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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. |
4-41., 44. tc |
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| 2. |
400 km/hr, and 250 km/h respectively. Find the average speed of the plane.1. A scooterist goes to a place at a speed of 20 km/hrand returns from there at a speed of 30 km/hr. Findthe average speed in km/hr for the entire journey |
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Answer» Average speed=(20+30)/2=25 km/hr |
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| 3. |
If tle sides of a triangle are produced in order, prove that the sum of the exterior angles so formedis $50° |
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Answer» thanks thanx |
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| 4. |
Hnd tle val16. If the polynomials ax3+3x2-13 and 5x3-8x + a leave the same remainder when dividedby x ± 1, then find the value of a. |
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| 5. |
TCTCルS10Lt36IC |
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| 6. |
construction three equation,starting with x=-5 |
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Answer» x= -5 + 2x x= -5 -4x x= -5 -9x |
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| 7. |
Find a quadratic polynomial whose sum and product of zeros are 4 and 1 respectively |
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| 8. |
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? |
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| 9. |
A train running at a uniform speed passes a 275 m long bridge in 15 so and another bridge of length 425 in 21 so find length of train and speed of train in km/h |
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| 10. |
80 km/hr14.4 kmminmin |
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Answer» 80 km/h 14.4 kmso time=14.4/80=144/800h=(144*60)/80 min = 108min0s |
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| 11. |
Find the quadratic polynomial each with the given numbers athe sum and product of its zeros respectively4' 4 |
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Answer» we know that , formula of quadratic equation is x*2 - Sx + P. where s is sum of roots and p is product of roots.so , x*2 -(-1÷4) x + 1÷4 = x*2 +x÷4 +1÷4=multiplying equation by 4 =4x*2 +x +1 is our final answer |
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| 12. |
Write three solution of the equation ĎĎ + y = 9. |
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| 13. |
Se 11.21.in 45 minutes. How long willA train running at a speed of 80 km/h can cover a certain distit take to cover the same distance if its speed is increased by 10h?2. At the speed of 18 km/h, a cyclist coYCrthe so |
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Answer» speed = distance/time speed is 80 km/h so in 45 min covered distance is 60 km. speed is increased by 10 so new is 90km/h so to cover 60 km require time is 40 min. |
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| 14. |
Section-A (1 x b-o-.tc polynomial each with the given numbers 4 and 1 as the sum and product ofits zeroes respectively. atiang in tur |
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| 15. |
\lim _{h \rightarrow 0} \frac{\sqrt[3]{h+1}-1}{h} |
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Answer» I cannot use L-hopital rule..... it's not included in my syllabus thanks for your kind help |
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| 16. |
Esample 4 : Find a quadratic polynomial, the sum and product of whose zeroes are-3 and 2, respectivelyel be a4 hr tc and its zeroes be a and p. |
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Answer» if a and b are the zeroes of equationthen equation is x²-(a+b)x+ab=0we are given that a+b=-3 and ab=2so the equation is x²-(-3)x+2=0x²+3x+2=0 |
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| 17. |
satisteEsample (19: A boat goes 30 kmream and 44 km downstream in10 hours. In 13 hours, it can go40 km upstream and 55 kmdown-stream. Determine the speedof the stream and that of the boat instill waterC1 |
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| 18. |
s. Find the smallest number by which each of the following numbers should be multiplied tomake the product perfect square. Also, find the square root of the square number so formed.(i) 726(ii) 6125 |
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| 19. |
(ii) A circle can haveparallel tangents at the most. |
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Answer» a circle can have unlimited parallel tangents at the most a circle can have two parallel tangent at the most.if not then infinite tangent are possible. though ur question is not very clear, i am assuming in terms of pair of two lines. |
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| 20. |
H 3. Find the value of a and b so that the function /given by1 if xs3,(x)ax + bif 3 < χ < 5if x 5is continuous iil Y-3 and X-57 |
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| 21. |
If 2x+3=5, value of x+2 is......a. Oh 1 |
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Answer» 2x +3=5=2x=5-3=2x=2=x=2/2=x=0 iska write answers 3 hoga 2x+3=5 value of x³+2 2x= 5-32x=2x=1 ka value x³+2 (1)³+2=1+2=3answer |
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| 22. |
The coefficients of the ( 1) h and (r+1) terms in the expansion of (x+ 1are in the ratio 1:3 5. Find n and r |
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| 23. |
Find the greatest number of five digits which is a perfect square. Also find the square root ofthe number so obtained.18. |
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Answer» Thanks |
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| 24. |
B? The destance between Aur trains stations is 405 km á both hanIstarte simultaneously from these station on a parelled track.to raccross each other the speed of one of them is greater thenthat on another chy skm Shes 1 If they dikace between bothdrams after shund heis Brand is 20 km |
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| 25. |
4. Find the least number which must be subtracted from 2361 to make it a perfect square. Find thisperfect square and also its square root. |
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Answer» 57 i.e. 2361-57=2304=48×48=square of 48 |
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| 26. |
be smallest number by which each of the folloIllg Ihe product perfect square. Also, find the square root of the square number so tors(ii) 6125 |
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| 27. |
find the least number which should be subtracted from 4937290 so that it becomes a perfect square and also find the square root of that perfect square |
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| 28. |
Q 27: A man is standing on the deck of a ship which is 10 m above the water level. He observes theangle of elevation of the top of a hill as 60° and the angle of dispersion of the base of the hill as 30Find the distance of the hill from the ship and the height of the hill. |
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| 29. |
the hill is in form of a triangle has its foot at A(19,3) the inclination of the hill to the ground is 45degree find the equation of hill joining the foot and top (answer with steps) |
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| 30. |
(ii) A circle can have .......................parallel tangents at the most. |
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Answer» two parallel tangents. Thank you very much |
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| 31. |
the hill is in formm of a triangle has its foot at A(19,3) the inclination of the hill to the ground is 45degree find the equation of hill joining the foot and top (answer with steps) |
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| 32. |
The area of a square field is 30-m². Calculate thelength of the side of the square. |
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| 33. |
The area of a square field is 30-m?. Calculate thelength of the side of the square. |
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| 34. |
square18alsoasquare,1. Calculate the side of a rhombus, if itsdiagonals are 18 cm and 24 cm |
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| 35. |
A class of 20 boys and 15 girls is divided into maximum number of groups .Find the number of groups and find the number of boys and girls in each groups what values are refferrd in a class |
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Answer» H. C. F of 20 & 15=5No.of groups =5No.of boys in 1 group =4&no.of girls in 1 group =3No.of members in 1 group=4+3=7 H.C.F=20 & 15=5; NO. Of boys in 1 group=4; NO. Of girls in 1 group=3; NO. Of members in group=4+3=7 |
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| 36. |
What is the maximum number of paralleltangents a circle can have on a diameter? |
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Answer» A circle can have infinite pairs of parallel tangents but as far only one tangent is considered, it can have only one tangent parallel to it. |
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| 37. |
28. Find the population of a city after 2 years, which is at present 12lakhs, if the rate of increase is 4%. Write any two effects of highpopulations? |
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| 38. |
in certain language the CONFIDENCE is closed as FGPEGEQPHK then how will be PERFECTION be folder in same language |
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| 39. |
ee lakes Shes less of its08. A trein moting withuniform speed for a certainspeed be increased by 6 kuffer.It would have taken Shismore, had Es speed beendecreased as wiers. And thedistance trowelled of the journeyand speed of the brain ? |
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Answer» 20 is the speed of the train |
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| 40. |
how to calculate the square root of 100 |
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Answer» √100=√10^2=10 is the answer |
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| 41. |
11. The following distribution gives the marks of 50 students of a particular schoolMarksNumber of students0-10 10-20 20-30 30-4040- 50 50- 601213Write the above distribution as "less than type"12. The mean of the following data is 18.75. Find the value of p:cumulative frequency distributionClass mark CxFrequency (D253010Section CQuestion mumbers 13 to 22 carry 3 marks each.13. Show that square of any positive integer is the form Am or 4m + 1, where m is any integer.14. If a and B are the zerocs of the quadratic polynomial fr)-4x +3, find the value of |
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Answer» 13)We know that any positive integer can be of the form 4m or 4m + 1,for some integer m. Thus, anypositive integer can be of the form 4q or 4q + 1. Thus we have(4q)2= 16q2= 4(4q2) = 4m where m = 4q2(4q+1)2= 16q2+ 8q +1 = 4(4q2+2q) +1 = 4m + 1 where m = 4q2+2q.∴ Square of any positive integer is of the form 4m or 4m+1, where m is any integer |
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| 42. |
An umbrella is made by stitching 10 triangular pieces of cloth of two different colours(see Fig. 12.16), each piece measuring 20 cm, 50 cm and 50cm. How much cloth of eachcolour is required for the umbrella?igalc triangle of hase |
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| 43. |
ine in116. A motorist traveled 122 kilometres before his first stop. If he had 10% of his journeyto complete at this point, how long was the total ride? |
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| 44. |
a train covers a distance of 85km at a certain speed in1\1\2 hours .find the time required by the train to cover a distance of 340km at the same speed |
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Answer» Train speed is constant so,time = distance time85/112=349/sso,85/112*340answer is258.03 |
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| 45. |
L Nimiy can type 11 words in 8 seconds. At this show many words can he type in2 minutes? |
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Answer» 2minutes =60*2=120secs 11 words in 8 secshence words in 120secsX=11*120/8=165 words. |
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| 46. |
Nimiy can type 11 words in 8 seconds. At this speed,2 minutes?.how many words can he |
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Answer» 2minutes =60*2=120secs 11 words in 8 secshence words in 120secsX=11*120/8=165 words. |
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| 47. |
Solve the following simultaneous equations.\frac{2}{x}-\frac{3}{y}=15 ; \frac{8}{x}+\frac{3}{y}=77 |
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| 48. |
a rectangular floor measuring 150m and 80m is to be painted with rectangular tile measuring 50cm and 12cm .How many tiles are needed to cover the floor |
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Answer» 1 m = 100 cm Require tiles = total area / area if one tile = (150×100×80×100)/(12×50) = 200000 If you find this answer helpful then like it. |
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| 49. |
30. A survey was conducted in a particular area to find itsmost polluted region and it was found that the shadedregion in Fig. 7 is the most polluted. If the radius of thecircular part that was surveyed is 14 m and the angleformed between the two radi is 60°, find the area ofpolluted region. (Take π = 3.14 and-3-1.732)(i) How is pollution harmful?(i) What steps can be taken to reduce pollution in anyregion?Fig.7 |
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| 50. |
abhishek type 80 words in 1 minute. how many seconds does he take to type a word. |
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