frac { 13 } { - 8 } |
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Answer» -8*5 = -40 So 13*5/-8*5 = 65/-40 -8*-4 = 32 So, 13*-4/-8*-4 = -52/32 |
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| 7. |
Question 3(a)In the given figure, DE IBC, <B = 30° and ZA-250. Find the letteredangles x, y and z.A.25B 130 |
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Answer» In triangle ABCA + B + C = 18025+30 = 180-CC = 180-55C = 125Y = 125X = 30 { corresponding angle) Z = 180-30 = 150 |
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| 8. |
2. Find giving reasons, the measures of angles a, b, c, d and e.70°110° |
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Answer» solution is below ...... |
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| 9. |
ind the area of quadrilateral PQRS as shown in the adjoining figure4 cm12 cm8 cm |
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Answer» Area of parallelogram- = area of triangle PSR+ area of PQR= 1/2*4*12+(1/2*8*12)24+48= 72 unit |
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| 10. |
A rectangular sheet of paper is 12 cm long and 10ind its perimetercm wide. |
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Answer» allah ka naam le aur 10 ₹ chipka de |
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| 11. |
(1) To solve x +y 3, 3x -2y-4 0 by determinant method, find D |
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| 12. |
Over Find by elimination method.i) 8x+ 5y = 9| 3x tad = 4 |
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| 13. |
Find the refiex angie OF 100 |
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Answer» reflex angle of 100=360-100=260 The reflex angle of 100 is 360-100=260 |
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| 14. |
Длді,1 Find The teEiCA angieOF 100 |
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Answer» reflex of an angle=360-given angle=360-100=260 |
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| 15. |
In Fig. 9.15, ABCD is a parallelogram,AE 1 Dcand CF丄AD . If AB = 16 cm, AE = 8 cm andCF = 10 cm, find AD.1. |
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| 16. |
Inthe given figure, ifztyAOB is a line.6.w+z, then prove that |
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Answer» Thanks for your help x+y=w+zx+y+w+z=360x+y+x+y=3602x+2y=3602(x+y)=360x+y=180so AOB is line |
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| 17. |
In Fig. 9.15, ABCD is a parallelogram, AE丄DCand CF丄AD. If AB = 16 cm, AE = 8 cm andCF= 10cm, find AD.1. |
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| 18. |
Ifthen find the value of x.13)-8 |
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Answer» (12/13)⁴ × (13/12)^-8 = (12/13)^2x => (12/13)^(4+8) = (12/13)^12x=> 8+4 = 12x=> x = 12/12 = 1 |
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| 19. |
In Fig 9.15,ABCD is a parallelogram,AE 1 DCand CF L AD. If AB 1 , AE 8 cm andCF 10 cm, find AD1.16cmntively the mid-points of |
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Answer» If you find this solution helpful, Please like it. |
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| 20. |
Prove the following with the help ofidentities.3. cos? + cos2 e cot? = cot?. |
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Answer» LHS: cos^2 theta + cos^2 theta.cot^2 theta = cos^2 theta(1 + cot^2 theta) = cos^2 theta. cosec^2 theta [1 + cot^2 theta = cosec^2 theta] = cos^2 theta/sin^2 theta = cot^2 theta = RHS Hence proved |
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| 21. |
t. The cost of 37 m of cloth is Rs 3145. What length of cloth can be purchased for Rs 1445 |
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Answer» thxx |
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| 22. |
The number of students in each class of a school is 25. The fees paid by each student is rs.812 per month. If there are 40 classes in the school, what is the total fee collection in a month? |
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Answer» Total fees = number of students in each class* number of classes* fees paid by each student= 25*40*812= ₹ 812000 Please hit the like button if this helped you A club has 98 members. Each members pays 90 per month. What is the collection of the club every month |
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| 23. |
7.A milkman sold two of his buffaloes for t 20,000 each.On one he made a gain of 5% and on the other a loss of10%. Find his overall gain or loss. (Hint: FindCP of each) |
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| 24. |
7 Solve the following pair of linear equations by the substitutionmethod:4 |
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Answer» x+y= 14 nowx= 14-ynow14-y-y= 22y= 12y= 6x= 8 |
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| 25. |
Solve the following pair of linear equations by the substitution method.(i) x+y= 14(ii) s-t=3 |
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Answer» mana ki X = 1to y =14-1 =13 mana ki t = 1to s-t=3 s-1=3 s=3+1 =4 i) 13 ii) 4 . .. |
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| 26. |
Solve the following pair of linear equations by the substitutionmethod:x+y 14 |
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Answer» Givenx+y =14......(1)x-y=4..........(2) Solution:from (1)x=14-ysub in(2)14-y-y=4-2y=-10y=5now x=14-5=9therefore x=9 y=5 |
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| 27. |
7. In the given figure, /CAB=90° andcAD L BC. Show that ABDA ABAC. IfAC 75 cm, AB-1 m and BC 1.25 m,find AD1 m |
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| 28. |
8.In Î ABC, AD 1 BC, such that AD2-BDCD. Prove that MBC is right angled at A |
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| 29. |
2. In figure 1.13 BC | AB, AD 1 AB,BasBC = 4, AD = 8, then findA A ADB)TheFig. 1.13 |
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| 30. |
4. Ifthen ad1) bc 2) ab c) ac d) none of these |
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Answer» a/b=c/dad=bc. cross multiplicationhence option 1 the right answer is bc |
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| 31. |
Sankari purchased 21m cloth to stich a long skirt and 1 m cloth to stitchblasIf the cost is 120 per metre then find the cost of cloth purchased by her1.4 |
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| 32. |
9. A rectangular park measuring 120 m by60 m is surrounded by a path 5 m wideoutside it. Find the cost of paving the pathwith gravel at the rate of 20 per squaremetre. |
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| 33. |
helpofSridharaAcha(G)3x2+11x-4-0 |
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Answer» Like my answer if you find it useful |
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| 34. |
Find x and y with the help of equation 2x + 3y = 43x + 2y = 6 |
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Answer» answer.. is. 1. |
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| 35. |
A two-digt number Is 3 more than 4 times the sum of its digits. If 18 is added to thenutiber. its digits are reversed. Find the number. |
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| 36. |
7/ A milkman sold two of his buffaloes for20,000 each. Onone he made a gain of 5% and on the other a loss of 10%.Find his overall gain or loss. (Hint: Find CP of each) |
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| 37. |
2. The digt in the tens place of a two-digit number is three times that in the units place. If theare reversed, the new number will be 36 less than the original number. Find thedigitsoriginal number. Check your solution |
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Answer» but in answer its 13/21 |
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| 38. |
7. A milkman sold two of his buffaloes for 20,000 each.On one he made a gain of 5% and on the other a loss of10%. Find his overall gain or loss. (Hint: FindCP of each) |
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Answer» the Cp/of two Buffalo are20,000×10/10020,000/102,000 your answer must be 40000 cp of 1st Buffalo20000*100/105=40000/21 cp of 2nd Buffalo20000*100/90=200000/9 total cp(400000/21)+(200000/9)=41269.84 profit(loss)=sale price-cost 40000-41269.84 =1269.84 loss |
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| 39. |
7.A milkman sold two of his buffaloes forOn one he made a gain of 5% and on the other a loss of10%. Find his overall gain or loss. (Hint: FindCP of each)20.000 each. |
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| 40. |
1) Solve, and check by substitution if youranswer is correct.(i) 2x - 9 = 11 |
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Answer» thnxx 2x-9=11 or,2x=11+9 or,x=20÷2 or,x=10 |
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| 41. |
Solve the following pairsubstitution method:(i) x + y5 and 2x-3y=4 |
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| 42. |
LausSolre for a and y2+1 +4-1 = 8,using substitution to thed,2-1 +4+1 -923 |
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Answer» x+1/2 + y-1/3=8; x-1/3+y+1/2=9; 3(x+1)+2(y-1)=48; 3x+3+2y-2=48; 3x+2y=48-1=47; 2(x-1)+3(y+1)=54; 2x-2+3y+3=54, 2x+3y=59;; (2x+3y=59)3= 6x+9y=177,; (3x+2y=47)2;; 6x+4y=94/5y=83,; y=83/5; 3x+2(83/5)=47; 15x+166=235; 15x=235-166=69; x=69/3=23; 15x=69; x=69/15=23/5 |
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| 43. |
0,Two numbers are in the ratio 5: 7. Their sum is 84. Find the numbers.Dr. |
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| 44. |
7. A milkman sold twoof his buffaloes for t 20,000 each.Onone he muide again ofsu arden the other a loss of 10%.Find his overall gain or loss. (Hint: Find CP of each) |
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| 45. |
1020,000 each. On one, he made a gain of 5% and on the other14. A milkman sold two of his buffaloes fora loss of 10%. Find his overall gain or loss percent. |
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| 46. |
. Sankari purchased 24 m cloth to stich a long skirt and 14 m coth toIf the cost is 120 per metre then find the cost of cloth purchased by h |
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Answer» Total clothes 2 1/2m+1 3/4m=5/2+7/4=20+14/8=34/8=17/4mHenceTotal price will be 17/4*120=17*30=510Rs |
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| 47. |
L A shopkeeper bought a second hand car for1,50.000. He spent10,000 on its painting and repair andthen sold it for2,00,000. Find his profit or loss. |
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| 48. |
A milkman sold two of his buffaloes fort 2000each, one hemade a gain of 5% and on the other a loss of 10%Find his overall gain or loss. (Hint: Find CP of each) |
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| 49. |
A milkman sold two of his buffaloes for ? 20,000 each,On one he made a gain of 5% and on the other a loss of10%. Find his overall gain or loss. (Hint: FindCP of each) |
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| 50. |
ă ),The money spent on the repairs of a house was 2% of its value. If the cost ofrepair is 9600, find the cost of the house.Suhtract the sum f -5xy + 2v and y -2xy3x from the sum of12) |
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Answer» cost on repair is 2% of its value cost on repair = 9600 so cost of house = 9600/0.02 = 480000 |
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