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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. |
6. Write whether 2445+3/2on simplification is a rational or irrational number. |
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| 2. |
Write whether 2/45+ 320on simplification gives an irrational or a rationalnumber |
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| 3. |
write the equation y V3 = x+V3 in general form.Check whether (0.1solutions of this equation.Whether (0, 1) and ( V3,9) areb) Give |
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| 4. |
Write whether 49245 + 3V20onon simplification gives an irrational or a rational25number |
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Answer» 2V45+3V20/2V5= 2V9x5 + 3V4x5/2V5=6V5+6V5/2V5= 12V5/2V5=12/2=6 |
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| 5. |
Write whether 2/453 20 on simplification gives a rational or an2/5irrational number |
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| 6. |
6. Write whether the rational numbers will have a terminating decimalexpansionor a non terminating decimal expansion. |
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Answer» it will be terminating decimal expansionby dividing answer will be 0.034 |
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| 7. |
let * be a binary operation on the set of all non zero real number , given by a*b =ab/5 for a,b belongs to R-{0}. find the value of x , given that 2*(x*5)=10 |
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| 8. |
18. Show that the line segment joining the points A(-5, 8) and B(10, 4) is trisected by the co-ordinate axes. Also, find the points of trisection of AB.Hint : Let -axis divide AB in the ratio k : 1 at the point Ps, O. Let y-axis divide AB in theratio p : 1 at the point Qr0, y).]1rt |
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| 9. |
(a) one point(b) three points(c) two point- Let f(x) = X and gx) = 2*, then the solution set of fog (x) = gof(x) is(d) none of these(a) R(b) {0}(c)C0,2}mn AB of equal size. Thus, AUBUC=S,AB |
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| 10. |
186· Two circles intersect at two points B and C.D and PProve that9.Through B, two line segments ABD and PBOare drawn to intersect the circles at AQ respectively (see Fig. 10.40). PneZACP ZOCD. |
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| 11. |
Let ABCD be a trapezium, in which AB is parallel to CD, AB -11, BC 4, CD - 6 and DA-3.The distance between AB and CD is(KVPY 2016) |
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| 12. |
o circles intersect at two points B and C.Through B, two line segments ABD and PBQare drawn to intersect the circles at A, D and PQ respectively (see Fig. 10.40). Prove that9. TwA |
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| 13. |
9. Two circles intersect at two points B and CThrough B, two line segments ABD and PBQare drawn to intersect the circles at A, D and PQ respectively (see Fig. 10.40). Prove that2 ACP =2 QCD. |
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| 14. |
L(a) 500 g7. I'kg of ric00 She make if each pack contai. She wants to put it into smaller packs. How(b) 200gof rice costs 47.20. Find the cost of:3 kg of rice (b) 500 g of rice 25(c) 100 gnf iイ00 kg wheat was ec |
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| 15. |
05A steamer goes downstream and covers the distancebetween two ports in 4 hours while it covers the samedistance upstream in 5 hours. If the speed of thestream is 2 km/h. find the speed of the steamer in stillwatert 3616 KMPH40T 17 KMPHDan,ha(A)18 KMPH(D) 20 KMPH |
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Answer» Let 'x' be the speed of the streamer in still water.Distance in both cases is same We know, speed=distance/time. So when downstream,x + 2 = d/4=> d = 4x + 8. When upstream,x - 2 = d/5=> d = 5x - 10. Since, d is same=>4x + 8 = 5x - 10=> 5x - 4x = 10+8=> x = 18.Hence, speed of the streamer in still water is 18 kmph. |
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| 16. |
6. Raju went to Town to meet his friend at an average speed of 40 kmph andreturns at an average speed of 60 kmph. What is the average speed of the wholejourney? r |
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Answer» 40=d/t160=d/t240t1=60t24t1=6t2Now,Speed=2d/t1+t2=40t1/(t1+(2/3)t1)=120t1/5t1=24kmph |
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| 17. |
EOO & DF 11 OR. Show that EFIORric.engSR |
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| 18. |
whole garden if gardener charges5 per m222. A wire in the shape of a circle encloses the area 38.5 em2. If the wire is rebent to form a square, ind tof the square.ric rirrles nf radii 8 cm and 6 cm respectively |
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Answer» Area of circle = πr²=> π*(r²) = 38.5=> r² = 12.25=> r = 3.5cm Circumference = 2πr = 22cm = Perimeter of square=> 4a = 22=> a = 5.5cm Area of square = a²= 30.25 cm² Please hit the like button if this helped you |
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| 19. |
37.The pie chart below shows howNanga spends her day.SleepingDining120°24°+RestingStudying66°PlayingHow much more time does shespend sleeping than studying andresting? |
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| 20. |
Exercise 1.6of it on transport and 8 of it on tood. How much me1. A person earns 1000 in a day. He spendsdoes he save in a day?2hours Find the speed of the bus |
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| 21. |
) The circle graph shows how a Class 7 childspends the 24 hours in a day. Give thenumber of hours for each activity.Sleep 37 %School 25%Work andplay 25%Others12 % |
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| 22. |
. Find the area of the quadrilateral whose vertices, taken in order, are (-4, -2), (-3,-5),2) and (2,3). |
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| 23. |
Find the area of the quadrilateral whose vertices, taken in order, are (-4,-2), (-3,-5)2) and (2.3) |
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| 24. |
) The circle graph shows how a Class 8 childspends her time in a day. Give the number ofhours for each activitySleep 37 %School 25%Work andI play 25%Others12%% |
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Answer» Thank u |
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| 25. |
17. Lalit reads a book for 1 hours every day and reads the entire book in 6 days. How manyhours does he take to read the entire book? |
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| 26. |
3017. Lalit reads a book for 1 hours every day and reads the entire book in 6 days. How manyhours does he take to read the entire book? |
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| 27. |
convert the following into kilometres and meters. 4000m |
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Answer» The conversion would be 4 km is 4000 m. |
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| 28. |
20. The angle of elevation of the top of a building from a point A on theground is 30°. On moving a distance of 30 m towards its base to a pointB, the angle of elevation changes to 45° Find the height of the buildingand the distance of its base from the point A. [Take V3 = 1.732 |
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| 29. |
Find the locus of the moving point P such that 2PAs3PB where A is (0, 0) and B is (4-3) |
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| 30. |
4. If a print C lies hetween two points A and B such that AC-C, then prove thaAC AB Explain by drawing the figure |
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Answer» thnks |
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| 31. |
Find the length of the sides of triangles or quadrilateral whose sides are given below(7,10) (3,4) and (-2,5) |
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| 32. |
14 A 7 m road runs along a circular park of radius 49 m. Find the area of the roadfn muare field of side 17 m. Find the area of |
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Answer» this is wrong answer |
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| 33. |
(c) 45{})।10. निम्नांकित चित्र में, 24/P/}} = 65° तो 2408 = ?>=(a) 120°(b) 130°(c) 140°(d) 150उला । |
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Answer» Angle apb = 2*angle aob = 2*65=130° |
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| 34. |
. Q1. Name the quadrilateral formed by joining the mid points of the sides of any guadrilateralABCDQ2. Find the angle whose romnl |
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Answer» hence pqrs is a rectangle |
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| 35. |
A7 m wide road runs around a circular park whose circumference is 176 cm. Find the cost offencing the outer boundary of the road at 21 per m |
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| 36. |
Circumference of a circular park is 264 metres. A 3.5 metre road runs on the outside around it. Find the cost of constructing the road at R 200 per squaremetre. |
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Answer» Circumference=264m264m=2πr2*22/7*r=264mr=(264*7/2*22)mr=42mradius of park=42m width of road=3.5mso, outer radius=42m+3.5m =45.5mnow,area of park=πr*r =22/7*42m*42m =5544sq metrewhole area=area of field+area of road=πR*R=22/7*45.5m*45.5m=6506.5sq m area of road=whole area-area of field=6506.5sq m-5544sq m=962.5sq m cost for constructing road =rupees200* area of road =rupees200*962.5 =rupees192500 answer |
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| 37. |
The length and breadth of a rectangular playground are 140 mand 130 m. What distance do you cover if you cover around the ground twice? |
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| 38. |
The length and breadth of a rectangular playground are 140 m and 130 m. What distance do you cover if you cover around the ground twice? |
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Answer» thanku |
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| 39. |
how to convert meters to kilometers |
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Answer» We know that1 metre= 0.001 kilometre |
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| 40. |
24. In the given figure,line APB meets thex-axis at point A andy-axis at point B. P isthe point (-4, 2) andAP: PB 1:2. Findthe co-ordinates of A âand B. [2013]0 |
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| 41. |
(b)The co-ordinate of a point on y-axis whichis equidistant from the pointB (-4, 3) will be:A(6, 5) and(iii)(0,5)(iv) (0, 3) |
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| 42. |
icle goes from point A to point B moving in a semicircle of radius 1.0 m. The magnitudeof average speed is:1m(C) 1 m/sec(D) zero(A) 3.14 m/sec(B) 6.28 m/sec |
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Answer» total distance = π*R = 3.14*1 = 3.14m so, avg speed = total distance/total time = 3.14/1 = 3.14m/s wong anshwer |
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| 43. |
38. A circle and) one point b) two points c) no point d) many pointa tangent to the circle have in common |
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Answer» a) one point Explaination :Tangent is defined as line touching a curve only at one point (a)one point |
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| 44. |
Verify whether the following are zeroes of the polynomial, indicated against them(i) p(x)=3 x+1, x=-\frac{1}{3} \quad \text { (ii) } p(x)=5 x-\pi, x=\frac{4}{5} |
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Answer» put x = -1/3 in p(x) i) p(-1/3) = 3×(-1)/3 + 1 = 0Yes, -1/3 is zero of polynomial p(x) ii) p(4/5) = 5x - pi 5×(4/5) - pi = 4 - piNo x = 4/5 is not a zero of polynomial |
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| 45. |
Q-8 ABC is a right triangle, right-angled at C. IfA= 30° and AB - 40.units. Find the reaming two sides of triangle ABC ..200 000 |
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| 46. |
erify whether the following are zeroes of the polynomial, indicated against them)p(x) =x', x=0(vi) p(x)=lx +m,x=- |
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| 47. |
4. Find x in each of the following figures:130°110°120°70°120° |
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Answer» Sum of angles in quadrilateral is 360. 120+110+70+x=360 x=60 |
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| 48. |
Compute the Median for the given dataClass -intervalFreguency100-110 110-120 120-130 130-140 140-150 150-16063548721004 |
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Answer» hit like if you find it useful |
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| 49. |
find X in quadrilateral whose angle are 50 130 120 and x |
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| 50. |
-50 %2B 120 %2B 130 |
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Answer» add 120 and 130 when the total comes subtract 50 from it so the answer will be 200 According to bodmas120+130= 250now250-50= 200thanks first add 120 to 130 is 250 then substrate 250-50 is 200 120+130=250. 250-50. 200 |
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