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.
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1. Construct a quadrilateral ABCD in which AB = 4.4cm, BC = 4cm, CD = 6.4cm,DA = 2.8cm and BD = 6.6cm |
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| 2. |
Fnd the length of the diagonal of a rectanglewith sides 8 cm and 6 cm. |
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| 3. |
EXERCISE 1.1Q.1 A) Determine which of the following pairsof angles are co-terminal.i) 210°, -150° ii) 360°, -30°iii) -180°, 540° iv) -405°, 675°v) 860°, 580° vi) 900°, -900° |
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Answer» 1) 210-(-150)=1(360) which are multiple of 360so 210,(-150) are co terminals 2) 360-(-30)=390=3(130)which are notmultiple of 360so 360(-30) are not co terminal angles 1) i) 210-150=210-(-150)=210+150=360, so, 210, (-150) are co terminals; 1)¡) 210-150=210-(-150)=210+150=360, so,210,(-150) are co terminals |
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| 4. |
+ (NCERT90°30°e x, y and z are the exterior a+ z = 360°900 + x= 1 800x=90°z +30° 180° |
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| 5. |
9. The price of a muffin increases fromRs 4 to Rs 5. What is the percentage increase? |
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Answer» Increase of cost 5-4 = 1% of increase = 1/4 × 100 = 25% |
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| 6. |
8.Twostraightpathsarerepresentedby the equations x-3y 2 and 6y -2x 5. Checkwhether the paths cross each other or not. |
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| 7. |
1. Construct a quadrilateral ABCD in which:(a) AB = 4.2 cm, BC = 4.8 cm, CD = 6.3 cm, DA = 3.1 cm, BD = 6.7 cm |
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| 8. |
Construct a quadrilateral ABCD in which AB 4.5 cm, BC 4cm, CD 6.5cm, DA 3cm and BD 6.5 cm. |
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| 9. |
The parallel sides of a trapezium are 20 cm and30 m and its non-parallel sieles avend the area of the trapezium |
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Answer» Let ABCD be the trapezium in which AB is parallel to DC. Let AB = 30cm, DC=20 cm,and the non parallel sides AD =6cm and BC = 8cm. Draw perpendiculars DE and CF from D and C to AB respectively. So DE = CF. DC=EF = 20cm. Let AE = x cm . Then BF = 10-x. In right triangle ADE DE^2 = AD^2 - AE^2 In right triangle BCF , CF^2 = BC^2 - BF^2 => AD^2-AE^2 = BC^2-BF^2 => 36-x^2 = 64 -(10-x)^2 => 20x = 72 => x=3.6 So DE^2 = 36 - 3.6^2 = 36 - 12.96 =23.04 So DE =√23.04 = 4.8 cm So area of trapezium = (1/2)h(a+b) = (1/2)×4.8×(30+20) = 2.4×50 =120cm² Like my answer if you find it useful! |
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| 10. |
4. On one day a rickshaw puller earned 160. Out of his earnings he spent 26 on tesnacks, 50 on food and 16 on repairs of the rickshaw. How much did he sayeonday? |
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Answer» Total earnings = 160Total expenses= 26 3/5 + 50 1/2 + 16 2/5= 133/5 + 101/2 + 82/5= 215/5 + 101/2= 43 + 101/2= (86 + 101)/2= 187/2 = 93.5 Total savings= 160 - 93.5= Rs 66.5 |
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| 11. |
From the top of a hill, the angles of depression of two consecutivekilometre stones due east are found to be 45° and 30° respectivelyFind the height of the hill.CBSE 2017] |
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| 12. |
From the top of a tower, the angle of depression of two consecutive kilometre stones,due east are found to be 30° and 45°. Find the distance of the nearer stone from thefoot of the tower. |
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51. A sailor goes 8 km downstream in 40 minand comes back in 1 h. Find the speed ofsailor in still water and the speed ofCBSE 2010current. |
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Answer» Let the speed of sailor in still water is x km/hr and the speed of stream is y km/hr. Now, the speed of boat (upstream) = (x - y) km/hr and the speed of boat (downstream) = (x + y) km/hr Now, according to question, 8/(x + y) = 40/60 {Since time = distance/speed} => 8/(x + y) = 4/6 => 4(x + y) = 8*6 => 4(x + y) = 48 => x + y = 48/4 => x + y = 12 ................1 Again, 8/(x - y) = 1 x - y = 8 ...............2 Add equation 1 and 2, we get 2x = 20 => x = 20/2 => x = 10 From equation 1, we get 10 + y = 12 => y = 12 - 10 => y = 2 Hence, the speed of sailor in still water is 10 km/hr and the speed of stream is 2 km/hr Thank u so much |
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| 14. |
Prove that the ratio of areas of two similar triangls is equal to thesquare of the ratio of their arresponding sides. |
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EXERCISE 4.3is a student of class IV and his school is 2052 m away trom his hmss to his school and comes back home daily. How muhtetoHow much dstance does hecover daily? |
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Answer» 2052 metre awayhenceto come back he has to cover same distancehence2*2052=4104metres. Thank u |
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| 16. |
Construct a quadrilateral ABCD, in which AB 1.2 cm, BC 1.8 cm, CD 1.8 cm and AD1.3 cm. Construct another quadrilateral AB' C'D', with diagonal AC" 3 cm, such that it issimilar to quadrilateral ABCD.4 |
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| 17. |
Fill in the blanksThe National Congress was formed in____(1785 /1885) |
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Answer» Indian national congress was formed on 1885. |
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| 18. |
15. Find the area of a square whose diagonal is 5/2 cm.Hint. Area-Bx(diagonal"]squrtts.22 |
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| 19. |
s guestions. (Any four)14 Marks(1)Write the opposite rayof ray PQ.â |
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Answer» Opposite Ray of ray PQ is Ray QP. |
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| 20. |
1. Construct a quadrilateralABCD, in whichAB 4.0 cm, BC 6.0 cm, CD DA 52 cmand AC 8.0 cm. |
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Answer» thanks |
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| 21. |
QF Draw a QuadriletecallAVIIn whichRA -HYR - 5hAVE 46 cm, I'R = 52 cmSVT=bm |
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Answer» 8.5 is correct hoga answer |
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| 22. |
(b) What is the side of the square whose area is 36 sq cm? |
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Answer» area=36side=6cm is the best answer area =36side =6cm is the right answer Sideofthesquare(a)=6cm Explanation: Let thesideofasquare=acm Areaofthesquare=36cm² [given] ________________________ Weknowthat, \boxed{Area \: of \: the \: square \: (A) = a^{2}}Areaofthesquare(A)=a2 ________________________ Now, =>a²=36cm² =>a²=(6cm)² =>a=6cm Therefore, Sideofthesquare(A)=6cm Sideofthesquare(a)=6cm Explanation: Let thesideofasquare=acm Areaofthesquare ________________________ Now, =>a²=36cm² =>a²=(6cm)² =>a=6cm Therefore, Sideofthesquare(A)=6cm |
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| 23. |
Find the area of the triangle formed by joining the mid-points of the sides of the trianglswhose vertices are (0,-). (2, 1) and (0, 3). Find the ratio of this area to the area ofgiven triangle. |
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he area of a rectangle is 180 m2. If its length is 18 m, find its breadth androom is 13 m long m bperimeter.and 10 m broad. Find the cost of carpeting the floor at the rate of 2650 per m-tis s6 m long and 25 m broad. Find the side of a square whose area is equal to th36 m long and 25 m broad. Find the side of a square whose area is equal to theA rectanglethis rectangle.to the area of a square if its side is (a) halved and (b) doubled?Howmany stamps of size 2 cm x 1.5 cm can be pasted on a sheet of paper of size 6 cm x 12 cm? |
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Answer» area = length x breadth180= 18 x bbreadth = 10cm perimeter= 2(l + b)= 2 (18+10)= 56cm |
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Find the area of the triangle formed by joining the mid-points of the sides of thewhose vertices are (0,-1), (2, 1) and (0, 3). Find the ratio of thisgiven triangle3.area to the areutiof te |
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c) Convert to km/hr:i) 30 m/sii) 10 m/s |
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| 27. |
TI ) 8 (2)ved ExamplesEvaluate :a. (-2)-5a. (-2)* = -2 |
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Answer» correct answer is1/-32 |
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(2)6,.In the adjoining figure. ! >y. Prove that AB > ACeadjoved. |
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| 29. |
0%f area of AABC whose vertices are A(4,K), B(-2,-4) and C(6, -3) is 66. Square unit Find "" |
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| 30. |
2. If the diagonal of a square is'a' units, what is the diagonal of the square, whose area isdoubel that of the first square? |
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Answer» Let the sides of the first square be denoted byx. Therefore,x²+x²=a²by the Pythagorean theorem 2x²=a² Therefore, the area of the first square is0.5a² If the area of the second square is double that of the first square, the area of the second square isa² Therefore, the sides of the second square has lengthaa. Therefore, the second square has diagonal of length(2^1/2)a= √2a² Please like the solution 👍 ✔️ |
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| 31. |
oat goes 16km upstream and 24 km downstream in 6 hours Type equation here also, itcovers 12 km upstream and 36km downstreara in the same time. Find the speed of the boat inthe stillwater and that of the stream. |
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| 32. |
4. If one side of a square is decreased by 2 manthe other is increased by 1 m, a rectangle willbe formed whose area is 9 sq. m less than thearea of the square. Find the side of the square. |
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Answer» Let the side of square be x Area of square = x² By reducing a side by 2m the side becomes x-2 by increasing the other side by 1m side becomes =x+1 The area of rectangle = (x-2) (x+1) x²= (x-2) (x+1) + 9 x²= x²+x-2x -2 +9 x²-x2²+x = 7 x=7 Therefore the side of square = 7m but why did you add 9 over there??? please reply please reply Krupa Gopal please answer |
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| 33. |
Practice set 3.51.In figure 3.77, ray PQ touches thecircle at point Q. PQfind PS and RS.12, PR8,In figure 3.78 chord A |
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Answer» Thanks |
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| 34. |
33Q.27-Find a quadratic polynomial, the sum and product of whosezeroes are v2 andrespectively. Also find its zeros |
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Answer» -1/√2 ,3/√2 the correct answer of the given question -1/√2,3/√2 is correct answer |
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| 35. |
10Convert 72905 10 to hexadecimal. |
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Answer» ( 11CC9 )16 final answer |
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| 36. |
39. Solve for r and y for the following equations 6x +3y - 6xy and 2x +4y-5ay bycress-multiplication method. |
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| 37. |
Worksheet 2gtop 3 TheSo1. The Fig. 11.6 shows two paths drawn inside a rectangular field 50 mwide. The width of each path is 5 m. Find the area of the shaded pontion,35 m5 m50 m |
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| 38. |
Worksheet 2e Fig. 11.6 shows two paths drawn inside a rectangular field 50 m long and 35 mwide. The width of each path is 5 m. Find the area of the shaded portion.1. Th5 m35 m50mFig. 11.6 |
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Answer» Area of shaded portion=(5*35)+(5*50)-(5*5) =175+250-25=425-25=400m² |
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| 39. |
of Baroda'sbile Bankinglication!MPIN on your62rough internetBranch |
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Answer» √625=√25×25=25because 25×25=625 |
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| 40. |
. The boat's speed in still water is 30 km/h. A boat travels for three hours downstream and then returns thesame distance upstream in five hours. Find the speed of the stream. |
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| 41. |
a boat goes 16km upstream and 24km downstream in 6 hours. also it covers 12km upstream & 36km downstream in the same time. find the speed of the boat in still water & that of the stream. (boat-8km/h ,stream-4km/h) |
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| 42. |
a boat goes 16km upstream and 24km downstream in 6 hrs.also it covers 12km upstream & 36km downstream in the same time.find the speed of the boat in still water and that of the stream |
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| 43. |
the sum of the speed of a boat in still Water and the speed of the current is 10kmph. If the boat takes 40%of the time to travel downstream when compared to that Upstream then find the difference of the speeds of the boat when travelling Upstream and downstream. |
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Answer» sun rays go on the water And its called water cycle |
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leQtohat ango made by mediansaj a slarg |
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Answer» Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle'scentroid. In the case ofisoscelesandequilateraltriangles, a medianbisects any angleat a vertex whose two adjacent sides are equal in length |
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| 45. |
14. Divide 35400 into two parts such that if one part is invested in 9%,100 shares at 4% discountand the other in12%, 50 shares at 8% premium, the annual incomes are equal. |
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| 46. |
1. First give step you will use to separate variable andthen solve the equations.(a) x+2=4 (b) x+5=7 |
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Answer» (a). x+2=4=>x=4-2=>x=2 (b) x+5=7 => x = 7-5 =>x = 2 x+2=4 x=4-2,x=2 2.x+5=7,x=7-5,x=2 (a) x+2 =4 =x=4-2=x=2 |
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| 47. |
. Give first the step you will use to separate the variable and then solve the equation+10 (c)-1 5 (d) +6 2y+4=4L ton ou will use to separate the variable and then solve the equation |
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Answer» (a)x – 1 = 0 Answer:Step 1: The number 1 will be moved to RHS of equation with suitable change in sign.So, x – 1 = 0Or, x = 0 + 1 = 1 (b)x + 1 = 0 Answer:Step 1: The number 1 will be moved to RHS of equation with suitable change in sign.So, x + 1 = 0Or, x = 0 – 1 = - 1 (c)x – 1 = 5 Answer:The number 1 will be moved to RHS of equation with suitable change in sign.So, x – 1 = 5Or, x = 5 + 1 = 6 (d)x + 6 = 2 Answer:The number 6 will be moved to RHS of equation with suitable change in sign.So, x + 6 = 2Or, x = 2 – 6 = - 4 (e)y – 4 = - 7 Answer:The number 4 will be moved to RHS of equation with suitable change in sign.So, y – 4 = 7Or, y = 7 + 4 = 11 (f)y – 4 = 4 Answer:The number 4 will be moved to RHS of equation with suitable change in sign.So, y – 4 = 4Or, y = 4 + 4 = 8 (g)y + 4 = 4 Answer:The number 4 will be moved to RHS of equation with suitable change in sign.So, y + 4 = 4Or, y = 4 – 4 = 0 (h)y + 4 = - 4 Answer:The number 4 will be moved to RHS of equation with suitable change in sign.So, y + 4 = - 4Or, y = - 4 – 4 = - 8 Adding +1on both sides,X - 1+1=0+1X=1 |
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| 48. |
"अभ्यास-1.31. कस्ब का एक समाचार-पत्र प्रतिदिन मुद्रित होता है। इसमें 12 पर होते है। प्रतिदिन 11980 प्रतियां छपती हैं। प्रतिदिन कितन पृष्ठ ।छपते हैं? |
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Answer» Daly prashth =12Total prashth = 11980= 11980/12 = 998. 3 =12×11980=143760 ans 637882553 IS A RIGHT ANSWER 143760 is the right answer of this question |
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| 49. |
Ifp+12, find the value of p |
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| 50. |
Ifp = _ 7 and q = 12 and x2 + px + q = 0.then find the value of x. |
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Answer» Put the valuesx^2-7x+12=0henceroots=-b+-√b^2-4ac/2a=7+-√49-48/2=7+-1/2x=3,4 |
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