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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. |
IF 12276+ 155-7920. What is value of 1227.6 7920?(1) 1.55(2) 0.0155(3) 0.155(4) 15.5 |
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| 2. |
that (1 -$ing+cosa)’ =2 (1 fl‘os&)(lw n |
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| 3. |
What is the middle of the scores in a dataarranged in ascending or descendorder known as14.ing |
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Answer» Themedianof a set of data values is the middle value of the data set when it has been arranged in ascending order. That is, from the smallest value to the highest value. |
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| 4. |
एप डा- ing =i =2 G0 % 5e ,\b ow dust Gnl> > G im0 B8ingकि e . |
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Answer» Cos-sin =√2sin squaring both sides (cos-sin)²= (√2sin)² cos²+sin²-2cossin = 2sin² cos²= 2sin²-sin²+2 cos sin cos² = sin²+2cos sin Adding cos both sides cos²+cos² = sin²+2cos sin +cos² 2cos² = (sin+cos)² √(2cos²) = sin +cos √2 cos = cos + sin |
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| 5. |
5. The circumference of a circle is 3.14 m, find its area.6 If tha nr |
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| 6. |
mple 17 Find the equation of a line perpendicular to the line x -ing through the point (1,-2) |
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| 7. |
The side AB of a parallelogram ABCD is producedo any point P. A line through A and parallel to CPmeets CB produced at Q and then parallelogram APBQR is completed (see Fig. 9.26). Show thatar(ABCD)-ar (PBQR).Hint : Join AC and PQ. Now compare ar (ACO)and ar (APQ).]Fig. 9.26 |
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| 8. |
A man can row 12 km/h in still water. If rate of current is 6 km/h then find the time taken by him to place 9 km downstream. |
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Answer» Speed in still water=12km/hspeed of current=6km/hspeed of boat downstream=12+6=18km/hdistance downstream=9kmsince time =distance/timetherefore time taken=9/18=1/2hr=30 minutes |
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| 9. |
arallelogram ABCD, E and F are theíd-points of sides AB and CD respectively(see Fig. 8.31). Show that the line segments AFand EC trisect the diagonal BD.OintFig. 831 |
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| 10. |
ar (ABE) ar (ACF) D9. The side AB of a parallelogram ABCD is producedto any point P. A line through A and parallel to CPmeets CB produced at Q and then parallelogramPBQR is completed (see Fig. 9.26). Show thatar (ABCD) ar (PBQR).Hint: Join AC and PQ. Now compare ar (ACQ)and ar (APQ).1Fig. 9.26rium A RCD with ABIDCintersect each oth |
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| 11. |
10 In the adjoining figure, D is the midpointof side AB of AABC and P is any point onBC. If CQ PD meets AB in Q, prove thatar(ABPO)ar(AABC) |
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| 12. |
Example 5: Given the pmany such equations are there?oint (1, 2), find the equation of a line on which it lies. HowCoe Sa you are |
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Answer» wlcm |
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| 13. |
(1) 10 +2=4i155--2.x+y&- yx+y&- y |
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| 14. |
EXERCISE 6.2In Fig. 6.28, find the values of x and y and thenshow that ABICD130 DFig. 628 |
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Answer» tnx |
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| 15. |
Can a kite be constructed lf its orie side-45 en anini58 cm? What property of a kite is used in this construttionÄ°L |
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Answer» picture is not clear |
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| 16. |
Count the number of shapes in each figure. Write the numbers in the blank0a)r to draw the given figures |
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Answer» there are 5 squares and 8 triangles 5 square (4same parameter +1 another shape ) and 8 triangles 5 square and 8 triangle 5 square and 8 triangle 5 square and 8 triangle is right answer of this question there are 9 shapes in a and 8 shapes in b There are 9 shapes in a) and 8 shapes in b) |
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| 17. |
FUN AT HOMEke some toothpicks and try to make various shapes using them. Draw theapes you make and write the number of toothpicks used.LET'S DRAWDraw a circle, triangle, rectangle and square. Using these shapes, draw anobject and colour it. One example has been given below.PRESIDIUM |
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Answer» for circle: sunfor triangle: triangular measurefor square: piece of dairy milkfor rectangle: basic cell phone |
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| 18. |
aute side AB of a puralielogramABCD is proctacedany point P Alime ough A and parallel to CPers CB produced an Q and them paraliellogramQR is completed (see Fg 925) Show thanr Join AC and PQ Now compare ar (ACOO RFig.26 |
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Answer» ABC PQR आणि AB:PQ=2:3 तर A(ABC):A(PQR)=? |
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| 19. |
7. How many cubic meters of earth must be dugout to siany cubic meters of earth must be dugout to sink a well 22.5 m deep & of diameter 7nmAlso, find the cowith diameter 20cm has water to a height of9 cmst of plastering the inner curved surface at Rs 3 per squaremeter. A glass cylindervolume of a metallic cylinder pipe is 748 cm3. It length is 14cm & its external radius is 9cm.Find its thickness |
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Answer» thanks for answering me |
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| 20. |
the following are the steps involved converting 0.23 into p/q form where p ¥0 arrange then inequential order from the first to the last. |
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Answer» Please provide the complete question. |
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| 21. |
9./ The side AB of a parallelogram ABCD is producedto any point P. A line through A and parallel to CPmeets CB produced at Q and then parallelogramPBQR is completed (see Fig. 9.26). Show thatar (ABCD) = ar (PBOR).[Hint Join AC and PQ. Now compare ar (ACQ)and ar (APQ).] |
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| 22. |
in an isoseles triangle ABC with AB=AC , bisector of angle B and angle C intersect each other at O . join A to O |
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Answer» thanks |
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| 23. |
H)-ar (ACF)paralleloproduced at Q and then parallelogramNof a parallelogram ABCD is produced4,. The side ABoint P. A line through A and parallel to CPR is completed (see Fig. 9.26). Show that:Join AC and PQ. Now compare ar (ACQ)toets CBar (ABCD) ar (PBQR).and ar (APQ).]meFig, 9.26 |
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| 24. |
The population of a location was25 840. The total number of menand children was 17 200 while thenumber of children was 2 218than that of women. How manumen were there?A. 6 342C. 10 858 D. 10 77811.moreB. 8 640 |
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Answer» Let number of women = nThen,Number of children = n + 2218Number of children and men = 17200Total population = 25840n + 17200 = 25840n = 25840 - 17200 = 8640 Thus, Number of children = 8640 + 2218 = 10858 Number of men = 17200 - 10858= 6342 (A) is correct option |
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| 25. |
10 Find the value of:a The base and the expo628 x 35 x 64 x 155 |
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| 26. |
ar (ABE) = ar (AP. A line through A and parallel to CPBOR is completed (see Fig. 9.26). Showtthe side AB of a parallelogram ABCD is produceto any pointmeets CB produced at Q and then parallelograr (ABCD) = ar (PBOR).IHint : Join AC and PQ. Now compare ar (Aand ar (APQ).) |
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| 27. |
For the given shapes, which oneof the following statements is notcorrect?(1) Two of them are rectangles.(2) All are parallelograms.(3) One of them is not aparallelogram(4) Two of them are rhombuses. |
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Answer» The second and third figures are rectangles. So, first option correct.All figures have parallel opposite sides. So second is correct as well.3rd is the incorrect option. |
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| 28. |
2. Construct aP9R in which 9R-6 cm, РД5.3 cm. Draw the bisect4.4 cm and PRof ZP. |
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| 29. |
b Prove that the shortest segment from a point to a linc is theperpendicular segment. |
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| 30. |
the diameter of a cylindrical pillers is 24 cm and height is 3.5 m respectively . the cost of paintings of the pullers is rs.1.25 per square meters, then find the cost of painting 12 same pillers |
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| 31. |
ovie ally orie1) An aeroplane when 3000 m high passes verticlly above one another at an instantwhen their anglies of elevation at the same Observing point are 0 and 45respectively. How many meters lower aeroplane than the above? |
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| 32. |
In the given figure, AD = AQ and AB = AC, prove that(i) DC = QB(ii) ZACD = ZABQ. |
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Answer» DC ^2 = AD^2 -AC^2let AD =XAC=YX^2 -Y^2 QB^2 =AQ^2- AB^2 QB^2= X^2-Y^2aince AQ=ADAC=AB angle ACD = angle ABQthis is possinle since they both are right anhgled traingles |
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| 33. |
6 In the diagram ACE is a triangle.66°BD is parallel to AE.Angle BAE 66 and angle AED 72720Work out, giving reasons for your answers:a angle db angle e.E42 |
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| 34. |
if a sec θ + b tan θ + c0and p sec θ+q tan θ + r-0. Show that(pc ar(aq - bp) |
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Answer» Asecθ+Btanθ+C=0or, C=-(Asecθ+Btanθ)Psecθ+Qtanθ+R=0or, R=-(Psecθ+Qtanθ)∴, (BR-QC)²-(PC-AR)²=[B{-(Psecθ+Qtanθ)}-Q{-(Asecθ+Btanθ)}]²-[P{-(Asecθ+Btanθ)}-A{-(Psecθ+Qtanθ)}]²=(-BPsecθ-BQtanθ+AQsecθ+BQtanθ)²-(-APsecθ-BPtanθ+APsecθ+AQtanθ)²=(AQ-BP)²sec²θ-(AQ-BP)²tan²θ=(AQ-BP)²(sec²θ-tan²θ)=(AQ-BP)² (Proved) [∵, sec²θ-tan²θ=1] |
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| 35. |
In given Fig, ABCD is a parallelogram andBC is produced to a point Q so that ADCQ. If AQ intersect DC at P, then show thatar (BPC) ar (DPQHint: Join AC.] |
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| 36. |
11. In the given figure, ABCD and ABPQ are twoCPparallelograms and M is a point on AQ and BMPis a triangle.Then, ar(ABMP) ar(lgm ABCD) is(a) true8(b) false |
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| 37. |
2.241 In the Fig. AP is the shortest line segment thatcan be drawn from A to line m. If PR PO.prove that AR>AQ.R mTd |
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| 38. |
9.Eind the slope of a straight line, which cuts off from theaxes:(i) equal intercepts(ii) interceptsequal in magnitude but opposite insign. |
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Answer» Thanksssssssssssss😊😊😊😊 |
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| 39. |
fromx-5Find the slope and intercepts of the line |
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Answer» line equation in slope form is y = mx+c , m → slope and c→ y intercept 2x/3 -7y/9 = 5 => 7y/9 = 2x/3 -5=> 7y = 6x -45=> y = 6x/7 -45/7 so, slope is 6/7 and y - intercept is = -45/7 now put y = 0 , to get the x - intercept as = 45/6 |
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| 40. |
Find the values of x, y and z from9rns |
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Answer» wrong answer if two matrices are equal then corresponding elements are equal : x=1;y=4;z=3 |
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| 41. |
वि कंL2 AN8_Bsen G \asman. $raXn oo w03B vom® \aseaen 03, हि. &%Wo\z |
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Answer» Givenl+b+h=17digonal=13 cmNow,diagonal =√l²+b²+h² = 13⇒l²+b²+h² = 13² = 169 l+b+h=17⇒(l+b+h)²=17² = 289⇒l²+b²+h²+2(lb+bh+lh)=289⇒169 + total surface area = 289⇒TSA = 289-169 = 120cm² |
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| 42. |
speed of tain to speed of bus./ In winters, a school opens at 10 a.m. and closes at 3.30 p.m. If the lunch interval is of30 minutes, find the ratio of lunch interval to total time of the class periods. |
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Answer» class time = 5 hours ratio = 30:5*60 minutes = 30:300 = 1:10 |
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| 43. |
4 tain tonavels a distance3kmthe Journeyhe would hauc taken 2ho)swould have taken 2has |
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| 44. |
How would you rewrite Euclid'ssothat its fith postulate so that it would be casier to understand? |
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| 45. |
8. In given figure, ABCD is a trapezium in which AB |IDC. Prove thatar (AAOD)ar (ABOC). |
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| 46. |
4.In the given figure, the area of Il gm ABCD is 90 cm2 State giving reasons(0) ar (lI gm ABEF) () ar (AABD) (i) ar (ABEF) |
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| 47. |
6. Find the equation of the straight line which passes through the point (-3,8) adIn Δ。LMcuts off positive intercepts on the coordinate axes whose sum is 7 |
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| 48. |
Sectio7. In the given figure, PO|BC and PR||CD.Prove thatAR AQAD ABQB RDAQ AR |
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| 49. |
uation of the circle passing through (0.0) and making intercepts a anb on the coordinate axes |
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| 50. |
Find the centroid of the triangle formed by the line 2x+3y-6=0 with the coordinate axes. |
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