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. |
Example 1.22Afunction f: (1, 6) R is defined,as followsf(x) =12x-1, 2 x < 4 2,8 (Here, [1,6) = {xeR : 1Find the value of (i) f(5)1 +x.x<6} )13x2-10,4x<64,5(ii) fl)(iv) f(2)-14) (v) 2 f5)-31) |
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Answer» Thank u |
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| 2. |
is4mmorethlnIperimeter of a rectangular garden, whose lengthFind the dimensions of the garden.then. |
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| 3. |
Half the perimeter of a rectangular garden whose length is 12m more than its width, is 60m.find the dimension of a garden |
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| 4. |
| Half the Perimeter of a rectangular gardenwhose length is 4M More than its width is36u Find the diversion of the garden. |
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Answer» Let the width be x.then length be x+4A/Q-l+b=36x+(x+4)=362x+4=362x=36-42x=32x=16.Hence, The length of garden will be 20 m and width willbe 16 m. perimeter =2 (l+b)half peri. 36m= (l+b)let breadth=xlength= 4xperimeter= 2×36= 72mperimeter = 2 (l+b)72= 2 (4+x+x)36= 4+2x36-4=2x32= 2x32/2=x16=xbreadth=16length= x+4=16+4=20 perimeter = 2( l+b); half peri=36m=( l+b); breadth=x; length=4x; perimeter=2×36=72 m; 36=4+2x; 36-4=2x; 32=2x; x=32/2=16 = breadth; length=x+4=16+4=20 |
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| 5. |
Half36 m. Find the dimensions of the garden.the perimeter of arectangular garden, whose length is 4 m more than its width |
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| 6. |
5. Half the perimeter of a rectangular garden, whose length is 4 m more than its w36 m. Find the dimensions of the garden. |
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| 7. |
Find the mode age of the patients from the following distribution?3 MARKSAge(inyears)No. ofpatients6-15 16-25 26-35 36-45 46-55 |56-65611 21145 |
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| 8. |
1. A drinking glass is in the shape of a frustum of acone of height 14 cm. The diameters of its twocircular ends are 4 cm and 2 cm. Find the capacity ofthe glass. |
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| 9. |
1. A drinking glass is in the shape of a frustum of acone of height 14 cm. The diameters of its two.circular ends are 4 cm and 2 cm. Find the capacity ofthe glass. |
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| 10. |
11. The following distribution shows the number of out door patients in 64 hospitalsIf the mean is 18, find the missing frequencies fi and f2Number of patients 11 13 13-15 15-17 17-19 19-21 21-23 23-257613 J2Number of hospitals |
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| 11. |
The following table shows the ages of the patients admitted in a hospital during a yearAge (in years) 5-15 15-25 25-35 35-45 45-55. 55-65Number of 6. 11. 21. 23 14 5patientsFind the mode and the mean of the data given above. Compare and interpret the two measures of central tendency. |
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| 12. |
Statistics34EXERCISE 14.2The following table shows the ages ofthe patients admitted in a hospital during a(in years)ber of patients 6Find the mode and the mean of the data given abov5-15 15-25 25-35 35-45 45-55 55-65212314e. Compare and interpret tht |
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| 13. |
The following table shows the ages of the patients admitted in a hospital during a yearAge (in years)Number of patients 65-15 15-25 25-35 35-45 45-55 55-65Find the mode and the mean of the data given above. Compare and interpret the twomeasures of central tendency. |
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| 14. |
LRCISE 14.2table shows the ages of the patients admitted in a hospital during a year:1. The following5-15 15-25 25-35 35 45 45-5555-65Age (in years)Number of patients 6Find the mode and the mean of the data given above. Compare and interpret the two212314measures of central tendency.2. The following data gives the information on the ohsenelectrical components: |
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Answer» Right |
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| 15. |
A soft drink is available in two packs-(i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a heightof 15 cm and(ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cmWhich container has greater capacity and by how much? |
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| 16. |
of le5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder withbase of diameter 7 cm and height 10 cm. Which container has greater capacicughow much'?3. A soft drink is available in two packs - (i) a tin can with a rectangular baseacity and |
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| 17. |
3, A soft drink is available in two packs -() a tin can with a rectangular base of length5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circularbase of diameter 7 cm and height 10 cm. Which container has greater capacity and byow much?io rer |
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| 18. |
An iceberg 66 m tall is floating in the sea.part ofthe iceberg is under water. How many metres of theiceberg's height can be seen above the water? |
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Answer» Total height = 66mSubmerged part = 5/6×66 = 55 mIceberg height seen above the water = 66-55 = 11 m |
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| 19. |
9. An iceberg 66 m tall is floating in the sea. 2 part ofthe iceberg is under water. How many metres of theiceberg's height can be seen above the water? |
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Answer» Above water will be (1-5/6)=1/6th partHence 1/6th of 66 will be 1/6*66=11m got thanks |
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| 20. |
3. A soft drink is available in two packs -(i) a tin can with a rectangular base of length5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circularbase of diameter 7 cm and height 10 cm. Which container has greater capacity and byhow much? |
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| 21. |
2.4 cm3.2 cm4.8 cm(A) 2.6 cm (B) 4.5 cm (C) 3.6cm (D) 2 cm |
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Answer» As DE || BC Use Basic Proportionality Theorem DE/BD = AE /EC 2.4/BD = 3.2/4.8 BD = (2.4 × 4.8)/3.2 BD = 3.6 cm |
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| 22. |
How many tiles with dimensions14 cm and 9 cm will be needed to fit a region whoselength and broadth are 168 cm and 72m |
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Answer» (a) Total area of the region = 100 × 144 = 14400 cm2 Area of one tile = 12 × 5 = 60 cm2 Number of tiles required =14400/60=240 Therefore, 240 tiles are required. (b) Total area of the region = 70 × 36 = 2520 cm2 Area of one tile = 60 cm2 Number of tiles required =2520/60=42 Therefore, 42 tiles are required. |
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| 23. |
congruencee cond2.In the following figures, which pairs of triangles are congruent under S$55 cm9 cm(b) pC (a)4.2 cm(d)RC (c) R |
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| 24. |
B) 2 cmC) 5 cmD) 3 cmA)4 cm |
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| 25. |
12. How many tiles whose length and breadth are 12cm and 5 cn respectivelywlneeded to fit in a rectangular region whose length and breadth are respectively(a) 100 cm and 144 cm (b) 70 cm and 36 cm. |
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| 26. |
How many tiles whose length and breadth are 12 cm and 3 ena respbe needed to fit in a rectangular region whose length and breadth are(a) 100 cm and 144 cm (b) 70 cm and 36 em. |
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| 27. |
2.How many tiles whose length and breadth are 12 cm and 5 em respectively wneeded to fit in a rectangular region whose length and breadth are respectivel(a) 100 cm and 144 cm (b) 70 cm and 36 cm.vely wil |
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Answer» a |
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| 28. |
India's Prime Minister ? |
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Answer» Ans :- Narendra Modi Since2014 |
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| 29. |
that (a cosa)" + (b sina)n = pn.Show that the tangent to the curve x = a (t - sint), y = at ( 1 + cost) at t =has slope 1 - |
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Answer» please like my answers |
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| 30. |
4 r ^ 2 - 2 = 0 |
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Answer» Like if you find it useful |
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| 31. |
How to factorise r^4+r^2+1 ? |
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Answer» take r^2 =tthen we can get simple quadratic eq. t^2 +t +1=0t={-1+(1-4)^0.5}/2,{-1-(1-4)^0.5)}/2t=-1/2 +sqrt(3) i /2,-1/2-sqrt(3) i /2r=t^0.5r={-1/2+sqrt(3) i /2}^0.5, {-1/2-sqrt(3) i/2}^0.5 ans is this r^4 +r^2 +1add and subtract r^3 , r^2 and rwe get, r^4 +(r^3+r^2 -r^3 -r^2 +r -r )+r^2 +1now arranging them=(r^4 +r^3 +r^2)-(r^3 +r^2 +r)+(r^2 +r+1)=r^2(r^2+r+1)-r (r^2 +r+1)+1 (r^2 +r+1)=(r^2-r+1)(r^2 +r+1) is there any trick to factorise the polynomial ? some times tricks are not applied to all questions so we have try hit and trial method. |
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| 32. |
RIn the given figure, ABCD is a square and<PQR = 90°. If PB = QC = DR, prove that(i) QB = RC, (ii) PQ = QR, (iii) 2QPRs 45°. |
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| 33. |
1Evalute the following limit usingL' Hospital Ranke! V1 lim Weari - Va. |
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Answer» ummm i dont know theeeee anwser sorry but solve it pls some one ummm I don't know there're answer sorry but solve it places some one |
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| 34. |
40°1350 |
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Answer» b+ 135 =180 (linear pair of angles)=>b =180-135 => b=45 degrees a+40 =135 {the exterior angle is equal to the sum of opposite interior angles of a triangle} =>a =135-40=>a =95 degrees |
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| 35. |
50 people consume 1000 litres of water in 15 days at the same rate how many people consume 4000 litres of water in 30 days? |
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Answer» thanks |
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| 36. |
108. 40 persons consume 200 kg of rice in30 days. In how many days will30 persons consume 500 kg of rice?(1) 120(3) 90(2) 80(4) 100 |
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Answer» Assuming Average diet per person = constant Per Person Per Day Consumption = 200 kg/ (40 pax * 30 day) = 1/6 kg Therefore, Days = 500 Kg / (1/6kg * 30 pax) = 100 days |
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| 37. |
soft drink is available in two packs -(i) a tin can with a rectangular base of length5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circularase of diameter 7 cm and height 10 cm. Which container has greater capacity and byhow much? |
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| 38. |
5. Points P, Q and R in that order one dividing a line2segment joining A(1, 6) and B(5, -2) in four equalparts. Find the coordinates of P, Q and R |
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| 39. |
015) If the points (p. q). (m, n) and (p m, q-n) are collincar, show pn -qmQ.16)Distance formula. |
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| 40. |
If a circle touches all the four sides of a quadrilateral ABCD at points P, Q, R and S then prove that AB+CD=BC + DA. |
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Answer» Like if you find it useful |
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| 41. |
3.If P(2,-1),Q(3,4),R(-2,3) and S(-3,-2) four points in a plane ,show that PQRS is a rhombus butnot a square. |
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| 42. |
(b)If a circle touches all the four sides of a quadrilateral ABCD at points P, Q, R and S,then prove that AB + CDBC + DA. |
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| 43. |
OR(b) If a circle touches all the four sides of a quadrilateral ABCD at points P, Q, R and sthen prove that AB + CD # BC + DA. |
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Answer» Like my answer if you find it useful! |
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| 44. |
Plh 2 2P wy Gy b 2302h bl (५ [9५९] फिट o e का 09 (0... पम्णे 009 प/ण्णज 0६८ (8) किम 00s (V)dajin 1 e YtB के ०4 1२७ |6 छिनि है 224 0३) | डे ॥७९५ 1298 (9 समिट क2 # है oPR Bl 1 yury 05T 0128 कै¢ AUV¢ )mBN o L s 28 wwm9 (v ( |
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Answer» hit like if you find it useful |
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| 45. |
16. The line joining the points (2, 1) and (5, -8) is trisected at the points P and Q. If point P lies orthe line 2x -y+k0, find the value of k. |
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| 46. |
wy-ulI.8. Find four different solutions of the equation 5x + 3y = 16. |
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Answer» 5x + 3y = 16x = (16 - 3y)/5 For y = 2x = (16 - 3*2)/5 = 10/5 = 2 For y = - 3x = (16 + 3*3)/5 = 25/5 = 5 For y = 3x = (16 - 3*3)/5 = 7/5 For y = 4x = (16 - 3*4)/5 = 3/5 Therefore, four solutions are(2,2), (5,-3), (7/5, 3), (3/5,4) |
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| 47. |
A, B, C and D are four points on the sides PQ, QR, RS and SP resepectively of a parallelogramPQRS such that PA16.QB RCSD. Prove that ABCD is a parallelogram. |
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| 48. |
(m2 +14m +31)(m +10) |
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| 49. |
cot θ = cot 09=00,tan2 Atan2 A1 + secAsec2 A-11 + sec A(sec A + 16 |
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Answer» thank you |
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| 50. |
(ii)(n12-14m-32)(m + 2) |
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Answer» hit like if you find it useful |
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