Explore topic-wise InterviewSolutions in Current Affairs.

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1.

uswn 4 झेष्डशनी, रीते LUmg 209 g [y शोधो> “कट. SRS g A

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2.

(209 + 56८6 - 1 _ ८0585९८60 -(भा9+ 1... 1- आपबिक ही 1मान कब्र:

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3.

Exercise 2.41. Maria thinks of a number and subtractsfrom it. She multiplies the result by 8. The resultnow obtained is 3 times the same number she thought of. What is the number?2If 71 is added to hoth the numbers, then one of

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4.

Reduce the following fractions to the lowest terms209247Solution:ww.w.ccn.

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209/247 = 11/13.

5.

5 Construct an equilateral triangle, given its side and justify the construction.

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6.

5.Construct an equilateral triangle, given its side and justify the construction.

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7.

If 2 is added to each of 5, 2, 7, 6, 5 does the mean increases by 2.Justify your answer.

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initial mean of all 5 numbers = (5+2+7+6+5)/5 = 25/5 = 5now add 2 in all numbers so resultant mean= (7+4+9+8+7)/5 = 35/5 = 7so mean is also increased by 2

8.

(c) In the given figure if LBAD-65 LABD-70° LBDC 45. Calculate () LBCD (il) LADB (ii) LACB show thatAC is the diameter of the circle (3)55 70

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9.

What is greatest number that will divide 2400 and 1810 and leaves |reminder 6 and 4 respectively ?

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10.

D is a point on the side BC of a triangleABC such that LADC < BAC. Showthat CA" CB.CD

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11.

4In the figure AB II CD. Ifx =y and y-z, find LBCD, LABC"and LBAD.8

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12.

बे... R(i) o+ B=oe Rt1; यदि निघात बहपदे 25 न L TG 8ही (i) कि+ लिन एकऔर + हों, तो(फ0 ofy

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hit like if you find it useful

thanks

13.

Divide1575 between Kamal and Madhu in the ratio 7 : 2.

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14.

8. Divide1575 between Kamal and Madhu in the ratio 7 : 2.

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15.

Madhu bought a house for 1,31,25,000. If its value depreciates at the rate of10% per annum, what will be its sale price after three years?

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16.

**(c) 62value of * the statement(15) 135 = 1-B 49. For what value of * theis true?(a) 15(S.S.C., 2002)(b) 25(d) 45lo hoth the questionP.0.10) 35

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As(45/15)(45/135)=1

3/1)(1/3)= 1

Ans:- 45.

17.

l:Lo

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(-3/10)^8-11

= (-3/10)^-3

= -(10/3)³

= -1000/27

The answer is 10/-3 power of 3

18.

find the reminder when the polynomial 4y³-3y²-5y+1 divided by 2y+3

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_47/4 is thr answer of this question

19.

Find the quotient and reminder. Divide (x3 -3x2+ 5x-3) by (x-2)

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20.

If $ f(x)=2 x^{3}+5 x^{2}-3 x-2 $ is dividedby $ x-1 $ then find the reminder

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21.

can (x-3) be the reminder on the division of a polynomial p(x) by (2x+5)?justify your answer

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22.

What is reminder theorem?

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In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It states that the remainder of the division of a polynomial by a linear polynomial is equal to In particular, is a divisor of if and only if a property known as the factor theorem

23.

2^33/9 Reminder=?

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2/9 is the right answer

2^33/9=2^11/3=2^9+2/3= 2^3+2==2^5

2/9 is the best answer

954437176.8888888is correct answer

95444 is the correct answer

24.

4. By what number5. What should be divided by (-7) to obtain 12?Evaluare:1-2

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25.

. In the given figure, ABCD is a quadrilateralin which AD BC, ABI|CD andLADC LBCD. Show that the pointsA, B, C and D lie on a circle

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26.

Which is the greater ratio?(a) 4: 7 or 9: 11

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4/7=0.57 and 9/11=0.818 then 9/11 is greater than 4/7

27.

उचित सर्वसमिका का उपयोग करतेCX+32CK+)) का गुणनमलबा किजिएTOS)

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28.

14. 4r-2) metres of rope is used to fence the rectangular enclosure shown in the225 mFig. Find x15 Madhu's flower garden is nou25 m

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29.

Q8iIf 84 is divided in the ratio 5:9, what is thegreater of the two parts?Q84

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let x be common multiplehence 5x and 9x84=5x+9x84=14xX=6hence the greater part is 9xthat is 9*6=54

30.

15. In the given figure, PQ ll RS II TU and LM II No. If (MNSfind ZNML40, and ZNOU75, thenM.N40°75°

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GivenLM//ONandPQ //RS// TU

if PQ//RS ,thenangle PMN=angle MNS=40° (alternate interior angle)

then, SNO+NOU=180° (co- int. angles)

SNO +75°=180°SNO=105°

if LM//ONthenangle ONM=angle NML (alternate interior angle) SNO+SNM=NML105°+40°=NMLNML=145°

31.

Find the min Value ofcese tos se

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32.

tos cshat values of e i)looe trueCuL.nive yeason.

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33.

io. 9.42, find a, b, c and d if PQ II RS andalso m ll n.1FEFig. 9.42

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d = 70° (vertically opposite angle)b = 70° ( corresponding angle)c = 70° ( corresponding angle)a = 70° ( corresponding angle)

34.

1. In quadrilateral ACBDACAD and AB bisects 4 A(sceFig. 716). Show that Δ ABC ΔABD.What can you say about BC and BD?

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35.

4- clnssDateJPage4 ho tos Can be Psinted on a shsePa pentevPaPes cam

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One ream = 500 sheets

500X6= 3000 sheets

3000X4= 12000 photos

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36.

12) When a number is divided by 121,the remainder is 25. If the samenumber is divided by 11, theremainder will be(a) 3(c) 6(b) 4(d) 25

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Here let the number be N.

So, N=121*x+25 where x is quotient.

it can be written as N=11(11*x+2)+3

When N is divided by 11 the remainder is3.

37.

Find the least number which when divided by8,9 and 12, left a reminder 3 in each case butwhen divided by 7, left no remainder.

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LCM of 8, 12 and 16 = 48

So The nos. which when divided by 12,16 and 8 and leave remainder 3 will be a multiple of 48 + 3These nos. are 51 ( 48×1 + 3), 99 (48×2 + 3), 147 ( 48×3 +3)... and so on. The least of them which leaves no remainder when divided by 7 is 147. So the ans. is 147.

answer is 147 for this question

lcm of 8, 12 and 16=48, remainder 3 multiples 49+3

multiples 49+3=, those numbers of 51, (48+1,+3), 99(48×2+3), 147(48×3+3), which leaves no remainder divided by 7 is 147.

38.

what should be divided by -7 to obtain 12

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39.

4. In figure, L ACD = L ABC and CP bisects LBCD. Prove that LAPC = LACP

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Hi sir can you give me your no pls

fast

40.

the bo

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41.

is a ight angle at A

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Given : In triangle ABC , AD is perpendicular to BC and AD² = BD.DC

To prove : BAC = 90°

Proof : in right triangles ∆ADB and ∆ADCSo, Pythagoras theorem should be apply , Then we have , AB² = AD² + BD² ----------(1)AC²= AD²+ DC² ---------(2)

AB² + AC² = 2AD² + BD²+ DC²= 2BD . CD + BD² + CD² [ ∵ given AD² = BD.CD ] = (BD + CD )² = BC²Thus in triangle ABC we have , AB² + AC²= BC²

hence triangle ABC is a right triangle right angled at A

∠ BAC = 90°

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ty manoj pau

42.

6. The shape of a garden is rectangular in the middle and semi circular at the end as shownFig 11.18. Find the area and the perimeter of this gardenGarden76 1mFig- 11.18

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43.

LE 1 AD, BE and CF, the altitudes of Δ ABC are equal, prove that Δ ABC is anaquilateral triangle.

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In triangle ABE and triangle ACF

BE=CF (Given)

∠A=∠A (Common)

∠AEB=∠AFC=90°

By AAS congruent rule ABE ≅ ACF

AB=AC (CPCT)

Similarly

BCF ≅ ABD

AB=BC

AC=BC

AB=AC

AB = BC = AC..... Proved

The triangle is a equaliteral triangle .

44.

9. In a garden, there are 24 sunflowers outof 80 flowers. In another garden, there are80 sunflowers out of 110 flowers. Whichgarden has a greater ratio of sunflowers?

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45.

In a garden, there are 24 sunflowers outof 80 flowers. In another garden, there are80 sunflowers out of 110 flowers. Whichgarden has a greater ratio of sunflowers9.

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46.

4. In the adjoining figure, ABCD is a square and1. 12Δ EDC is an equilateral triangle. Prove that(i) AE- BE, (i) 4DAE -154. ANe5. LeNo

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47.

12. MO bisects ZOMN and NO bisects MNS. IfPQ II RS, find MON.

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48.

12. MO bisects QMN and NO bisects 4MNS. IfPQ II RS, find 2MON

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49.

Fig. 6.18A.Band AC of Δ A BC are produced to E andD. In Fig, 6.19, sidectiv. If angle bisectors BO and CO of 4CBE and ZBCDmeet each other at point O, then prove that;< BOC = 90°-4x2Fig. 6.19

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In triangle ABC, we apply angle sum property,therefore, x+y+z=180°=>y+x=180°-x. --------(1)Now, exterior angle EBC is sum of interior opposite angles x and z.so angle EBC= x+z=> angleEBC/2=(x+z)/2=>angleOBC=(x+z)/2. --------(2){OBC is half angle EBC as BO is angle bisector}

Similarly, angle DCB=x+yso angleDCB/2=(x+y)/2so angle OCB= (x+y)/2. --------(3)

now in triangle OBC we apply angle sum property.angle OBC + angle OCB + angle BOC=180°

using (2) and (3)(x+z)/2+(x+y)/2+angle BOC=180°=>x+(y+z)/2+angle BOC = 180°

Using (1)x+(180°-x)/2 + angle BOC= 180°=>x/2 +90° +angle BOC=180°=>angle BOC= 90°-x/2hence proved.

50.

o. A room is 8.5 m long, 6.5 m broad and 3.4 m high. It has two doors, each measuring(1.5 m by 1 m) and two windows, each measuring (2 m by 1 m). Find the cost of painting tsfour walls at 160 per m2

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