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. |
20. tan 15° tan 20 (an 70 tan75The value of tan 15° tan 20° tan 70 tan?5TA) -1(C) 0(B) 2(D) 1210]Page 5 of 16 |
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Answer» Answer:D)1Explanation:Tan 15 tan 20 tan 75 tan 70tan(90-x)= cot xtan 15=cot 75tan20=cot 70tan75cot75=1tan70cot70=1now Tan 15 tan 20 tan 75 tan 70=1*1 =1 |
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| 2. |
If the median of the distribution given below is 28.5, find the values of x and y.C.I 0-10 10-20 20-303040 40-50 50-60 Total52015560 |
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| 3. |
f the following pairs represent the same rational number?ich o16 20-20 and-25an21 9(i) andmI-1224(v) and(vi) and520-5 15nii) -- and |
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| 4. |
a tax or 12% is leviedpiite of the chocolate.10% and a tax of 12% is levied on it.A 12. Ganesh pavs7)512 |
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| 5. |
1. A balanced die is thrown. Find the probabilitythat the number on the die is even. |
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Answer» no. of even outcome in a die are (2,4,6) that is 3 out of 6 results. so the probability is 3)6 or 1/2. I am assuming the dice is 6 sided.Hence the sample space has 6 possible outcomes-S={1,2,3,4,5,6}.Let all outcomes are equally likely(fair dice).Hence Probability of any one outcome occurring= 1/6.The event that we get that an even number on tossing the die can occur in 3 possible ways. Let E denote this event.E= {2,4,6}Now P(E)= 3*1/6= 1/2. Here we can also directly use discrete uniform law since the sample space is finite, discrete and all outcomes are equally likely(uniform). This means that we can find the probability of an event by just counting.P(E) = k/n=3/6.(k is no: of elements corresponding to the event and n is no: of elements in the sample space). |
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| 6. |
A Pain ot die i thoouun find me Soobowilitygetting a sum1o on s s appeain the Sinst die |
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Answer» Its (5,5), (5,6) only two possiblity two dice are thrown that is 6^2=36 reqd prob =2/36 ha |
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| 7. |
220,372,420 LCM in long divison |
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Answer» 99220 correct answer 99220 is right answer 99220 is the good answer 2|220, 272, 420-------------------------2| 110, 186, 210--------------------------3| 55, 93, 105------------------------5|. 55, 31, 35------------------------ 11, 31,7LCM= 2×2×3×5×11×31×7 = 99220 99220 is the correct answer The L.C.M of 220 , 372 and 420 is 999220 . |
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| 8. |
a Mark three points P, Q, and R on AABC.b Mark three points A, B, and C on the exterior of ΔΡ0R.c Mark three points K, L, and M in the interior of AXYZ. |
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Answer» thank you I am giving one more question |
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| 9. |
Find the vale2 the value of k for which x = 1 is a root of the equation+3 = 0. Also, find the other root. |
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Answer» x=1 is the rootso put value of x in the equatiin we getx²+kx+3=01²+k(1)+3=01+k+3=04+k=0k=-4put the value of k in the equationnow the equation becomesx²-4x+3=0x²-3x-1x+3=0x(x-3)-1(x-3)=0(x-3)(x-1)=0x-3=0 or x-1=0x=3 or x=1therefore the other root is x=3 X = 1 P(X) = X²+KX-3 Putting X = 1 P(1) = (1)² + K × 1 +3 => 1 + K + 3 = 0 => K = -4 P(X) = X²-4X+3 => X²-3X-X+3 => X(X-3) -1(X-3) => (X-3) (X-1) => X-3 = 0. OR X-1 = 0 => X = 3. OR X = 1 Hence, the Value of K is -4 and 3 , 1 are the two zeros of the polynomial X²-4X+3 if x = 1 is a root then ,(1)^2+k(1)+3=0or , 1+k+3=0or , k=-4 |
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| 10. |
Fact ariseExty txut |
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Answer» Raju vaish answer is verified sabhi ne answer diya hai .ok xy(x²+y²)(x⁴-x²y²+y⁴)is the factorised form of the given equation and the best answer. |
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| 11. |
2. Write down all the fact(i) 20 |
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Answer» Factors 20= 2*2*5= 2^2*5thanks |
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| 12. |
Factorise by lang divison Method |
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| 13. |
\left. \begin{array} { l l } { \text { The number of term in } ( x + y ) ^ { 100 } + ( x - y ) ^ { 100 } \text { is equal to } } \\ { \text { a) } 51 } \end{array} \right. |
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Answer» Both the expansion have 101 terms each.However, every term with the odd power of x will be cancelled. There are 50 such terms. => Hence, number of terms =101-50 =51 Option (a) is correct. |
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| 14. |
find out the 20th term of 1/√2,√2,3/√2••••• |
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Answer» thanks |
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| 15. |
Divide 3y^3+2y^2 +yby 'y' and write division fact |
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Answer» thank you byhaa |
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| 16. |
Simplity ulu tapiFind the value of th (8° + 7-) x 23 |
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Answer» (8^0+7^-1)*2^3=(1+1/7)*8=8/7*8=64/7 |
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| 17. |
15. If α=51-j-3k and b=i+3j-5k, then show that the vectors α+ b and α-b areperpendicular |
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| 18. |
.The H.C.F of 255 and 867 isA) 15B) 81C) 51 |
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| 19. |
angle when added to one - sixth of its complement equals to 40°, then the angle isa) 120°b) 50°0°d) 60° |
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Answer» x= measure of the angle90 - x = complement of the angle x + 1/6(90 - x) = 40x + 15 - 1/6 x = 405/6 x + 15 = 405/6 x = 25x = 30 |
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| 20. |
) Theterm of a pattern is given b3. Find the difference between thesixth and the ninth terms. |
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| 21. |
3. Number of children in six different classes are given below. Represent the data on abar graph.ClassFifth Sixth Seventh Eighth Ninth TenthNumber of Children 135 120 95 100 90 80(a) How would you choose a scale?(b) Answer the following questions:(1) Which class has the maximum number of children? And the minimum?(*) Find the ratio of students of class sixth to the students of class eight.biber |
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Answer» a.)scale :1cm =10 childrenB.) i.) maximum no of children: class fifthminimum no of children : class tenthii.) ratio : 120/100=1.2 |
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| 22. |
7. The mean of the marks scored by 50 students was found to be 39. Labeon it was discovered that a score of 43 was misread as 23. Find hecorrect mean. |
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| 23. |
8utySolsce by hubstitution her15method 51-6y +9=034 744=255Selve by cou- multiplicationistractedfrom |
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Answer» not clear thats page hum to aasani SE Kar denge |
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| 24. |
(1) its area) the cou) tie COUind the area of a square park whose perimeter is 320 m,lot of land, if its area is 440 m2 and the |
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| 25. |
more Bes95)С |
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Answer» 1.92 is the correct answer of the given question 1.92 is correct answer 1.92 is correct answer of following question |
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| 26. |
हक रुख गैज़यीण कर .सूत हट o plodlexm 4\;_\_6__ g o |हि के Gl रे ooy 1 Aन o thes abisile, bes Ba_m.mm,_\,अम्ल दे) -ब्जल९व5 जे anC_ © ‘\\ ~ 1emfGs 5. सका. |]नजर पल ines ot शीश 2 —QQMT- f/_/_;'zuq"-) 1 |
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Answer» For the stationary observer:Frequency of the sound produced by the whistle, ν = 400 HzSpeed of sound = 340 m/sVelocity of the wind,v= 10 m/sAs there is no relative motion between the source and the observer, the frequency of the sound heard by the observer will be the same as that produced by the source, i.e., 400 Hz.The wind is blowing toward the observer. Hence, the effective speed of the sound increases by 10 units, i.e.,Effective speed of the sound,ve= 340 + 10 = 350 m/sThe wavelength (λ) of the sound heard by the observer is given by the relation:λ=ve/v= 350/400 = 0.875 m For the running observer:Velocity of the observer,vo= 10 m/sThe observer is moving toward the source. As a result of the relative motions of the source and the observer, there is a change in frequency (v‘).This is given by the relation: Since the air is still, the effective speed of sound = 340 + 0 = 340 m/sThe source is at rest. Hence, the wavelength of the sound will not change, i.e.,λremains 0.875 m.Hence, the given two situations are not exactly identical. |
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| 27. |
Ther indZAPB |
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| 28. |
XAVier's SchoolWheSOOS900Name the angles in the following figures : |
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Answer» a) 📐PQR 📐QRS📐RSP📐SPQ B) 📐TSR📐SRQ📐RQP📐QPT📐PTS An identity document is any document which may be used to prove a person's identity. If issued in a small, standard credit card size form, it is usually called an identity card, or passport card.. In the absence of a formal identity document, adriver's licensemay be accepted in many countries for identity verification. Some countries do not accept driver's licenses for identification, often because in those countries they do not expire as documents and can be old or easily forged. Most countries acceptpassportsas a form of identification. Some countries require all people to have an identity document available at any time. Many countries require all foreigners to have a passport or occasionally a national identity card from their home country available at any time if they do not have a residence permit in the country. |
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| 29. |
का कफ)... है सर 5४ दे & 205० के १55 3४91 ¢) we e e£312k 12 e i पड पे दर पु e बह 142 2 2 e e ' 22 s bR S911 () P e |
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Answer» 2x:3x:4xso4x^2+9x^2+16x^2= 72529x^2= 725x= 5सबसे बड़ी संख्या होगी4एक्स5=20 |
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| 30. |
e e e e Ao o ;व e+ D= (e Dloerd) =oflm/lun AT R T e SEA e 55 el s |
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Answer» ( x - 2) ( x + 1) = ( x - 1) ( x + 3) x² + x - 2x - 2 = x² + 3x - x - 3 x² - x - 2 = x² + 2x - 3 3x - 3 + 2 = 0 3x - 1 = 0 As degree is 1 so, it is not w quadratic equation |
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| 31. |
Rearrange suitably and add:6 -2 3 9 5 |
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Answer» 6/11+(-2/7)+3/7+9/11+5/7Rearrange6/11+9/11+3/7-2/7+5/7=15/11+6/715(7)+6(11)/77=105+66/77=171/77 |
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| 32. |
Find . am-2000twe |
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| 33. |
e prodoct of twe retional numbesinne oftod the oibes |
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| 34. |
ando Make a cquoncy otwe lellecSeriesingSECTION-TI |
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Answer» terms. frequency1. 12. 23. 54. 95. 76. 47. 2 |
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| 35. |
9./What will happen to area of a rectangle, if(a) its length is doubled and breadth is trippled?its length and breadth are doubled? |
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Answer» a)area of rectangle =lbl´=2lb´=3bA´=l´b´A´=2lx3b=6lb=6A b)l´=2lb´=2bA´=l´b´ =2lx2b =4lb =4A |
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| 36. |
Acoin is tossed. Ifit shows a tail, we draw a ball from a box which contains 2 redand 3 black balls.Ifit shows head, we throw a die. Find the sample space for thisexperiment.15. |
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| 37. |
Write sample space 'S' and n(S), n(A), n(B). If one die is rolleda) Event A : Even no on the upper faces.b) Event B Prime no on the upper faces.1) |
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Answer» When die is thrownSample space S = {1,2,3,4,5,6}Hence n(S) = 6 Even numbers from 1 to 6 are 2, 4, 6Event A even no. appear on upper faceThen, n(A) = 3 Prime numbers from 1 to 6 are 2, 3, 5Event B prime no. appear on upper faceThen, n(B) = 3 |
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| 38. |
9. A die is thrown twice What is the probability that atleast one of the twe throws conmeup with the number 4 ? |
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| 39. |
PracticeDivide.1. 3)63 |
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| 40. |
At a charity show the price of each ticket was <3The total amount collected by a boywasHow many tickets were sold by him? |
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| 41. |
(2) A trader sold an article for 8000 and collected GST960. What isthe rate of GST?(A) 28%(B) 18%(C) 1200(D) 5% |
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Answer» We have to find what percent of 8000 is 960 So, 8000*x/100 = 960 x = 960/80 x = 12% Like my answer if you find it useful! |
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| 42. |
53, A school collected 2304 as fees from itsstudents. If each student paid as manypairs as there were students in the school,how many students were there in theschool?(1) 240(3) 480(2) 460(4) 440marles |
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| 43. |
5. What happens to the area of a square when(i) its side is doubled?() its side is tripled? |
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Answer» Area of square =(side)^21)when side is doubledhence it will become 2^2 times that is 4 times2)when side is tripledhence it will become 3^2 times that is 9 times |
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| 44. |
. If each side of a cube is doubled, its surface area |
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| 45. |
३. आकृति 6.15 में, यदि ८८ 800२ ० ८ २0 है, तो सिद्धकौजिए कि ८ 905 > ८ एरा है। |
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| 46. |
e tauta +Cu |
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| 47. |
24. If each side of a triangle is doubled, then find percentage increase in its area. |
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| 48. |
-445. By what number shouldbe divided to ge3 |
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Answer» 4/3 is the answer of the following 4/3 is the correct answer of the given question |
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| 49. |
find the percentage increase in the area of a triangle of its each side doubled. |
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| 50. |
steamer geistance upstream in 10 hours. Ihe steamer in still water andthe distance bělgwanti inherited Rs 12000.00. She invested part of it as 10ual income from these investments is Rs 1280.00. How much did she Ilach rate?he lengthncreased by 3 cm, theof a rectangle exceeds its breadth by 9 cm. If length and breadth are eacharea of the new rectangle will be 84 cm2 more than that of theiven rectangle. Pind the length and breadth of the given rectangle. |
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