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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. |
rite the first 5 multiples of:7x 8 56, so 56 is a multiple of6 x 9- 54, so 54 is a multiple of3 x 12 36, so 36 is a multiple of5 x 4 x 11 220, so 220 is a multiple ofandandandand |
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Answer» 1. so 56 is a multiple of 7 and 82. so 54 is multiple of 6 and 93. so 36 is multiple of 3 and 124. so 220 is multiple of 5 , 4 and 11 thanks |
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| 2. |
If the price of 6 toys is Rs. 264.37, what will be theapproximate price of 5 toys?(1) 140 Fo (2) 100(3) 200220(4) 240 Fo, |
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Answer» Cost of 6 toys is ₹ 264.37Cost of one toy is ₹264.37/6 = ₹44.06so cost of 5 toys is 5 × ₹44.06 = ₹220.308which approximately ₹220 so option (3) is correct Thanks |
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| 3. |
14. एक मोटरकार 220 किमी दूरी र"तटरकार 220 किमी दूरी तय करने में 5 लीटर पेट्रोल लेतो वह 4.5 लीटर पेट्रोल में कितनी दूरी तय करेगी?(1) 110 किमी| (3) 150 किमी(2) 175 किमी(4) 198 किमी |
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Answer» thanks |
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| 4. |
A car covers 25ăkm in an hour. How, long does it take to cover 68km? |
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Answer» Distance cover in 1 hr = 177/7 kmTime taken to cover 205/3 km= (205/3)*(7/177)= 1435/531= 2.7 hrs |
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| 5. |
3. The length and breadth of a rectangle Plot are 5x104 and 4x104 meter respectiver. iarea is |
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Answer» Area = length* breadth=5×10^4*4×10^4=20×10^8sq. metre |
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| 6. |
1, 8, 27, 64, 125,?1)2222)216 3)2254) 220 |
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Answer» 1³ = 12³ = 83³ = 274³ = 645³ = 1256³ = 216so option (2) is correct answer |
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| 7. |
('10 find.ta) 1+2 693 +5 () 3+6 (0)310977-22014) 3x9 (9) 354x21 H10 (15:4 3:1 |
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Answer» (a) 34/63 is right answer |
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| 8. |
Oractice Timewibbon, 68 cm long, is placed next to theof another ribbon, 28 cm long. What isthe total length of the two ribbons?aswer: The total length of the two ribbonsis |
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Answer» 96 centimetres is the length of two ribbons the length of two ribbons is 98 cm the total length of the two ribbons is 96 cm. the length of ribbons is 96 cm 96 is the total length of the two ribbons hence,96 is total length of the two ribbons. The length of the two ribbons is 96cm 96 cm is the correct answer of the given question the answer is 10. The answer is10 of this sum the answer is 96 is write 68 cm - 1st ribbon+ 28 cm - 2nd ribbon _____ 96 cmThe total length of the two ribbon are 96 cm. total lenght of the two ribbon are 96 cm.answer. 96cms is the answer of the following |
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| 9. |
(iii) A car covers a certain distance at aspeed of 45- km per hour. What isthe distance that it covers in 6 hoursat the same speed? |
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Answer» the speed of car is 137/3the time taken is 6 hoursthe distance = speed × time =137/3×6 =137×2 = 274the distance is 274 km |
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| 10. |
8.Find the zeroes ofthe Quandratic polynomial /x' -5x 14V |
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Answer» Given quadratic equation =√3x² - 8x + 4√3 = 0We should factorize the equation first. =√3x²-6x-2x+4√3 = 0 =√3x(x-2√3)-2(x-2√3) = 0 = (√3x-2) (x-2√3) = 0 = (√3x-2) = 0 , (x-2√3) = 0 = x = 2/√3 , x = 2√3. |
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| 11. |
1. In equilateral Δ ABC De BC such that BD :DC= 1:2. Prove that 3AD= AB, |
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Answer» 1 2 |
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| 12. |
the graph of the polynomial x-5x-6, find the zeroes and justify your answer.(R.V) |
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Answer» The roots are -1 and 6 Niharika I want say that how r u prepared tis graph |
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| 13. |
RAN3. Draw the graph of the polynomial x -5x-6, find the zeroes and justify your answer. (R.V) |
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Answer» Clearly, it is a parabolaIt is upward open as coefficient of x >0 vertices = (-b/2a , - D/ 4a), where a,b are coefficients of x² and x , and c is constant term. (a=1, b= -5 , c =-6)vertices = (-b/2a , -(b² - 4ac)/2a) =(2.5 , -12.5)So we get the following graph. Also , from graph, the x-axis is cut at -1 and 6, which are the roots. |
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| 14. |
(1) For x = 0 find the value of the polynomial x^2-5x + 5 |
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| 15. |
Degree of a polynomial (x+2x+3)(x-5x+4) is(a) 3 (b) 5 (c) 16 (d) 8 |
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Answer» 8 is correct Answer 8 is the degree of this polynomial 8 degree is the correct answer 8 degree is the correct answer 8 is the degree of the polynomial . |
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| 16. |
For what value of k,-4 is a zero of the polynomial x2-x- (2k + 2)? |
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Answer» put -4 in the polynomial and make the expression equal to 0. so (-4)² -(-4) -(2k+2) = 0=> 16+4-2k-2 = 0=> 2k=18and k= 9. |
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| 17. |
a If one zero of a polynomial 322-8x + 2k+ 1 is seven times the other, find the value of k |
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Answer» 3x²-8x+2k+1 a=3, b=-8 ,c=2k+1suppose the zeroes of the equation are α and β . by the given condition α=7βas we know , α+β=-b/a7β+β=-(-8)/38β=8/3β=8/3×1/8=1/3αβ=c/a7β×β=2k+1/37×1/3×1/3=2k+1/37/9=2k+1/321/9=2k+121/9-1=2k12/9=2k4/3=2k4/6=k2/3=k |
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| 18. |
The cost of a notebook is twice the cost of a pen. Write a linear equation. |
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| 19. |
if the zeroes of the polynomial (k^2 + 1) x^2 +5x+2k are reciprocals of each other find the zeros |
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Answer» Let zeroes of polynomial (k^2+1)x^2 + 5x + 2k are n and m Then,n = 1/mnm = 12k/(k^2 + 1) = 12k = k^2 + 1k^2 - 2k + 1 = 0k^2 - k - k + 1 = 0k(k - 1) - 1(k - 1) = 0(k - 1)(k-1) = 0k = 1 Put value of k =1 in given equation, we get2x^2 + 5x + 2 = 02x^2 + 4x + x + 2 = 02x(x + 2) + 1(x + 2) = 0(2x + 1)(x + 2) = 0x = - 1/2, - 2 Therefore, Zeros are - 1/2 and - 2 |
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| 20. |
14. If one zero of a polynomial 3x^2 - 8x + 2k + 1 is seven times the other, find the value of k |
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| 21. |
Two ropes are of length 6 m 75 cm and 4 m 25 cm respectiverWhat is their total length? |
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| 22. |
Thereare 7 strings, each of length 18 m 35 cm. Find their totallength. |
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| 23. |
The length of 3 strings are shown in theadjoining figure.Find the total length of these strings. |
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Answer» Total length = 3.1 m + 425 cm + 6 m 30 cm = 3.1 m + 4.25 m + 6.3 m = 13.65 m |
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| 24. |
The following figure shows a rectangular parkwhose length is 30 m and width is 20 m.(i) What is the total length of the fencesurrounding it? |
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Answer» Total length = perimeter perimeter = 2l + 2b = 2*30 + 2*20 = 60+40 = 100 m Like my answer if you find it useful! 2*(L+B)2×30+202×50100 |
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| 25. |
3)Mr. Jackson measured the length of two wooden planks. Plank A is - m longand Plank B isUN= m long. What is the total length of the two planks? |
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Answer» Mr Jackson measure the length of two wooden planks plank is 56 metre long and 20 23 beta long is the answer of the question 14 is the answer of the question |
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| 26. |
II. Solve these problems1) Preethi has a red coloured tape of length 18 m and a bluecoloured tape of length15 m. What is the total length ofthe tapes she has? |
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Answer» Length of red coloured tape= 18mLength of blue coloured tape=15mTotal length of the tapes=18m+15m =33mAns) Total length of the tapes is rem. |
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| 27. |
Two ribbons are 5 m and 6 m long. Find the total length of ribbon. |
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| 28. |
3.Draw a circle of radius 4 cm. Take a point P on it. Draw tangent to the given circle at P. |
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| 29. |
3. Draw a line I and a perpendicular to / at any point on i. On this perpendicular, choose apoint P 3.5 cm away from l. Through P, draw a line m parallel to l. |
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| 30. |
Worksheet 13Solve the following word problems.(a) A piece of ribbon is 5 metres3s long. If it is cut into 14 equal pieces, whatitis the length of each piece?(b) The product of two fractions is 9. If one oIf one of the fraction is 2. find the otherfraction.nras can be cooked in |
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Answer» a) 5 3/5=28/5 length now cut into 14 equal parts so length of each part = 28/(5*14)=2/5b) product is 9 one us 2 1/7=15/7so other one is 9/(15/7)=(9*7)/15=21/5 |
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| 31. |
14. In the adjoining figure, DE|| BCProve that(i) ar(AACD) = ar(AABE)(ii) ar(AOCE) = ar(AOBD). |
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Answer» Thanks |
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| 32. |
x+1 3Example 18: Solve 2x+3=8Solution: Observe that the equation is not a linear equation, sinck the expression on isLHS is not linear. But we can put it into the form of a linear equation. We multiplysides of the equation by (2x +3)both |
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Answer» (X+1)/(2x+3) = 3/8=> 8(X+1)=3(2x+3)=> 8x+8=6x+9=> 2x = 1.=> X = 1/2. Please hit the like button if this helped you. |
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| 33. |
Name the polynomial containing two non-zeroterms |
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Answer» A polynomial containing two nonzero terms is called a binomial .For example :- (3+6x) , (x-5y) |
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| 34. |
6.Giventhelinear equation 2x + 3y 8 0, writenother linear equation in two variables such thatthe geometrical representation of the pair so formed(C) intersecting lines(11) parallel lines(iii) coincident lines |
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| 35. |
Determine the point on the graph of the linear equation x+y=6, whose ordinate is 2times its abscissa. Also draw the graph of the linear equation. |
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Answer» tq |
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| 36. |
If one zero of the polynomial 3x8x-(2k + 1) is seven times the other, findboth zeroof the polynomial and the value of k. |
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| 37. |
If one zero of the quadratic polynomial (ke + kone zero of the quadratic polynomial (ke 68x6k is reciprocal of e15,5.other, find k.the zeroes of the polynomial x 5x + m such thae |
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| 38. |
7. Solve forlog(x+3) +10g(x-3)Sol. : log(x+3) +log(x-3)log 16log 16=(i)=ä¸10 |
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| 39. |
log, (log x)5log,51) log, x 2)log, x 3) log, x 4)log, 7 |
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| 40. |
\frac { ( \operatorname { log } x - \operatorname { log } y ) \operatorname { log } x ^ { 2 } + \operatorname { log } y ^ { 2 } ) } { ( \operatorname { log } x ^ { 2 } - \operatorname { log } y ^ { 2 } ) ( \operatorname { log } x + \operatorname { log } y ) } |
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| 41. |
\int \frac { e ^ { 5 \operatorname { log } x } - e ^ { 4 \operatorname { log } x } } { e ^ { 3 \operatorname { log } x } - e ^ { 2 \operatorname { log } x } } d x |
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| 42. |
\int \frac { e ^ { 6 \operatorname { log } x } - e ^ { 5 \operatorname { log } x } } { e ^ { 4 \operatorname { log } x } - e ^ { 3 \operatorname { log } x } } d x = |
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| 43. |
\int \frac { e ^ { 5 \operatorname { log } x } e ^ { 5 \operatorname { log } x } } { e ^ { 4 \operatorname { log } x } - e ^ { 3 \operatorname { log } x } } d x |
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| 44. |
e) Convert g into a decimal fractions |
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| 45. |
Write the following fractions in decimal form:(a) 5(6) 7(c)1010 |
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Answer» 5/10=0.57/10=0.7..fraction to decimal 5/10 = 0.57/10 = 0.7 a) 5/10= 1/2 =0.5b) 7/10= 0.7 Hope you understand 🙂 |
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| 46. |
18. Evaluate 3 correct upto two places of decimal. |
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| 47. |
.Find the value of /5 correct to two decimal places. Then, find the value of the square root3-5ofcorrect to two decimal places |
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Answer» answer is wrong |
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| 48. |
13. Evaluate3correct to two places of decimal.3 |
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Answer» √10/3=√10/1.732 3.1/1.732 1.8257 |
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| 49. |
13.Evaluate \2.8 correct up to two places of decimal. |
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| 50. |
3. Evaluate up to two places of decimal14"0 v3(ii) 0.12 |
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