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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. |
94of the book. Wha28. Lalita read 30 pages of a book containing 100 pages while Sarita readread more?for 3 hour Who exercised for a longer time? |
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Answer» lalita read = 30 pages page containing by books = 100 pages sarita read = 2/5 ×100 = 40 pages Therefore;sarita read more pages than lalita |
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| 2. |
(00/ - 0054: _ 00560 - 1cotA + cosA cosecA+1 _(7. सिद्ध करें |
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Answer» (cotA -cosA)/(cotA + cosA) = (cosecA-1)/(cosecA+1) (cotA -cosA)/(cotA + cosA)((cosA/sinA)-cosA)/((cosA/sinA)-cosA) since cotA=cosA/sinA taking cosA common from numretor and denominator nd cancelling it we get ((1/sinA)-1)/((1/sinA)+1) since 1/sinA=cosecA therfore(cosecA-1)/(cosecA+1) Like my answer if you find it useful! |
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| 3. |
ut tuhe work is completed in 14 months?5. It is found that a book will contain 540 pages if 28 lines are allowed in a page. How many lines shouldbe allowed in a page if the book has to contain 360 pages? |
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| 4. |
cot A âcosA cosecA -1). Prove (181:~ cotA +cosA coscc A |
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Answer» cotA changed to coaA/sinA |
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| 5. |
1 - 1 F -cosecA â cotA sinA |
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Answer» LHS=1/(cosecA-cotA) -1/sinA =(cosecA+cotA)/cosec^2A-cot^2A) -cosecA =cosecA+cotA-cosecA =cotA RHS=1/sinA-1/(cosecA+cotA) =cosecA-(cosecA-cotA)/(cosec^2A-cot^2A) =cosecA-(cosecA-cotA) =cotA LHS=RHS Like my answer if you find it useful! |
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| 6. |
b) Jhansi and her sister took a loan of Rs 21,000 to buy a logboat. They paid back a total of Rs 23,520 in one year. Howmuch did they pay back every month? |
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| 7. |
1.A triangular hoarding of dimension 11m, 6m and 15m is used for commercialactivities. The hoarding yield an earning of Rs. 5000 per m2 per monthCalculate the total earning by the hoarding in a month. (Use 2 = 181 |
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| 8. |
The area of the emergency ward is 5786metresquare If one bed takes 124metresquare ,then how many beds will fit in the emergency ward |
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Answer» Total area=5786m^21 bed=124m^2No.of beds=5786/124=46beds |
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| 9. |
Example 19. Prove the following identity:sec" θ-tan |
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Answer» LHS= (sec^2)^3-(tan^2)^3= (sec^2-tan^2)^3+3sec^2*tan^2 (sec^2-tan^2)= (1)^3+3 (1+tan^2x)tan^2x (1)(sec^2x-tan^2x)=1=1+3 (tan^2x+tan^4x)=1+3tan^2x+3tan^4x=RHS |
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| 10. |
e following identity:yo+Ary(x+y) |
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Answer» (x+y)3= (x² + 2xy + y²)(x+y) Then you FOIL (First, outer, inner, last) (x+y)3 = (x² + 2xy + y²)(x+y) = x2x +2xxy + xy2+ x2y + 2xyy + y2y[and when you combine like terms]=x3+ 3x2y+ 3xy2+ y3 |
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| 11. |
nExample 15. Prove the following identity:/sec-g + cosec-gtan θ + cote |
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| 12. |
Prove the following identity: tan A cot A 2 sec A cosec |
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| 13. |
Example 19. Prove the following identity :sece-tane = 1+3 tanâ e +3 tane |
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| 14. |
(b)Prove the following identity:1-cos A1+cos A+cotA cosecA1 |
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Answer» Please like the solution 👍 ✔️ |
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| 15. |
Prove the following identity(sinA+cosecA)^2+(cosA+secA)^2=5+sec^2A.cosec^2A |
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| 16. |
18. A man repays a loan of 3250 by paying天20 in the first month and then increaseby 15 every month. How long will it take him to clear the loan? |
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| 17. |
17. A man starts repaying a loal as Illinstalment by Rs 5 every month, what amount he wil pay in the 30sThe difference between any two consecutive interior angles of aIf the smallest angle is 120°, find the number of the sides of theInspolygopolygas18. |
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| 18. |
18. A square park has each side of 100m. At each corner of the park.there is a flower garden in the form of quadrant of radins 14m asShown in the figure. Find the area of the remaining partofthe park. I use Ď= 227] |
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Answer» Area of square = a² =100*100=10000 m^2 Radius of the quarter circle =14 m Area of 4 corners( quarters) = Area of one full circle = πr² = 22/7 * 14 * 14 = 616 m² So area of the remaining park = 10000-616=9384 m^2 Like my answer if you find it useful! |
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| 19. |
= 259930Hence, the other number is 259930.Mr. Arjun earns 35860 per month. His total monthly expenditure is25975. How much does he save every month?141715 10 |
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Answer» Arjun save 9885 per month save = earn - expendature = 35860 - 25975 = 9885 save= earn - expenditure =35860 - 35975 =9885 saving=income-expenditure =35860 - 25975 =9885 rs Money earns per month=Rs. 35860 Total expenditure of month=Rs. 25975Therefore, Saving = Total earning - Total Expenditure = 35860 - 25975 = 9885 |
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| 20. |
01 ꡸f lytt and lan term at an Ap at |
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| 21. |
26, An arithmetic progression 5, 12, 19terms.ORA man repays a loan of 3250 by paying 20 in the first month and then increases the payment byirumscribe a circle of radius 4 cm, such that the segments BD and Dc15 every month. How long will ittake him to clear the loan ? |
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| 22. |
39. Which is the smallest three-digit number divisible by one-digit even number? |
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Answer» 102 is divisible by 2 (even number) |
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| 23. |
A student got twice as many sums wrongas he got right. If he attended 60 sums inall, how many did he solve correctly? |
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Answer» Let take , right answer twice the wrong answer. Right answer = x wrong answer = 2x Sums = 60. so , x + 2x = 60 3x. = 60 x = 20. X represent correct answer = 20. |
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| 24. |
3. State the meaning of:(a) Outstanding expenses(b) Prepaid expenses(c) Income received in advance(d) Accrued income |
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| 25. |
A boy gets 3 marks for each correct sum and loses l mark for each incorrectsum. He does 25 sums and obtains 62 marks. Then how many correct sums werethere? |
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Answer» Marks for correct answer =3Marks for incorrect answer=1Questions he attempt=25Total marks=61No. of incorrect answers=14 If he get 3 marks for correct answers then 3×25=75But his marks is 61i.e. 75-61=14 |
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| 26. |
a identify the given sets as equivalent or equal.3.A.P(xjx is an odd number, 1<x < 10) and Q(xl x is a multiple of 3,1<x 16)p= {x/xis a vowel in the word PATROL LING} and Q={xIxís a vowel inthe worin the word IMAGINATIONB. |
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Answer» A) P={1,3,5,7,9} Q={3,6,9,12,15}since they have equal no. of elements so they are equivalent sets.B) P={A,O,I} Q={I,A,O}elements of theses sets are equal so they are equal sets |
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| 27. |
STATEMENT SUMSThere are 25 girls and 32boys in a class. How manystudents are there in all? |
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Answer» 25+32=57total students=no. of boys +no. of girls number of girls in a class= 25number of boys in a class=32the total number of student =? 25+32=57 total students=25 girls + 32 boys=57 |
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| 28. |
5. Do these sums in your notebook(a) Adil has a piece of squared paper. The piece has 11 rows and 9 columns of squares.How many squares does it have in all? |
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Answer» it has 11 rows and 9 columnshence for square equal number of rows and columnshence maximum is 9 rows and 9 columnshence 9*9=81 squares. |
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| 29. |
Q1. If profit for company Y in 2012 is 2000 and expenditure in 2013 for company Y is50,000, then what is the total revenue in 2013 for Y? Give that total revenue -expenditure + profit(a) 52600(b) 54200(C) 53280(d) 55800(e) of these |
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| 30. |
At the speed of 18km/h,a cyclist cover a distance in 190minutes. At what speeding can speed can he cover the same distance in 3h |
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Answer» s=d/t 18=d/190/60hrs.18*190/60=57kmnow57km/3hrs.=19km/hr |
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| 31. |
Village Chimur is 20 km to the North ofvillage Rewa. Village Rahate is 18 km tothe East of village Rewa. VillageAngne is 12 km to the West of villageChimur. If Sanjay starts from villageRahate and goes to village Angne, inwhich direction he has to go from hisstarting point? |
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Answer» Sanjay has to go in the north west direction. |
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| 32. |
. The percentages of marks obtained by a student is six unit tents are given belownit testA unit test is selected at random. What is the probability that the student gets more than60% marks in the test?at a crossing ina city the various types of 240 vehicles going past |
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| 33. |
ema-al echpa |
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Answer» Let y= 0.2 barhere , the period of decimal is 110 y= 2.2 bar ( × 10 on both sides)10 y=2.0+ 0.210 y=2.0+ y9 y =2.0y= 2÷9 |
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| 34. |
24¡"Vehicles in this muror are closer than they appear. Why s his warning printed on ihe sidevrie mirror of mnst vehicles?s, Mia(r) NaCi, NH CL CH:COONa. Which of these salts will give |
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Answer» The mirrors used in cars are convex mirrors. Convex mirrors form erect and smaller images of the objects. This does not give us the exact idea how far the vehicle is from us. Thus, to avoid accidents, car view mirrors carry a warning message that objects in the rear view mirror are closer than they appear. |
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| 35. |
TILIITTOLI10. In a colony, two thirds of the total vehicles are scooters. Three fourths of the remainingbicycles. The rest are 120 cars. How many total vehicles are there? |
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Answer» Let total vehicle=xScooter=(2/3)xBicycle=3/4 of( x-2x/3)=3/4 * x/3=3x/12=x/4Cars=x- [(2x/3)+(x/4)]=x-(8x+3x)/12=x-11x/12=x/12X/12=120So,total vehicle=x=120*12=1440 |
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| 36. |
cricket match, a batsman hits boundary in20% of the balls he played. Find the probabilityII 2012. Set-15that he did not hit a boundary |
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| 37. |
In a cricket match, a batsman hits a boundary 8 times out of30 balls she plays. Find the probability that she did not hit aboundary |
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Answer» r u sure |
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| 38. |
18. Find the rational number equivalent toith denominator 15. |
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| 39. |
L6WUSU UCUN DUULLWhy is it better to use a divider than a ruler, while comparing two line seomadarron |
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Answer» yes its obviously better to use a divider than a ruler because it gived us exact measurement |
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| 40. |
Check whethen รณn can ond ith thediait 0 fos any natural no n |
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Answer» Like if you find it useful |
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| 41. |
o.Atan election between two etfodwins bthetöllent21. Tevalid votes and wins by 354 votes. Finde salary of Mrsfund. Ofund ore he reînrw Sarita is?32000 per month. 10%ofit is deducted bythe employeras providmaining imildren and 10%ong money, she spends 20% on house rent, 46% on food, 14% on the educationon other expenses. Rest she saves. Findhow much is credited eaii) how much is paid as house rent.ch month to her Provident Fund Account.) how much is spent on food.aw) how much is spent on the education of children(o how much does she save every month. |
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Answer» i) 32000*10/100 = 3200 rps ii) 32000-3200 * 46/100 = 13248 rps iii) 28800*20/100 = 5760 rps iv) 28800*14/100 = 4032 rps v) 28800*10/100 = 2880 rps |
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| 42. |
7. Shyam bought a refrigerator for 5000. He paidof the price in cash and the rest in 12 equal monthlytalments. How much had he to pay each month? |
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Answer» 375 is the answer... 375 is the correct answer of the given question 375 is the right answer. plz like my answer 375 is right answer of this question. please like my answer it is answer375is correct answer |
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| 43. |
The the cost of fencing a square field at rupees 16 per metre is rupees 32000 find cost of weeping the field at Rs 3,500 m square |
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Answer» Perimeter of Square field= 32000/16= 2000 mLet side of square field be aThen 4a = 2000a = 500 Area of square field = 500x500= 250000m^2 Cost of weeping= 250000x3500= Rs 875000000 |
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| 44. |
/ e ढाकाe il |
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| 45. |
amit wants to buy a laptop that costs & 35700. he can take it homae by paying &7000 and pay the rest in 12 equal monthly paymemt. how much will he have to pay each month? math problrm |
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Answer» not sure by hope is a right ans The right answer is 2391.6 |
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| 46. |
6 +0 -0.33A builder borrows Rs. 2550 to be paid back withcompound interest at the rate of 4% per annum bythe end of 2 years in two equal yearly installments.How much will each installment be? |
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Answer» Let each installment be x Then, for compound interesrtA = P(1 + R/100)^2 P = x/(1 + 4/100) + x/(1 + 4/100)^2 2550 =x/(26/25) + x/(26/25)^2 2550 = 25x/26 (1 + 25 /26) 2550*26/25 = x(51/26) 102*26*26/51 = x x = 26*26*2 x = 1352 Therefore every year installment is Rs 1352 |
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| 47. |
OIL 10The sum of the digits of a three-digit number is 11. If the digits are reversed, the newnumber is 46 more than five times the former number. If the hundreds digit plus twicethe tens digit is equal to the units digit, then find the original three digit number? |
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Answer» Let the number be: 100x + 10y + z Let's try solving this using only the 1st and last statements:"The sum of the digits of a three-digit number is 11."x + y + z = 11 "the hundreds digit plus twice the tens digit is equal to the units digit,"x + 2y = zx + 2y - z = 0 Add to the 1st equation to eliminate zx + y + z = 11x +2y - z = 0--------------2x + 3y = 11 2x = 11 - 3y x =(11 - 3y)/2 Only two values for y will give a positive integer value for x, namely 1 and 3. From the 2nd statement we know that x is a low value, therefore 3 seems likely:x =(11 - 3*3)/2x = (11 - 9)/2x = 2/2x = 1 when y = 3 Find z1 + 3 + z = 11z = 11-4z = 7 Our number is 137 |
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| 48. |
Find the ratio in which the point (-3, p) divides the line segment joining the points (5, - 4) and(-2, 3) Hence, find the value of p. |
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Answer» (x1,y1)=(-5,-4), (x2,y2) = (-2,3)(-3,p) is the point which divides joining the above points in the ratio k:1by using section formula [(k*(-2)+1*5)/(k+1) , (k*3+1*(-4))/(k+1)] = (-3,p)equating x co ordinates(-2k+5)/(k+1) = -3-2k+5 = -3(k+1)-2k+5 = -3k-3-2k+3k=-3-5k= -8---(1) equating y co ordinates(3k-4)/(k+1) = psubstitute k = -8 [3*(-8) -4]/(-8+1) = p (-24-4)/-7 = p-28/-7 =p4=pp=4 |
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| 49. |
Out of 160 balls , Sachin hit 140 balls. Find the percentage of the balls he didn't hit. |
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Answer» 20/160*10012.5 percentage |
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| 50. |
Find x such that the four points A(4, 4, 4), B(5, x, 8), C(5, 4, 1) and D(7, 7, 2) arecoplanar |
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