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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. |
prove that root 2 is a irrational numer |
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Answer» therefore √2 is irrational no. |
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| 2. |
Applications of Trigonometry10. The angle of elevation of the top of a tower from a point on the ground is 30°. After walking 45 m415towards the tover, the angle of elevation becomes 45 Find the height of the towerThere are two points on the horizontal line nle 11. |
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| 3. |
Find the SquareRoot of(X+2)² |
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Answer» Hope it helps! :) root((x+2)(x+2))=(x+2) or -(x+2) no |
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| 4. |
Given that root 2 is irrational, prove that (5+3 root3) is an irrational number. |
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Answer» Given that, √2 is irrational To prove: 5 + 3√2 is irrational Assumption: Let us assume 5 + 3√2 is rational. Proof: As 5 + 3√2 is rational. (Assumed) They must be in the form of p/q where q≠0, and p & q are co prime. Then, 5+3√2=p/q3√2=p/q-5hence√2=p-5q/3qWe know √2 is irrationalp-5q/3q is rationalrational is not equal to irrationalhence5+3√2 is irrational |
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| 5. |
find zeros of quadratic polynomial 3 x square minus 2 root 6 X + 2 equal to zero |
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Answer» 3x^2-2√6x+2 |
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| 6. |
Find the non negative square root of product of reciprocal of roots of the equationlog x + 109,6x2 = log 8 2-1 |
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Answer» answer. is. 10. |
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| 7. |
Find the zeros of the polynomial 5 root x square + 30 X + 8 root 5 |
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Answer» 5√5x² + 30x + 8√5 splitting the middle term = 5√5x² + 20x + 10x + 8√5 = 5√5x² + 4 × 5x + (2√5 ) × √5 x + 2√5 × 4 = 5x ( √5x + 4 ) + ( 2√5 ) [ √5x + 4 ] = ( √5x + 4 ) ( 5x + 2√5 ) |
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| 8. |
.V3136 = 2 x 2 x 2 x 7 = 56Worksheet 3Find the square root of each of the following by prime factorisation.(i) 225(ii) 441(iii) 529(iv)| (v) 7744(vi) 8281 (vijy 4096 (viii) |
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Answer» viii) 28900 |
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| 9. |
find product of 9 x square Y and 4 y square x |
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Answer» 9(x^2)(y)*4(y^2)(x)=36(xy)^3 |
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| 10. |
if x-1=6 and xy=8.find x square+y square |
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| 11. |
It being given that 1 is a zero of the polymomial x-6), find isIt being given that 1 is a zero of the polynomial 7xother zeros. |
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| 12. |
At)d) A bullet is fired into a mud bank and penetrates (120t - 3600t^2)meters in t seconds after impact. Calculate maximum depth ofpenetration. |
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Answer» a bullet is fired into mud bank and penetrates (120t-3600t^2)mts.in t after second after impact.calculate the maximus depth of penetration |
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| 13. |
12If 1 is a zero of polynomial ax - 3(a - 1)x-1, then find a. |
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| 14. |
From a point on the horizontal ground, the cosine of the angle of elevation of the top of a tower is 8/17. On walking 152 m away from the tower, the sin of the angle of elevation becomes 7/25. Find the height of the tower.Plzzzz do it as soon as possible...... |
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Answer» Where is answer... The continuation of this page? Sorry.. Got it How is tan theta 8/15 and tan alpha 7/24? Understood!!!! Thanxxxx |
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| 15. |
Find a zero of the polynomial p(x) 2x+1. |
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| 16. |
Solve the following problemsntan ㄧ find the other trigonometric anos ofthe angle |
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| 17. |
12. Obtain the Fourier Series for the function,(i) fix) = ex in the interval [-π , π ] |
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| 18. |
prove root 2 rational no |
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Answer» A proof that the squarerootof2is irrational. Let's suppose √2is arational number. Then we can write it √2= a/b where a, b are wholenumbers, b not zero. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. |
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| 19. |
Phove that |
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| 20. |
Find two numbers in the ratio of 5 to 5, such that when each is diminished by 12, they shall[Ans. 40, 35]2"become in the ratio of 3 to 3. |
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Answer» (5 + 5/7) / 5 = (1 + 1/7) / 1 = 8/7 (3 + 2/3) / 3 = 1 + 2/9 = 11/9 (8x - (12 + 1/2)) / (7x - (12 + 1/2)) = 11 / 99 * (8x - 12 - 1/2) = 11 * (7x - 12 - 1/2)72x - 108 - 9/2 = 77x - 132 - 11/2132 - 108 + 11/2 - 9/2 =77x - 72x24 + 2/2 = 5x24 + 1 = 5x25 = 5x5 = x 8x = 8 * 5 = 407x = 7 * 5 = 35 40,35 |
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| 21. |
The ratio between t0 04of a number is 30 less than the original number then find the number.nefourth part diminished by 5 is equal to one fifth par |
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| 22. |
Find the square root of 169 |
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Answer» as 169 = 13 × 13 = 13²√169 = 13 thanks |
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| 23. |
618351 devide बी 169 |
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Answer» The answer is 3658.8816568047 3658.88 is the correct answer of the given question 3658.8816568047 is the correct answer |
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| 24. |
Thesuccessor of square root of 169 is |
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| 25. |
441169J441- 169 |
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| 26. |
0= 649+0= 8+dpâ%¢ U] |
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Answer» 5x - 4y + 8 = 0......(1) 7x + 6y - 9 = 0......(2) Multiply eq(1) by 3 and eq(2) by 2 15x - 12y = - 24.....(3)14x + 12y = 18......(4) Add eq(3) and eq(4)29x = - 6x = - 6/29 Put value of x = - 6/29 in eq(1) 5*(-6/29) - 4y = - 8-30/29 + 8 = 4y2y = - 15/29 + 42y = (-15 + 116)/292y = 101/29y = 101/58 |
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| 27. |
U (+39) 3(v) 2Find the value of(7)) (3 + 4 ) 22 (1) (2x4422 |
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| 28. |
g0UK3054{\ |
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Answer» 25 × 30 - 40 = 750-40 = 710 |
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| 29. |
find cube root of -2744 |
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Answer» -14 is the best answer 🏆🏆🏆 -14 is the correct answer. -14*-14*-14=-2744 is the best answer cube root of -2744 is -14 -14 is the correct answer of the given question -14 is the best answer -14 × -14 x- 14 =1+8+16=-196×-14= 84+126+14 = -2744 -14 is the cube root of - 2744 -14 is the correct answer -14 is the best answer 14 is a correct answer -14 is the best answer -14 is the best answer cube root of -2744= -14 |
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| 30. |
Find cube root of (-226981) |
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| 31. |
(3) (-48p) = (-9p?) |
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Answer» (16p^2)/3 is the right answer |
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| 32. |
188} 8५ ८] 18 छो 2 पद |EDE) IKE |38 9P (EN SN |pa 2 spagn (Edj) MoK e £ । हुए opay g pey p Enjp BW«Ofi»%muéwwsmmmmqfi .श्र QBRI ISER QOMED Pruke 22:0८ एरि५ हू) है. R |
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| 33. |
9p+16q;13p+2q |
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Answer» addition 9p+16q +13p+2q = 22p+14q subtraction9p+16q-13p-2q = -4p-14q |
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| 34. |
(3) (-48/0*) + (=9p?) A |
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Answer» (-48p⁴) ÷(-9p²) 16p²/3 |
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| 35. |
Find the value of p for which the curves22 9p (9other at right angles.y) and xpy +1) cut each14] |
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Answer» x² = 9p(9-y),..(i) x²=p(y+1)..(ii) hence,. =>9p(9-y) =p(y+1) => 9(9-y)=y+1 =>81-9y=y+1 =>0=y+1-81+9y =>0=10y-80 => -10y=-80 => y=8,.....(iii) (i)=> x²=9p(9-y) =>x²=9p(9-8) =>x²=9p...(iv) =>>p=(x/3)*(x/3) |
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| 36. |
coins is 160. How many CMS16. The organisers of an essay competition decide that a winner in thecompetition gets a prize of 100 and a participant who does not win getsa prize of *25. The total prize money distributed is 3,000. Find thenumber of winners, if the total number of participants is 63. |
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Answer» The right answer is 19 |
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| 37. |
The present price of a machine isäšbefore two years.2¡15.463. If its value depreciates every year by 6%, then find its val |
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Answer» Please hit the like button if this helped you |
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| 38. |
8. Kuber and Manavi equallydivide among themselves theleftover pizza shown at the right.What fraction of the whole pizzadoes each person get?labon |
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Answer» each will get 4 each 3 1/2 three and half will be the answer number of pieces of pizza left = 7number of persons = 2 each person get = 7/2 fraction of whole pizza they get = (7/2)/8 = (7/16)th part ANS.. 3.5 piece of pizza each will get |
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| 39. |
Che value of a machine depreciates every year by 10%. If the present value of thesachine is 54000. what was its value last year?in sol |
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| 40. |
-The present price of a machine is15,463. If its value depreciates every year by 6%, then find its valbefore two years. |
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| 41. |
03.find cube root of 9000. |
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Answer» cube root of 9000 is 20.8008382305 |
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| 42. |
LUL dwu l-16. The organisers of an essay competition decide that a winner in thecompetition gets a prize of Rs 100 and a participant who does not win getsa prize of Rs 25. The total prize money distributed is Rs3.000. Find thenumber of winners, if the total number of participants is 63. |
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Answer» Let the no. of winners be x & the no. of runner ups be 63-xATQ,100(x) + 25(63-x) = 3000100x + 1575 - 25x = 300075x + 1575 = 300075x = 3000 - 157575x = 1425x = 1425/75x = 19No. of winners = 19No. of runner ups = 44. |
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| 43. |
Q3.find cube root of 9000. |
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Answer» 9000 = 9*1000 = 9*100*10√9*100*10 = 3*10*√10 = 30√10 1) Use a calculator with a square root function.2) If you've memorized the square root of 10, multiply that by 303) Use a table of logarithms, and look up the antilog of 3+log9.4) Evaluate the infinite series representation of a^n with a = 9000 and n = 1/25) Use an iterative process such at Newton's method to successively approximate the solution until it's as accurate as you need.6)... √9000 ≈ 94.868329805051379959966806332982 |
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| 44. |
7. A plot of land has a shape of a parallelogram.It isto be covered by mud. Find the cost of spreadingmud at the rate of Rs 100 per square meter whilethe adjacent sides of the plot are 39 m and 25 mand the diagonal is 56 m |
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| 45. |
५ 6१ ५|+16%4yl— 169 |
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Answer» 4.25 4.25 |
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| 46. |
diagonalis.ell.7. A plot of land has a shape of a parallelogram. It isto be covered by mud. Find the cost of spreadingmud at the rate of 100 per square meter whilethe adjacent sides of the plot are 39 m and 25 mand the diagonal is 56 m. |
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| 47. |
"1) 9p+ 169 ; 13p + 2q |
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Answer» 22p+18q is the correct answer of the given question 22p+18q is a coorect answer of the given question 9p+16q+13p+2q22p+18q is the best answer 22p+18q is the correct answer |
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| 48. |
4, 9, 25, ..?.. , 121, 169, 289, 361 |
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Answer» The given series is sqaure of prime numbers 2² = 43² = 95² = 25? will be 7² = 4911² = 121 |
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| 49. |
Cost of a small pizza is two and a half times the cost of a regular burger. Express thisstatement in the form of linear equation in two variables. |
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Answer» pizza = x burger = y x = 5/2 y 2x = 5y |
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| 50. |
The cost of bike depreciates every year by15% of its value at the beginning of theyears. If the present cost of bike is 40000find its cost after two years. |
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Answer» Depreciation rupees first year year=15/100*40000=6000After one year cost=40000-6000=34000Cost depreciation for second year =15/100*34000=5100Final cost after two years= 34000-5100=28900 thank you😎😇☺️🙂😎😉 |
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