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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. |
For what value of p will the following pair of linear equations have infinitely manysolutions(p-3)x+3y ppx+py 12 |
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| 2. |
compietely ed wiwaterQ.16.Three hourses A, B and C are in a race, A is twice as like to win as B and B is twice as like to win as Cwhat are their probabilities of winning? |
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Answer» First of all assume that probability of winning of C is "X"So according to the question probability of Winning of B will be 2Xand then again the probability of winning of A will be= 2*2X =4XAlso in this case of probabilityX+2X+4X = 1 Hence by solving it 7X=1 So the X=1/7 Which means the probabilitywinning of horse C will be 1/7The the probability of winning of horseB will be = 2/7And the winning of probabilityof horse A will be = 2*2/7 = 4/7 |
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| 3. |
Q. Find the value(s) of k for which the equation x2 + 5kx + 16 = 0 has real and equalroots. |
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Answer» x^2+5kx+16= 0for equal roots= D= 0b^2= 4ac(5k)^2= 4x 1625k^2= 64k^2= 64/25k= 8/5 |
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| 4. |
A rectangular water reservoir contains36,000 L of water. Find the depth of thewater in the reservoir, if its base measures8 m by 4 m. Also, find the surface area of thereservoir. |
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| 5. |
A rectangular water reservoir contains 36,000 L of water. Find the depth of the water in the reservoir, if its base measures 8 m by 4 m. Also, find the surface area of the reservoir. |
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Answer» B=360008*4=36000l=900b=400answer =900,400 |
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| 6. |
. A reservoir in the form of the frustum of a right circular cone contains 44x 10litres of water which fills it completely. The radii of the bottom and top of thereservoir are 50 metres and 100 metres respectively. Find the depth of water and thelateral surface area of the reservoir.(Take π-22/7)A NSWERS |
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| 7. |
1. A rectangular water reservoir contains 36,000 L of water. Find the depth of thewater in the reservoir, if its base measures8 m by 4 m. Also, find the surface area of thereservoir |
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Answer» Given length of the rectangular reservoir [cuboid] = l =8mBreadth = b =4mLet theDepth(height) of the cuboid be `h`Given volume = 36000 litre = 36m³We know that the volume of a cuboid = lbh⇒8m× 4m× `h`m = 36m³⇒32h m³ = 36m³⇒h = 36m³/32m³∴h = 9/8m∴The depth of the reservoir is 1.125 m |
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| 8. |
A reservoir in the form of the frustum of a right circular cone contains 44 x 10litres of water which fills it completely. The radii of the bottom and top of thereservoir are 50 metres and 100 metres respectively. Find the depth of water and thelateral surface area of the reservoir. (Take π-22/7) |
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| 9. |
A reservoir in the form of the frustum of a right circular cone contains 44 x 107 litres ofwater which fills it completely. The radii of the bottom and top of the reservoir are 50metres and 100 metres respectively. Find the depth of water. Also, find the lateral surfaceof the reservoir. |
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| 10. |
53.a are the roots of x + px+g0If B &and α4.B" are the roots of X2-X+3-0then the equation x -4qx 2q -rhas always (p, q, r, s e R)(1) two real roots(2) two positive roots(3) two negative roots(4) one positive and one negative root |
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| 11. |
A rectangular reservoir is 120 m long and 75 m wide. At what speed per hour must waer VicPWinto it through a square pipe of 20 cm wide so that the water rises by 2.4 m in 18 hours? |
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Answer» your answer is wrong the correct answer is 750 km/hour |
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| 12. |
Find the equation whose roots are one less thanthe roots cf the equation x2+ 10x +22 0. |
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| 13. |
The quadratic equation whose one of the roots isV5 and the product of the roots is-215 will be : |
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| 14. |
Prove that : tan (180° - 6) cosec (180° + ) - sin (90° - 6) = tan © sin ® |
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| 15. |
Е-1"If b > a, then the equation (x-a) (x-b)-1-0, has:(A) both roots in [a, b](C) both roots in [b, oc)(B) both roots in (-oo, a)(D) one root in (-co, a) & other in (b, co)thon the set of values |
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| 16. |
cos (180+x).cos (-x) /sin (180-x) cos(90+x) |
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| 17. |
--ax2 +dx + c, where ac0, then P(x). Q(x)-0 has(x)=ax" + bx + c and Q(x)(A) exactly one real root(C) exactly three real rootsQ. IIf P(B) atleast two real roots(D) all four are real roots |
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Answer» For the first equation without loss of generality assume a>0 then since none of a and c is zero graph of P(x) will be -ve at -infinity and +ve at +inifinty so it will cut x axis at once atleast Same is the case with Q(x) So totally the P(x)Q(x)=0 will have atleast 2 real roots |
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| 18. |
Write the nth term of an A.P, the sum of whose n terms is S |
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| 19. |
find the sum to n terms whose nth term is (square of n +2 raise to power n)? |
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Answer» thanks |
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| 20. |
two candidates A and B contested an election the total votes were polled 9650 if a got 54% of the votes find the number of votes received by each |
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Answer» Total votes = 9650Percentage of votes A got = 54% Votes A received = 54×9650÷100 = 5211 Votes B received = 9650 - 5211 = 4439 |
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| 21. |
0,-180 is the same rotation asi o. 180SR 90, 180R go. 180R o,9o |
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Answer» Since 0, -180 is the rotation and if you look at the other rotations like 90, 180 the first rotation would be different. so 0, 180 is the same as 0, -180 because they both would be a full rotation of a 180 rotation. The first number "0 ," would have to be the same. |
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| 22. |
what is deforestation in forests??????:-) :-) :-)! :-) :-) :-)! :-) :-) :-) :-) :-) |
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Answer» Deforestationis the permanent destruction offorestsin order to make the land available for other uses cutting down trees is called deforestatiom |
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| 23. |
ing Test Paper-Class 10 (Code A)Two students while solving a quadratic equation in x, one copand got the roots as 3 and 2. The other copied the cons- 6' and '1' respectively. The correct roots arethe constant term incorrectlytant term and co-efficient of x? asx, one(A)3,-2(B)-3, 2(D) 6,-1 |
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Answer» The roots obtained by the first person are 3 and 2, so the equation solved by the first person is (x-3)(x-2)=0 that is x^2 -5x + 6 = 0.We know that only the constant term is wrong in the first person's case.So, the co-effecient of x square term is 1 and that of x term is -5.From the case of the second person, the correct constant term is -6. So, the equation is x^2-5x-6=0This can be written as x^2-6x+x-6=0; x(x-6) +1(x-6)= 0;That is (x-6)(x+1) = 0 which implies, x=6 or -1So, the roots of the equation are 6 and -1Answer is 6 and -1 |
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| 24. |
7. Two candidates attempt to solve a quadratic equation of the form xpx + q0Onestarts with a wrong value of p and finds the roots to be 2 and 6. The other starts with awrong value of q and finds the roots to be 2 and - 9. Find the correct roots and theequation. |
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| 25. |
Find the median ofi) 10, 32, 17, 19, 21, 22, 9, 35) 55, 60, 35, 51, 29, 63, 72, 91, 85, 82 |
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Answer» thank you................. 12+22+32+...+82=? 12+22+32+...+82=? |
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| 26. |
The table below shows the ages of the patientNo. Of patientAge (in Years)5-1515-2525-3535-4545-5555-65212314Find the mode of the data. |
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| 27. |
2.In a field, if 987 seedlings are planted in 7 rows with anequal number of seedlings in each row, how manyseedlings are planted in each row? |
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Answer» 987/7 = 141 no of seedlings...so the answer is 141 seedlings per row |
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| 28. |
In a field, if 987 saplings are planted in eachrrows with an equal number of seedlings in eachrow, how many seedlings are planted in each row?12 |
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Answer» Let x number of seedlings are planted in each row. Totat number seedlings = 987 Then,7*x = 987x = 987/7 = 141 Therefore, there are 141 seedlings in each row |
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| 29. |
13. The amount that a gardener receives on selling 180seedlings is the same as the amount he had paid tobuy 240 seedlings. What is the gardener's gain percent? |
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| 30. |
[tex]\\violet (pardeep has a triangular field ABC ofarea 15000 ms. Medians BE n CF intersect atpoint O. If he uses AFOE for growing wheat, thenhow much area is used for growing wheat |
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| 31. |
[tex]\\violet (pardeep has a triangular field ABC ofarea 15000 msq. Medians BE n CF intersect atpoint o. If he uses AFOE for growing wheat, thenhow much area is used for growing wheat |
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| 32. |
[tex]\\violet {pardeep has a triangular field ABC ofarea 15000 msq. Medians BE n CF intersect atpoint o. If he uses AFOE for growing wheat, thenhow much area is used for growing wheat |
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| 33. |
sin 38°/cos 52°=?sin 66°-cos 24°=0 |
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| 34. |
Section Astion numbers I to 6 carry I mark each.If a and b are relatively prime numbers, then what is their HCF ?tt V2 +1 is a root of a quadratic equation with rational coefficients, write its other root.Write the nth term of an A.P., the sum of whose n terms is S |
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Answer» HCF =1.............. 1-root2.............. If you find this solution helpful, Please like it. |
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| 35. |
7. A rectangular tank 30 cm x 20 cm x 12 cmcontains water to a depth of 6 cm. Ametal cube of side 10 cm is placed in thetank with its one face resting on the bottomof the tank. Find the volume of water, irlitres, that must be poured in the tank sothat the metal cube is just submerged in thewater. |
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| 36. |
4.The length of a water tank is 2.5 m and breadth in 2 m. It contains 1500 litres water in it.Find the deapth of the tank. |
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Answer» let the depth be xvolume=lbh1500=2.5×2×x1500=5x5x=1500x=1500/5x=3000The depth is 3000 m |
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| 37. |
e dimensions of a rectangular water tank are 2 m 75 cm by 1 m 80 cm by mmany litres of water does it hold when filled to the brim?0 om.How |
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Answer» but bro same question ka answer hamaari book me 5.95m cube diya hai |
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| 38. |
() ११17. निम्नलिखित भिन्नों का योगफल ज्ञात(a) 33 +3३| (d) 53 +6 }18. निम्नलिखित भिन्नों में अंतर ज्ञात |
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Answer» I don't know I don't know I don't know I don't know what is the answer 17-a- 6.7317-b-11.6667 6•7311•667 is the right answer. d) thecorrect answer option C is the correct 17)a) 3(3/13) + 3(2/4)= 42/13 + 17/4= 168+152/52=320/52= 6(19/26); 48/9+53/9= 48+57/9= 105/9= 11(6/9) (1) 175/26(2) 105/9 |
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| 39. |
. The dimensions of a rectangular water tank are 2 m 75 cm by 1 m 80 cm by 1 m 40 cm. Hoamany litres of water does it hold when filled to the brim? |
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| 40. |
lities7581. If a and b are rational and b is not perfectsquare, then the quadratic equation withrational coefficients whose one root is 3a +vb is2013 II(a) xa_6ax + 9a2 _ b = 0(c) x2 + 3ax +-/b = 0(b) 3ax 2 + x-vb=0(d) Vbx 2 + x-3a = 0 |
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| 41. |
Form a quadratic equation whose roots a+73-N |
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Answer» Sum of roots=6Product of roots=9-7=2Equation=x^2-Sx+Px^2-6x+2 |
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| 42. |
The quadratic equation whose roots 3 and -1, is |
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| 43. |
3. Find the producta. (-52) x (-40)b. (-15) x (-3) x ( -8) |
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Answer» 3.a. 2080 b. -360 a)2080b)-360 answer 1) (-52) × (-40) = 2080 2) (-15) × (-3) × (-8) = 45 × (-8) = -360 a.2080 b.360 snswer A 2080. B -360 is the product of both the question |
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| 44. |
42:24::52:? |
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Answer» here is your ans write only 29 If have any problem just text 42:24::52:x42/24=52/x7/4=52/x7x=208x=208/7 |
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| 45. |
find the quadratic equation whose roots are -1 and 2 |
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Answer» a quadratic equation can be formed byx^2-(a+b)x+abwhere a and b are roots of equationhencex^2-(-1+2)X+(-1)(2)x^2-x-2 |
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| 46. |
atic3. Form the quadratic equation whose roots are3 7 and 3+/7 |
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Answer» Explanation: There is this general form to find the quadratic equation from the given roots. x^2 - (sum of roots)*x + (product of roots) |
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| 47. |
Pythagorean Property |
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Answer» ThePythagorean(puh thag or ee un) Theorem, also called thePythagorean Property, says that the sum of the squares of the lengths of the legs of any right triangle is equal to the square of the length of the hypotenuse, a^2 + b^2 = c^2 |
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| 48. |
15. Half th perimeter of a reta gula garde, whose n this 4 nra eritwich, is 36 n Find thedimensions of garden. |
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Answer» Let the width be x.then length will be x+4According to questionPerimeter of rectangle = 2×(l+b)l+b=36x+(x+4)=362x+4=362x=36-42x=32x=16.Hence, The length of garden will be 20 m and width willbe 16 m. |
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| 49. |
.15. Simplify:(53)3 x (2x5) 3 2452 x (22)2x58 |
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Answer» 1953125×1000×16/25×16×390625 31250000000/156250000=200 |
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| 50. |
3. Find the remainder when 2x3xvided by 2s-3.Does it eraetiy davide thspolynomial ? State reason |
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