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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. |
log(32/243, 10) - 2*log(5/9, 10) %2B log(75/16, 10) |
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Answer» log2 is the correct answer of the given question log2 is the right answer. |
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| 2. |
(5/8)/2 %2B 15/16 |
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| 3. |
TBt (x)/iu!! 1p s-lxI= (x)/ J&.LT |
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Answer» f(x) = |x| - 5 When x > 0f(x) = x - 5 When x < 0 f(x) = - x - 5 LHL , lim x ---> 5- f(x) = 0 RHL , lim x---> 5 + f(x) = 5 - 5 = 0 |
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| 4. |
Prove the the olleuwing iu Builisnal raunber3-13 is ratom |
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Answer» We know √3is an irrational number Let 3 - √3 be a rational number , say rthen3 - √3 = r 3 - r = √3this is an absurd result because LHS is irrational and RHS is rational so this is a contradiction to our assumption, hence 3 - √3 is an irrational number |
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| 5. |
9. If the numerator and denominator of the fraction - be increased by a certain numberand those of the fraction be decreased by the same number, the results will be thesame. Find that number. |
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| 6. |
- is the only solution of the given equatinegative, r=- is thMiscellaneous Exercise onFind the value of the following:Qos" (cosrove that |
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| 7. |
7), If f(x) = x2-3x+4, then find the value of xsatisfying fix) =f(2x+1). |
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Answer» thanks Ruchir |
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| 8. |
Function fx) is defined asx-12x2-7x + 5fix) =, is f(x) differentiable at x = 1 if yes find f'(1)?x=13 |
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Answer» at x≠1 the limit of the function is. f(x) = (x-1)/2x²-7x+5factorisation of 2x²-7x+5 is (x-1)(2x-5)f(x) = (x-1)/(x-1)(2x-5) ... so, (x-1) will be cancelled.. and f(x) = 1/(2x-5).... so the value at x tends to 1 = 1/(2-5) = -1/3... and at x = 1 , it is as usual -1/3...so, the function is continuous..now differentiate f(x) = 1/(2x-5) .. we get f'(x).= -1.2/(2x-5)² , at x = 1 the value is -2/9... so, it is differentiable.. and value of f'(1) = -2/9 |
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| 9. |
3.12CISEL If_ EXERCISESf(x) =x2-3x + 4, then find the values of x satisf2x + D),f(2xsatisfying the equation,f(x) |
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| 10. |
ब्दाहरण (dilustration)6किसी संख्या के 2 अंकों का योग 15 है। यदि उस संख्या में 9 जोड़ दिया जाय तो संख्या के अंकपलट जाते हैं। संख्या बताओ।The sum of 2 digits of a number is 15. If 9 is added to the number, the resulting number is equalto the original number with the digits interchanged. Find the number.(Vikran, 2002, 15; Bhopal, 2010, 16) |
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Answer» hii |
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| 11. |
7 x^{2}+16 x-15=0 (Find the value of x ) |
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Answer» Simplifying7x2 + -16x + -15 = 0 Reorder the terms:-15 + -16x + 7x2 = 0 Solving-15 -16x + 7x^2 = 0 Solving for variable 'x'. -15 - 21x + 5x + 7x^2 (-5 + -7x)(3 + -1x) = 0 Hence x=-5/7 or x=3 |
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| 12. |
A school has a hall which is 22 m long and 15.5 m broad. A carpet is laid inside the hall leaving aré lall around a margin of 75 om from the walls. Find the area ofleft uncoverd. If the width of the carpet is 82 cm, find the cost at the rate of Rs 18 per metrethe carpet and the area of the stripb the centre of a rectangula |
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| 13. |
de If cos x =1 Teren, find the value of sm x |
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| 14. |
The sum of the digits two-digit number is 15.If 9 is added to the number, the number are interchanged. Find the number. |
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| 15. |
The sales tax for medicines is 12% extra. If a strip of Disprin costs Rs 6, what is thetotal cost of the strip of Disprin? |
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| 16. |
A wire of length 15 cm id bent so as to lie along the circumference of a circle of radius 25 cm. Find in degrees the angle which the wire subtends at the center of the circle. |
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| 17. |
c. 20 and 20d. 15 and 356.One-fifth of a certain number decreased by 3 is equal to 1. The number isa. 15b. 25c. 20d. 187. In a class of 48 students, the number of girls is three-ifths the number of |
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Answer» Let the number be x. x/5 -3= 1x/5 = 4x=20 Hence, option (c) is correct. |
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| 18. |
4 times a number is 12 less than the square of that number. find the negative solution. |
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Answer» Let the number be nGiven condition4n = n^2 - 12n^2 - 4n - 12 = 0n^2 - 6n + 2n - 12 =0n(n - 6) + 2(n - 6) = 0(n+2)(n-6)=0n = - 2, 6 Negative solution is - 2 |
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| 19. |
Find the greatest number less than 900 which is divisible by 8, 12 and 28. |
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Answer» The least number divisible by 8 ,12 and 28 is84. Multiple of84will be exactly divisible by each of the numbers 8 , 12 and 28. Since the required number is not exceed 900, required number =84* 10 =840. |
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| 20. |
A rectangular sheet of acrylic is 34 cm by 24 cm. From it, 64 circular buttons, each of diameter 3.5 cm have.been cut out. Find the area of the remaining sheet. |
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| 21. |
4. There are 954 buttons in one packetHow many buttons will there be in374 such packets? |
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Answer» Number of buttons in one packet = 954 Therefore,Number of buttons in 374 packets = 954*374= 356796 953×374=356,422 ok plz chek and write or wrong and comment and like ok |
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| 22. |
Find the value of (81)0 16 x (81)009 |
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Answer» (81)^0.16 * (81)^0.09 = (81)^0.16+0.09 = (81)^0.25 = (81)^1/4 = (3*3*3*3)^1/4 = 3 Like my answer if you find it useful! |
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| 23. |
3.-prive that il Choval-ě Cengyed Circlethe Chaid are equalju |
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| 24. |
v | डे 1By M&E\:ungb_&=% lblle BB40=qy 1४ न ड् -¥Tao s&’ (0 009 pp |
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Answer» सर्वांगसमता के रूप से हम कह सकते है कि AD=D Bसर्वांगसम त्रिभुज के सर्वांगसम भाग समान होते हैं |
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| 25. |
out the concentratiorToindtected for 30 localities in a certain city and is presented below:SO, in the air in parts per million, i.e., PPppm), the dataConcentration of SO, (ün ppm)0.00 0.040.04-0.080.08 0.120.12 0.160.16 0.200.20 0.24Frequency4Find the mean concentration of SO, in the air. |
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| 26. |
OABC is a rectangle inscribed in a quadrant of a circle of radius 25 cm. Find area ofrectangle |
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| 27. |
PageA rectangle is twice as long as it isurede Il it is bordered by a strip2 metre Dunde, its area is increasedby 160 square metres. What are itsde dimensions? |
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| 28. |
How many tangents (aluで历71 fFT升 tarq?lant height of a cone if its base radius is p andす.at |
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| 29. |
A number decreased by 12 is 50. Find the numbernumber inroged brr 15 i 2Q Eind the number1. |
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Answer» Let the number be x According to question x - 12 = 50 x = 12 + 50 x = 62 So, the number is 62 |
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| 30. |
If 35% of a number is 12 less than 50% of that number, then find the number |
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Answer» Thank you so much |
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| 31. |
8. A two digit number is 4 times its sum of the digits and 2 times the product of its digits. Fthe number.4 |
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| 32. |
12.2combining like terms:21b-32 +7b-20b |
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Answer» 21b - 32 + 7b - 20b21b - 20b + 7b - 32b + 7b - 328b - 32 |
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| 33. |
Number of diagonalsNumber of verticesShapes004000PETMESex erooo |
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Answer» 1) no. of vertices = 4 no. of diagonals = 2 2) no. of vertices = 4 no. of diagonals = 2 4,24,2 is the correct answer of the given question 1.no.of vertices :4 no. of diagonals:2 2.no.of vertices:4 no. of diagonals:2 4,2. 4,2 r the vertices of the given figures respectively 4,2..............4,2. ....... vertesis 4,4 diagonals 2,2 1) number.of vertices is=4.... number of vetices is=2 2) number of diagonal is=4.... number of diagonal is=2 |
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| 34. |
Q.1Choose the correct answer from the following problems.1.Ahas no sides.Thlcanarofal circleIl rectangle |
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Answer» A circle has no sides. a circle is a completely curved surface and is form by a curved line . while aside is formed by a straight line . we can say that a circle has no straight lines and does it has no sides Circle has no sides.Answer:- Circle (a) circle has no sides. different ansul circle and please like my answer A circle has no side and edges. circle has a round and close d figire circle has no sides ,so circle is the correct answer circle is the right answer (a) .circle has no sides A circle has no sides as it is curved and does not have any straight line A circle has no sides because the shape of the circle is like a shape of a coin A circle have no sides because the shape of circle is like the shape of a coin circle is the correct answer |
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| 35. |
2 हीआय 'का 30% स्कूटर के पैट्रोल पर खर्च करता है 'शेंब आ| बह मकान के किराये के रुप में खर्च करता है तथा शेष बचे धन को रुपये है ? बैंक पी0 ओ0, 1990) |
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Answer» 30persent pay to oil for vical and 70persents one forth 175pay for home rent |
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| 36. |
adouttheconcentrationofSO,in the air (in parts per million, ecotlected for 30 localities in a certain city and is presented beloConcentration of SO,(in ppmi)0,00 0040.04 - 0.080o8 - 0.120.12 0.160.16 0.200.20 - 0.24Frequency |
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| 37. |
MATo a246s is as follows:parts per million (pp0.170.200.07s per million (ppm) of a certain city. The data obtained for 30 days is as followy0.040.180.030.160.110.080.110.08 002 0.13 009 004 oiels0.05 0.12 0.06 0.010.080.010.070.08 0.06 022 0.180.090.100.050.07e a grouped frequency distribution table for this data with class intervals asi) For how many days, was the concentration of sulphur dioxide more than 0.11 CThree coins were tossed 30 times simultaneously. Each time the number of heads0.00-0.04, 0.04-0.08, and so on.parts per million?6.occurring was noted down as follows: |
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| 38. |
yelao{] रीते नीये सापेव सभीअरशनी, 034 भेणवो,, जू - 8+15 न 0 |
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| 39. |
री 0 मी सेल जन व/ (0 लम्बाई और चौड़ाई क्रमशः 2 मीटर और 1 S पीर है।.'उस मेज के चाँT S} जालें टेप की लम्बाई क्या होगी 2और एक बरि जे _.. (नबोदय खिचालस परीक्षा, 1990के 2 6.0 o (4) 1-0 मी० |
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Answer» टेप की लंबाई उसके परिमाप के बराबर होगी =2(2+1.5)=2(3.5)= 7 m^2 |
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| 40. |
m102(1995, 97)92(1985, 92)ă871985 1990 1995 2000 2005 2010oa 10.10 |
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Answer» Apologies we are currently taking questions in English only. |
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| 41. |
. A die is thrown twice and the sum of the numbers appearing isobserved to be 6. What is the conditional probability that the number44 has appeared at least once ? |
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| 42. |
12A certain amount of money amounts to 4400 in two years and to Rprincipal and rate of interest.(Hint: One year's interest is 4600- 4400 200)4600 in three years. Find the |
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Answer» Amount in 2 years = Rs 4400Amount in 3 years. = Rs 4600Therefore Interest in 1 year = Rs(4600-4400)=Rs 200Therefore Interest in 2 years = Rs (200 X 2)= Rs 400Therefore principal = Amount - Interest= Rs(4400-400)= Rs 4000 Therefore let rate of interest be = x % p.aTherefore ATQ 200 = 4000 X 1 X x / 100Therefore x = 5 Therefore Rate % per annum = 5 % per annum Ans. Principal = Rs 4000Rate = 5% per annum |
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| 43. |
4. A halanced die is thrown twice and the sum of the numbers appearing on the top face is observedto be 7. What is the conditional probability that the number 2 has appeared at least once ? |
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| 44. |
lu "4 Identify the like terms in each of the(a) 3x2 + 4xy -9y- 6xy + 8 + xy |
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Answer» 4xy-6xy+xyis the like term |
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| 45. |
5. Rate of interest remaining same, the difference betweencompound and simple interests generated in two yearson an investment of Rs. 10,000 amounts to Rs. 64.Determine the rate of interest per annum. |
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| 46. |
rate of interest?2500 into two parts such that the simple interest on one at 4% for 5 years is doubleDivideat 5% for 3 years.10.thaton thepyears at the same rate of in504 in 3 years, how much wills, how much will 615 amount to in 211.If450 amounts to |
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Answer» 10)Let X and 2500-X are two part of 2500 now according to question X x 4 x 5/100=2 {(2500-X) x 5 x 3}/100 X/5= 3/10 (2500-X) X/5+3/10X=750 X/2=750 X=1500 and (2500-X)=1000 hit like if you find it useful |
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| 47. |
[1-2319. यदि (ID A = 4 5 -1.3A निकालें (find 3A)150 2 |
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| 48. |
low will you find out the relationship between H.C.F. and L.C.M. of any twoatural numbers? |
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Answer» HCF*LCM = Product of two numbers = Product of their HCF and LCM |
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| 49. |
Choose 1 answer |
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Answer» rotation is the correct answer it said wrong |
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| 50. |
(11) 4.26 < 0.08(1) 7.4 * 2.64. Divide :(1) 0.068 by 0.004004(ii) 217.35 by 6.3(iii) 7804.5 by 104.06(id) 0.06764 by 0.089 |
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Answer» 4.(i)ans=0.068÷0.04=17 is the correct answer Plz like my answer Plz accepted as best 0.068÷0.004= 17, b) 217.35÷6.3=34.5, c)7804.5 ÷ 104.06=75 |
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