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. |
The 1s and the 8th term of a GP are 4 and 512 respectively. Find:(i)the common ratio(ii) the sum of its first 5 terms |
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Answer» it is not clear |
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| 2. |
3. In the given figure, As PQR and SROare right angled at P and S respec-tively.Given, PR = QS.Prove that APQR = ASRQ. |
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Answer» hhhhjshhksgskshdjkagdjs |
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| 3. |
3. In the given figure, As PQR and SRQare right angled at P and S respec-tively.Given, PR = QS.Prove that APQR E ASRQ. |
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| 4. |
1.5x+5=40 |
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Answer» 5x+5=405x=40-55x=35x=35/5x=7 |
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| 5. |
)Find the first term and 16th term of an AP whose 8h and13th terms are 18 and 28 respectively. |
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| 6. |
ORm, a conmical cavity of tcavityFromheight andthe nearest cm.a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conicalsame diameter is hollowed out. Find the total surface area of the reIni/4s105°. Now, construct a trianat |
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Answer» The outer surface area of the cylinder = 2πrh = 2 x 3.14 x 0.7 x 2.4 = 10.55 cm² slant height of the cone, L = √(h² + r²) =√(2.4² + 0.7²) = √6.25 = 2.5 cm hence outer surface area of the cone = πrL = 3.14 x 0.7 x 2.5 = 5.5 cm² This outer surface area of the cone is equal to the inner surface area of the hollow portion of the cylinder left. surface area of the cylindrical base = πr² = 3.14 x 0.7² = 1.54 cm² Hence total surface area of the remaining solid = The outer surface area of the cylinder + inner surface area of the hollow portion of the cylinder left + surface area of the cylindrical base = 10.55 + 5.5 + 1.54 = 17.59 cm² = 18 cm² (rounded off to nearest cm²) Hence the total surface area of the remaining solid will be 18 cm² Like my answer if you find it useful! |
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| 7. |
x51y21x101-21 = 2 , wherećą#-1 and x #1x +1y-12,2 x+1 y-1 2 |
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Answer» 5/(x+1) - 2/(y-1) = 1/2 10/(x+1) + 2/(y-1) = 5/2 Add both the equation 5/(x+1) - 2/(y-1) + 10/(x+1) + 2/(y-1) = 1/2 + 5/2 15/(x+1) = 6/2 x + 1 = 5 x = 4 From first equation 5/5 - 2/(y-1) = 1/2 2/(y-1) = 1 - 1/2 = 1/2 y - 1 = 4 y = 5 If you find this answer helpful then like it. |
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| 8. |
- Inan apiin a 3=151510=125 finda and8h |
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| 9. |
Please answer.24 HRYLhe = 9G = L8H = 89 - b |
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Answer» 9=638=487=356=244=12 is the correct answer 12 is the right answer hsjsjskslalakkkjjjjj to be a part of the team and correct answer 8 4= 8 is the best answer 9=638=487=356=244=12iis the correct answer answer is 12.because 9=63 9/7= answer is 12.because 9×7=63.8×6=48.7×5=356×4=24then, 4×3=12. 9*7=638*6=487*5=356*4=244*3=12 Answer is right |
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| 10. |
i) Find the locus of a point P such that the sum of its distances from (0, 2) and (0,-2)īs 6.Find the locus of the vertex A of an isosceles triangle whose base is the lineiii) |
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Answer» send with p (x,y ) |
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| 11. |
6. Divide the following to get the quotientremainder-;) 4x² - 2 by 2x-3 |
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Answer» i think the answer is 2x-3 I think the answer is 2x, _3 I think the answers is 2 x - 3 happy environment day I think the answer is 2 x + 3 i think the answer is 2x-3 |
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| 12. |
5. Find the equation of the set of points P, the sum of whose distancesfromA (4, 0, 0) and B (-4, 0, 0) is equal to 10. |
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| 13. |
What should be added to 2x + 5x to get 3x - 2x + x + 15zWhat must be subtracted from 2x + 4x - 3x + 7 to get 3x-x+ 2+1 |
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Answer» no! =;#= $!÷;×!÷!3*4!4!!3 ÷!=;÷ ÷:× =;#::×: ::× 2 ×3 × 3 ÷ ÷ ÷ 31 +;÷! in first question you must subtract first equition to second . |
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| 14. |
13. By what number should (-30)-' be divided to get 6-l?2x-1 |
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Answer» Let the required number bex.−30−30-1÷x= 6-1⇒1/(−30)×1/x=1/6 1/(-30)×1/x=1/6 ⇒1/(−30x)=1/6 1(-30x)=1/6∴x=6/(−30)=1/−5Hence, the required number is−1/5 hence required banswer is -1/5 36 it is right answers |
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| 15. |
51*51-50*50= |
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Answer» 51*51 - 50*50= 2601 - 2500= 101 |
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| 16. |
13.yf the perimeter of a square is increased by 25%, theincrease in its area will be(A) 24%(C) 56.25%(B) 54%(D) 71.35% |
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| 17. |
3. Find five rational numbers betweenand |
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Answer» Five rational numbers between 3/5 and 4/5 In order to find five rational numbers Multiply and divide each of these by 6. Then we get numbers3/5 = 3*6/5*6 = 18/304/5 = 4*6/5*6 = 24/30 Now five rational numbers between 18/30 and 24/30 are19/30, 20/30, 21/30, 22/30, 23/30 |
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| 18. |
Qs yf P(E)-0.67 then find P(not E)-? |
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Answer» P(E) = 0.67P( not E) = 1-0.67 = 0.33 |
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| 19. |
1(x ER)Therangeoffunction,f(x)=Einar,(xER)1s:(2) 3' 2.l[, ěŚ1(3)' 3(4)[2, 3] |
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Answer» Minimum f(x) when denominator maximum4-sin2x maximumDifferentiate-2cos2x=0x=45Put x =451/(4-1)=1/3option 3 is correct |
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| 20. |
Solve:1. 5x+5 40 |
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Answer» 5x + 5 = 40 5x = 40 - 5 5x = 35 x = 35/5 x = 7 |
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| 21. |
If the ath term of an A. P. be 1/b and bth term be l/a then show that its (ab)th term 1s 1. |
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Answer» Given that, mth term=1/n and nth term=1/m.then ,let a and d be the first term and the common difference of the A.P.so a+(m-1)d=1/n...........(1) and a+(n-1)d=1/m...........(2).subtracting equation (1) by (2) we get,md-d-nd+d=1/n-1/m=>d(m-n)=m-n/mn=>d=1/mn. again if we put this value in equation (1) or (2) we get, a=1/mn.then, let A be the mnth term of the APa+(mn-1)d=1/mn+1+(-1/mn)=1 hence proved. |
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| 22. |
.) the 8h term of an AP is zero. Prove that its 38h term istriple of its 18th term. |
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| 23. |
Solve is-5-5x + 11 |
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Answer» 3x - 5 = 5x + 115x - 3x = - 5 - 112x = - 16x = - 16/2 = - 8 Value of x is - 8 |
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| 24. |
the 8th term of an AP is zero. Prove that its 33th term istriple of its 18th term. |
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| 25. |
find the 2 nop in A.P whose sum and produeI are band 6 respectively |
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Answer» Let the three numbers be a-d,a,a+d Sum of numbers=6 a-d+a+a+d=6 a+a+a=6 3a=6 a=2 Product of numbers=6 a-d×a×a+d=6 a-d×a+d×a=6 [a-b×a+b=a^2-b^2] a^2-d^2×a=6 Substitute the value of a 2^2-d^2×2=6 4-d^2=6/2 4-d^2=3 -d^2=3-4 -d^2=-1 d^2=1 d=root over 1 d=+ or - 1 Therefore A.P will be a=2 d=1 2,3,4,5,6........... Or a=2 d=-1 2,1,0,-1,-2.......... |
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| 26. |
14. Amrit bought a DVD for 520. Due to some defect, he spent 40 on ita repairs and sold it for 640. Find hisgain or loss per cent. |
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Answer» wrong ans is 3 4upon7 3.47 |
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| 27. |
Exercise 13.11 Construct a quadrilateral ABCD in which AB = 4,8 cm, BC = 4 cm. CD = 4.5 cm,AD38 cm and diagonal AC-6 cm. |
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| 28. |
xample 8: What should be subtracted from 5x-3y + 8 to get 2x + y + 5 |
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Answer» 5x -3y +8 -2x+y-5= 3x -2y +3 3x-2y+3 is the answer (5x+3y+8)- (2x+y+5)=5x+3y+8-2x-y-5= 5x-2x+3y-y+8-5= 3x+2y+3 should be substrate 5x -3y +8 -2x+y-5= 3x -2y +3 |
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| 29. |
9. (i) What per cent of 1.5 m is 60 cm?(iii) What per cnet of 6 is 40 p? |
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Answer» In 1.5m = 150cm60/150*100= 6000/15040 percentage 2) 40/600*100= 40/6= 6.6 percentage |
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| 30. |
3Find five rational numbers between |
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Answer» multiply both numbers by 10 and write 5 rational number |
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| 31. |
3. Find five rational numbers between |
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Answer» let n=5we convert |
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| 32. |
XAMPLE 8Solve the following equations:0(i) sin 2θ+cos θ[NCERT] |
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| 33. |
3.Find five rational numbers betweenand |
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Answer» By multiplying 10/10 to denominator and numerator30/50 and 40/50nowthe rational number31/50,32/50,33/50,34/50,35/50 |
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| 34. |
24x²y/8xy |
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| 35. |
Solve 5x-2(2x-7) = 2(3x2 |
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Answer» 5x-4x+14=6x-2+(7/2)5x=16-(7/2)5x=(32-7)/25x=25/2 x=5/2 |
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| 36. |
2. Solve04x2+ 5x =0 |
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| 37. |
\begin{array} { l } { \text { Write the sum without actually adding. } } \\ { \text { (a) } 3 + 4 + 5 } \end{array} |
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| 38. |
If asin θ + bcos θ = c, then prove that acos 0-bsin θ = Va 2 + b 2-c2 |
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Answer» Acosx - bsinx = c ------(1) take square both sides a²cos²x + b²sin²x -2absinx.cosx = c² ----(1) asinx + bcosx = L --------(2) take square both sides a²sin²x + b²cos²x +2absinx.cosx = L² ----(2) add equations (1)and (2) a²(sin²x + cos²x ) + b²( sin²x + cos²x ) = c² + L² a² + b² = c² + L² L² = a² + b² -c² L = ±√( a² + b² - c²) asinx + bcosx =±√(a² + b² - c²) |
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| 39. |
14. Without actually calculating the cubes, find the value of each of the following |
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| 40. |
In a bolt factory, machines A, B and C manufacture 25, 35 and 40 per cent. Of the total oftheir output 5, 4, and 2 per cent are defective. A bolt is drawn at random and is found tobe defective. What are the respective probabilities that it was manufactured by themachines A B and C? |
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Answer» I can't see ur answer clearly |
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| 41. |
0-8 Brton Be One-third of his parents hawe lousih to his daughter the Romanنحانه تاج طنيا هنا وعملات |
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| 42. |
olvioa1S5. Find all zeroes of the polynomialss+18if two of its zeroes are va22 |
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Answer» let me know if there is any doubt please do it in a simple manner with out taking αβetc |
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| 43. |
Find ive Taio3Find five rational numbers betweenand52 |
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| 44. |
The digit in the tens place of a two -digit number is three times thait to therex idigits are reversed. the new number will be 36 less than the original sbe aoriginal number. Check your solution |
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| 45. |
Kumar buys a Maruti car for 2,40,000 at a down payment of R 1,20,000 and the rest inannual instalments of 10,000 plus 12% interest on the unpaid amount. Eventually whatwill the car cost him? |
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Answer» Given that the kumarpays Rs 120000 in cash.Therefore, unpaid amount = Rs 240000 – Rs 120000 = Rs 120000According to the given condition, the interest paid annually is12% of 120000, 12% of 110000, 12% of 100000, …, 12% of 10000Thus, total interest to be paid = 12% of 120000 + 12% of 110000 + 12% of 100000 + … + 12% of 10000= 12% of (120000 + 110000 + 100000 + … + 10000)= 12% of (10000 + 20000+ 30000 + … + 120000)Now, the series 10000, 20000, 30000 … 120000 is an A.P. with both the first term and common difference equal to 10000.Let the number of terms of the A.P. ben.∴ 120000 = 10000+ (n– 1) 10000⇒ 1 + (n– 1) = 12⇒n= 12∴Sum of the A.P =12[2(10000)+(12-1)(10000)]/2= 6[20000+110000]= 6(130000)= 780000Thus, total interest to be paid = 12% of (10000 + 20000 + 30000 + … + 120000)= 12% of 780000= Rs 93600Thus, cost of car= (Rs 240000 + Rs 93600) = Rs 333600 tq |
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| 46. |
,p(x) =x3-6x2 + 9x + 3, g(x)-x-1. |
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| 47. |
The sum of the digits of a two-digit number is 12. The numberobtained by interchanging its digits exceeds the given number by 18.(CBSE 2006] |
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Answer» Let the tens digit is x and unit digit is y The number is 10 x + y 10 x + y +18 = 10 y + x 9 x - 9 y = -18 x - y = -2 ………(1) x + y = 12….(2) 2 x = 10 Therefore x =5 From equation 2, 5 + y - 12 Therefore y = 7 The number is10*5+7= 57 hit like if you find it useful |
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| 48. |
16. A two-digit number is such that the product of its digits is 35. If 18is added to the number, the digits interchange their places. Find thenumber(CBSE 2006) |
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Answer» Here is your answer for this question. Thank you |
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| 49. |
16. A two-digit number is such that the product of its digits is 35. If 18is added to the number, the digits interchange their places. Find theCBSE 2006]number. |
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| 50. |
16. A two-digit number is such that the product of its digits is 35. If 18is added to the number, the digits interchange their places. Find the[CBSE 2006]number |
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