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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. |
(D)If 4x + 5y #23 and xy6, find the value of 16x2 + 25 |
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| 2. |
6 Find the area of a quadrant of a circle whose circumference is 25 cm. |
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| 3. |
Fund wheo tret the followngpaeohe followunauut Ouations has a urtahe ottionFund the soludion:. It ulsŃ .zt |
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Answer» 7x - 4y - 49 = 0 ......(1) 5x - 6y - 57 = 0 .......(2) So, here we have 7/5 is not equal to -4/-6 = 2/3 Therefore unique solution exists. To solve 3 × eq(1) - 2 × eq (2) 21x - 12y - 147 = 010x - 12y - 114 = 0 Solving we get11x - 147 + 114 = 011x - 33 = 011x = 33x = 3 So, from (1)21 - 4y - 49 = 0- 4y - 28 = 04y = -28y = -28/4 = -7 |
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| 4. |
interest and by how mach.In bow many years willS000 amount to10,648 at 10% pa. compounded annually |
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Answer» Thanks very much |
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| 5. |
Evaluate:Homework and Pract1. Finding distances using similar triangles is calledtttan ar & ARC and A YYZ to find the missing hei |
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Answer» Finding distance using similar triangles is called indirect measurement |
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| 6. |
the room are 10 m17. The area of the 4 walls of a room is 168 m2. The breadth and heiand 4 m respectively Find the length of the room |
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| 7. |
(h) On subtracting a number from the same number, the difference will be(iii) 1) (iv) the number itself |
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| 8. |
Three-fourth of a number minus 5 leaves 7. |
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Answer» Let the number=X3x/4-5=73x/4=7+53x=4(12)X=48/3X=16 |
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| 9. |
- ac)x + (c-ab) -聊冢前,乖(Imp) |
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| 10. |
1. Adding 4 to twice a numbér yie2. A number when added to its two-thirds is equal to 55. Find the numeet hy 45. Find the numer |
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| 11. |
Three - fourth of a number minus 5 leaves 7 |
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Answer» 3/4p-5= 7 is the equation form of the above statement. |
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| 12. |
Adding 4 to twice a number yieldsFind the number.25 |
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Answer» Let the number be x So, according to question, 2x + 4 = 25/6 2x = 25/6 - 4 2x = (25 - 24)/6 2x = 1/6 x = 1/12 So, number is 1/12 |
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| 13. |
5 The cost of 20 tables is Rs 25000 How many tables can be purchased for RsAnsa) 30 b) 26 c)26 d).Nono(457つAnsa) 64cma b) 512 cm, c) 729cm? d) (che i )Ans a) 1600 sq cm b) 1400cm2 c) 400cm d) (die au l )45000The volume of a cube Whose side is B cris (8 CERTHRa。RA emaThe area of a square whose side 40㎝ is-4tsR 짼 C 께 40 CEfa. Ut) |
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Answer» volume of cube = (side)^3 = (8)^3 = 64*8 = 512cm^3 |
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| 14. |
256Find the number.1. Adding 4 to twice a numblds |
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| 15. |
. Adding 4 to twice a number yields25 / 6Find the number. |
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Answer» let the number be x4 + 2x = 25/62x = 25/6 -42x = (25-24)/62x = 1/6x = 1/12 |
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| 16. |
Adding 4 to twice a number yields 25/6. Find the number. |
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Answer» let the number be x4 + 2x = 25/62x = 25/6 -42x = (25-24)/62x = 1/6x = 1/12 |
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| 17. |
Which polynomial will you get after subtracting (4+9y + 2x) from the sumof (8x- 6y +4) and (6y-3x+ 7)? |
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Answer» Sum of 8x - 6y + 4 and 6y -3x + 7 8x - 6y + 4 + 6y -3x + 75x + 11 Now we will carry subtraction so,5x + 11 - (4 + 9y + 2x)5x + 11 - 4 - 9y - 2x3x - 9y + 7 |
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| 18. |
and-NjenCan see 11 hiatancethe top theComenca round the pae is nag mthen find the heiline thowmiiade by the |
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Answer» Here l=113 and πrl=3942422/7×r×113=39424r=111cmNow l=113so r^2+h^2=113^2h=√(113^2-111^2)=21.16m |
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| 19. |
12. In the given figure, AB is a diameter of a ciwith centre O and DO CEB.If 4BCD 120°, calculate(i) <BAD, (ii) <ABD,(ii) 4CBD, (iv) ZADC.Also, show that AAOD is an equilateraltriangle.0120 |
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| 20. |
1 :Solve the differential equation ay +-y-=0. |
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Answer» it's not correct answer:sin-1 x+sin-1 y=c |
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| 21. |
A number leaves 7 by subtracting 2 from 1/5part of it. Find the number. |
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| 22. |
24. Show that the points A(-5, 6), B(3, 0) and C(9, 8) are the verticesisosceles right-angled triangle. Calculate its area. |
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| 23. |
21. If two isosceles triangles have a common base, the line joining their vertices bisects themat right angles. |
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Answer» Given:ΔABC and ΔDBC are isosceles triangle with common base BC. AB = AC and BD = DC. To prove:AD bisects BC at 90°. Proof: In ΔABD and ΔACD, AB = AC (Given) BD = CD (Given) AD = AD (Common) ∴ ΔABDΔACD (SSS Congruence criterion) ⇒ ∠1 = ∠2 ...(1) (CPCT) In ΔABE and ΔACE, AB = AC (Given) ∠1 = ∠2 [Using (1)] AE = AE (Common) ∴ ΔABEΔACE (SAS congruency criterion) ⇒ BE = CD ...(2) (CPCT) and ∠3 = ∠4 (CPCT) Now, ∠3 + ∠4 = 180° (Linear pair ) ∴ 2∠3 = 180° (∠3 = ∠4) ⇒ ∠3 = 90° ...(3) Hence, AD bisects BC at 90° [Using (2) and (3)] |
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| 24. |
6 दणब८ :5००८-1 _ 65809+0 पाई 310 U850 9.°09¢71 Oz कु §500—UIS । |
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Answer» (SinA+cosA)/(sina-cosa)+(sina-cosa)/(sina+cosa)=((Sina+cosa)^2)+((sina-cosa)^2)/((sina-cosa)(sina+cosa))=(Sin^2a+cos^2a+2sinacosa+sin^2a+cos^2a-2sinacosa)/(sin^2a-cos^2a)=2(sin^2a+cos^2a)/(sin^2a -cos^2a )=2/(sin^2a -cos^2a ) |
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| 25. |
a two digit number is obtained by either multiplying the sum of the digit by 7 and adding 3 or by multiplying the difference of the digit by 16 and adding 4 find the number |
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| 26. |
7. Without adding, find the sum of the following(a) 1+3+5+7+9 |
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Answer» Sum of first n odd number is n² Sum of first five odd numbers is 5² = 25 |
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| 27. |
3, SAhano saia,by 5Same ansa Subtiamumber fom 2o Find Suhana'smumbexsand addingto it gives the |
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Answer» Let's take suhana's no. as x,x × 5 + 8 = 20 - x5x + x = 20 - 86x = 12x = 12 / 6x = 2 |
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| 28. |
3. The sum of the digits of a 2-digit number is11. The number obtained by adding 4 to thisnumber is 41 less than the reversed number.Find the original number. |
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Answer» 14 is the correct ans for this ques. 14 is the right answer 14 is the right answer 14 is the right answer 14 is the right answer 14 is the correct answer 14 will be the answer for this question because reversed of 41 is 14 14 is the correct answer 14 is the correct answer |
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| 29. |
3) The sum of the digits of a 2-digit number is11. The number obtained by adding 4 to thisnumber is 41 less than the reversed number.Find the original number. |
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| 30. |
Subtracting-2+5xy from3x2-3xy +8, we get. |
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| 31. |
The elling ptce eftuo olandlcesmakieS000 Paeor H |
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Answer» Please ignore the above image Now cp of A = 3y = 25000Profit = 5000% profit = 5000 x 100/25000 = 20% |
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| 32. |
9, AN O < (०86 , thom Find B |
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| 33. |
11 Find the valuesA, B, C.D. E. F and G/ABCEB9cHCES |
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Answer» This question seems absurd as(AB)² = CDEEB, how can sqaure of 2- digits number can be 5-digit. |
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| 34. |
an equmatelai24. Show that the points A(-5, 6), B(3, 0) and C(9, 8) are the verticesCesisosceles right-angled triangle. Calculate its area. |
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| 35. |
ve the followingภDavid says that he has-shirts short of two-thirds for the number ofshirts that Joe has. If Joe has 21shirts, how many shirts does David have? |
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| 36. |
9 soo09 UIS (B)08 + T |
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| 37. |
xample : The angles of depression ofthe top and the bottom of an 8 m tall buildingfrom the top of a multi-storeyed building are 30° and 45e, respectively. Find the heightof the multi-storeyed building and the distance between the two buildings. |
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Answer» thank you answer is correct |
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| 38. |
Find the number which give 53 on multiplyinby 7 and subtracting 3 from thed |
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Answer» Let "x" be that numberas given (x*7)-3 = 53so ,7x -3 =537x=56 so x = 8so the number is 8 thank you so much |
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| 39. |
A two digit no. is obtained by either multiplying the sum of digit be 8 and then subtracting 5 or by multiplying the difference of digit by 16 and then adding 3 find the number. |
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| 40. |
A two-digit number is obt in d by either multiplying the sum of the digits by 8 and thensubtracting 5 or by multiplyng the difference of the digits by 16 and then adding 3. Find thenumber |
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Answer» Solution :- Let the two digit number be 10x + y where x is the tens digit and y is the ones digit. Now, according to the question.10x + y = 8(x + y) - 510x + y = 8x + 8y - 510x - 8x + y - 8y = - 52x - 7y = - 5 .................(1) And,10x + y = 16(x - y) + 310x + y = 16x - 16y + 310x - 16x + y + 16y = 3- 6x + 17y = 3 ................(2) Now, multiplying the equation (1) by 17 and (2) by 7, we get34x - 119y = - 85 ...............(3)- 42x + 119y = 21 ..............(4) Now, adding (3) and (4), we get 34x - 119y = - 85- 42x + 119y = 21_________________- 8x = - 64_________________ ⇒ 8x = 64x = 64/8x = 8So, tens digit is 8. Substituting the value of x = 8 in (1), we get2x - 7y = - 52*8 - 7y = - 516 - 7y = - 5- 7y = - 5 - 16- 7y = - 217y = 21y = 21/7y = 3 Ones digit is 3.So, the required number is 83. |
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| 41. |
sinA+sinA=1 find the value of A |
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Answer» sinA+sinA=12×sinA=1sinA=1/2 Therefore A=30 thnks sinA+sinA=12(sinA)=1sinA=1/2[ here 1/2 is denoted by sin 30]therefore A= 30 |
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| 42. |
) Find the integrating factor of thelinear differential equationay-y=cos xdx |
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| 43. |
15cotA =8 find sina and cosa |
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| 44. |
23. 8tanA- 15, find sinA - cosA |
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| 45. |
1. Find the value of x in the following figures.80°2(x + 15°)62°40% /< x + 200(eFig. 9.21 |
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Answer» thank you very much can you give me the ans of all questions |
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| 46. |
INNINGS 9.2. Find the value of x in the given figures:0°o (e)5040°130 |
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Answer» Di, you have to answer (d) |
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| 47. |
-1,-22.(i)2x3 +x2-5x + 2: |
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Answer» 2x*x*x + x*x - 5x + 2 = 0 2x*x*x - 2x*x + 3x*x - 3x - 2x + 2 = 0 (2x*x + 3x - 2)(x-1) = 0 (2x*x + 4x - x - 2 )(x-1) = 0 (2x-1)(x+2)(x-1) = 0 x = -2,1,1/2 If you find this answer helpful then like it. |
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| 48. |
text\differentiate\sqrt { \frac { ( x - 3 ) \left( x ^ { 2 } + 4 \right) } { 3 x ^ { 2 } + 4 x + 5 } } \text { wrt } x |
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Answer» 2 |
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| 49. |
p=»d-xpr=»A+x -,: B 2p 210 Jnaj onuausth 3 £ नया RS £3}100 T |
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Answer» x+y=14x-y=4 Adding the equations,2x=18x=18/2=9y=5 Therefore, x=9 and y=5 |
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| 50. |
After a 20% hike, the cost of refrigerator is?15300. What was the original price of this reheThe price of a T. V. is í¨ 3000. The sales tax charged on it is at the rate of 12% Find the annuhave to pay, if he buys it.5.6. |
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